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FrMe9QfD2XDJXr%t"OA#ǝمpPD~>\{n\dwYz)|VS}z3(BD) ype=}4-5K?%&Y5Ǜ%G\[θUQϱ~Uzθ₪SNfp,Џ2>8ҧUcs`SȊ23Q|gDDI Lԏy>/ProcSet[/PDF/Text]>>/Subtype/Form/FormType 1/Matrix[1.0 0.0 0.0 1.0 0.0 0.0]/PieceInfo<>>>stream 0 g 0 i BT /TT0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 8 0 0 8 208.40401 748 Tm (Pacific Symposium on Biocomputing 7:589-600 \(2002\) )Tj ET endstream endobj 65 0 obj<> endobj 66 0 obj 8945 endobj 67 0 obj<>stream 0 0 0 rg 1 i BT /TT0 9.75 Tf -0.52969 Tc 0.34219 Tw 0 Ts 100 Tz 0 Tr 220.5 638.25 Td (IMPROVING SEQUENCE ALIGNMENTS )Tj 0 Tc -0.1875 Tw 174 0 Td ( )Tj -0.4257 Tc 0.2382 Tw -192.75 -11.25 Td (FOR INTRINSICALLY DISORDERED PROTEINS)Tj 0 Tc -0.1875 Tw 207 0 Td ( )Tj /TT1 9 Tf 0 Tw -103.5 -9.75 Td ( )Tj 0.10519 Tc -0.10519 Tw -94.5 -11.25 Td (PREDRAG RADIVOJAC, ZORAN OBRADOVIC)Tj 0 Tc 0 Tw 189.75 0 Td ( )Tj /TT2 9 Tf -0.0464 Tc 0.0464 Tw -231 -11.25 Td (Center for Information Science and Technology, Temple University, U. S. \ A.)Tj 0 Tc 0 Tw 272.25 0 Td ( )Tj /TT1 9 Tf -136.5 -10.5 Td ( )Tj 0.0452 Tc -0.0452 Tw -82.5 -10.5 Td (CELESTE J. BROWN, A. KEITH DUNKER)Tj 0 Tc 0 Tw 165.75 0 Td ( )Tj /TT2 9 Tf -0.0759 Tc 0.0759 Tw -210 -11.25 Td (School of Molecular Biosciences, Washing)Tj -0.0397 Tc 0.0397 Tw 151.5 0 Td (ton State University, U. S. A.)Tj 0 Tc 0 Tw 102.75 0 Td ( )Tj /TT1 9.75 Tf -0.1875 Tw -127.5 -12 Td ( )Tj /TT1 8.25 Tf 0.02679 Tc 0.03571 Tw -154.5 -10.5 Td (Here we analyze sequence alignments for intrinsically disordered protein\ s. For 55 disordered )Tj -0.00259 Tc -0.0406 Tw 0 -9.75 TD (protein families we measure the performance of different scoring matrice\ s and propose one a)Tj -1.1861 Tc 0 Tw 306 0 Td (d-)Tj 0.07829 Tc 0.10921 Tw -306 -10.5 Td (justed to disordered regions. An iterat)Tj -0.0349 Tc 0.0081 Tw 129 0 Td (ive algorithm of realigning sequences and recalculating )Tj -0.0285 Tc 0.1277 Tw -129 -9.75 Td (matrices is designed and tested. For each matrix we also test a wide ran\ ge of gap penalties. R)Tj -0.58009 Tc 0 Tw 306 0 Td (e-)Tj -0.02251 Tc 0.04919 Tw -306 -9.75 Td (sults show an improvement in the ability to detect and discriminate rela\ ted disordered proteins )Tj 0.05881 Tc 0.12869 Tw 0 -10.5 TD (whose ave)Tj 0.1541 Tc 0.0334 Tw 35.25 0 Td (rage sequence identity with the other fa)Tj 0.3315 Tc 0 Tw 136.5 0 Td (m)Tj 0.033 Tc 0.1545 Tw 6.75 0 Td (ily members is below 50%.)Tj /TT1 9.75 Tf 0 Tc -0.1875 Tw 91.5 0 Td ( )Tj /TT0 9.75 Tf -0.1895 Tc 0.002 Tw -285 -30.75 Td (1 Introduction)Tj 0 Tc -0.1875 Tw 57.75 0 Td ( )Tj /TT1 9.75 Tf 0.0977 Tc 1.9648 Tw -57.75 -26.25 Td (Amino acid sequence alignment is the cornerstone of bioinformatics. Alig\ nment )Tj 0.0573 Tc 0.8802 Tw 0 -12 TD (algorithms include optimal pairwise comparisons, either global)Tj /TT1 6.75 Tf 0.375 Tc 0 Tw 254.25 4.5 Td (1)Tj /TT1 9.75 Tf 0.0963 Tc 0.4662 Tw 3.75 -4.5 Td ( or local)Tj /TT1 6.75 Tf 0.375 Tc 0 Tw 33 4.5 Td (2)Tj /TT1 9.75 Tf 0.05881 Tc 0.50369 Tw 3.75 -4.5 Td (, as well as )Tj 0.10229 Tc -0.28979 Tw -294.75 -12 Td (heuristic )Tj 0.2025 Tc 0.86 Tw 38.25 0 Td (algorithms such as FastA)Tj /TT1 6.75 Tf 0.375 Tc 0 Tw 105.75 4.5 Td (3)Tj /TT1 9.75 Tf 0.00529 Tc 0.55721 Tw 3.75 -4.5 Td ( and BLAST)Tj /TT1 6.75 Tf 0.375 Tc 0 Tw 51 4.5 Td (4)Tj /TT1 9.75 Tf -0.03619 Tc 0.59869 Tw 3.75 -4.5 Td (. Optimal multiple sequence alig)Tj 0.4391 Tc 0 Tw 129 0 Td (n-)Tj -0.00861 Tc -331.5 -12 Td (ments)Tj /TT1 6.75 Tf 0.375 Tc 24 4.5 Td (5)Tj /TT1 9.75 Tf 0.0416 Tc 1.5209 Tw 3.75 -4.5 Td ( suffer from exponential complexity with increasing numbers of s)Tj 0.17101 Tc 0 Tw 271.5 0 Td (e)Tj 0.2697 Tc -0.4572 Tw 4.5 0 Td (quences. )Tj 0.0106 Tc 1.0519 Tw -303.75 -12 Td (Indeed, the multiple alignment problem is NP)Tj -0.2467 Tc 0 Tw 185.25 0 Td (-)Tj 0.09171 Tc 0.47079 Tw 3 0 Td (complete; furthermore, a scoring sy)Tj 0.60519 Tc 0 Tw 144 0 Td (s-)Tj 0.0117 Tc 1.3008 Tw -332.25 -12 Td (tem is difficult to define)Tj /TT1 6.75 Tf 0.375 Tc 0 Tw 99.75 4.5 Td (6)Tj /TT1 9.75 Tf 0.10989 Tc 0.9213 Tw 3.75 -4.5 Td (. These facts gave rise to different suboptimal alg)Tj 0.375 Tc 0 Tw 206.25 0 Td (o)Tj -0.0285 Tc 0.591 Tw 5.25 0 Td (rithms )Tj 0.17171 Tc 0.39079 Tw -315 -12 Td (based on progressive alignments)Tj /TT1 6.75 Tf 0.1875 Tc 0.375 Tw 134.25 4.5 Td (7, 8)Tj /TT1 9.75 Tf 0.0554 Tc -0.2429 Tw 11.25 -4.5 Td (. Finally, there are sequence profiles)Tj /TT1 6.75 Tf 0.375 Tc 0 Tw 143.25 4.5 Td (9)Tj /TT1 9.75 Tf 0.31709 Tc -0.50459 Tw 3.75 -4.5 Td ( and hi)Tj 0.375 Tc 0 Tw 27 0 Td (d)Tj 0.30701 Tc 0.25549 Tw 5.25 0 Td (den )Tj -0.04469 Tc 1.35719 Tw -324.75 -12 Td (Markov models)Tj /TT1 6.75 Tf 0.375 Tc 0 Tw 63.75 4.5 Td (10)Tj /TT1 9.75 Tf 0.0345 Tc 0.528 Tw 7.5 -4.5 Td (, which exploit position)Tj -0.2467 Tc 0 Tw 94.5 0 Td (-)Tj 0.1468 Tc 0.4157 Tw 3 0 Td (specific dependencies within pr)Tj 0.375 Tc 0 Tw 128.25 0 Td (o)Tj 0.0305 Tc 0.532 Tw 5.25 0 Td (tein fam)Tj -0.35361 Tc 0 Tw 32.25 0 Td (i-)Tj 0.0508 Tc 0.8867 Tw -334.5 -12 Td (lies. All alignment methods r)Tj 0.1261 Tc 0.4364 Tw 117.75 0 Td (equire a scoring system, which is typically a)Tj 0.375 Tc 0 Tw 180.75 0 Td (d)Tj 0.2652 Tc 0.2973 Tw 5.25 0 Td (justed to )Tj 0.08521 Tc -0.27271 Tw -303.75 -12 Td (optimize sensitivity and specificity.)Tj 0 Tc -0.1875 Tw 140.25 0 Td ( )Tj 0.1675 Tc 1.145 Tw -123 -12 Td (In a given twenty)Tj -0.2467 Tc 0 Tw 74.25 0 Td (-)Tj 0.375 Tc 3 0 Td (by)Tj -0.2467 Tc 10.5 0 Td (-)Tj 0.0592 Tc 0.95329 Tw 3 0 Td (twenty scoring matrix, each entry, )Tj /TT2 9.75 Tf -0.0428 Tc 0 Tw 144 0 Td (s)Tj /TT2 6.75 Tf 0.3735 Tc 3.75 -1.5 Td (ij)Tj /TT1 9.75 Tf 0.1803 Tc 0.8322 Tw 4.5 1.5 Td (, is the score when )Tj 0.0589 Tc 0.1286 Tw -260.25 -12 Td (amino acids )Tj /TT2 9.75 Tf 0.28951 Tc 0 Tw 49.5 0 Td (i)Tj /TT1 9.75 Tf 0.30701 Tc -0.11951 Tw 3 0 Td ( and )Tj /TT2 9.75 Tf 0.28951 Tc 0 Tw 19.5 0 Td (j)Tj /TT1 9.75 Tf 0.129 Tc -0.3165 Tw 2.25 0 Td ( are aligned opposite one another. Typically, )Tj /TT2 9.75 Tf -0.0428 Tc 0 Tw 180 0 Td (s)Tj /TT2 6.75 Tf 0.3735 Tc 3.75 -1.5 Td (ij)Tj /TT1 9.75 Tf 0.1519 Tc -0.1519 Tw 4.5 1.5 Td ( is a function )Tj 0.4391 Tc 0 Tw 54 0 Td (of)Tj 0 Tc -0.1875 Tw 8.25 0 Td ( )Tj ET 0 0 0 RG 0.75 w 10 M 1 j 1 J []0 d 304.5 284.25 m 341.25 284.25 l S BT /TT1 10 Tf -0.33 Tc 0 Tw 336.75 273.75 Td (\))Tj -8.25 0 Td (\()Tj -10.5 0 Td (\))Tj -6 0 Td (\()Tj 19.5 14.25 Td (\))Tj -0.25 Tc -8.25 0 Td (,)Tj -0.33 Tc -6 0 Td (\()Tj -0.00999 Tc -27 -6.75 Td (log)Tj /TT2 10 Tf 0.22 Tc 43.5 -7.5 Td (j)Tj 0.25 Tc -10.5 0 Td (p)Tj 0.22 Tc -8.25 0 Td (i)Tj 0.25 Tc -8.25 0 Td (p)Tj 0.22 Tc 21.75 14.25 Td (j)Tj -8.25 0 Td (i)Tj 0.25 Tc -8.25 0 Td (p)Tj /TT1 9.75 Tf -0.26401 Tc 0.07651 Tw 31.5 -6.75 Td (, \(1\))Tj 0 Tc -0.1875 Tw 132 0 Td ( )Tj 0.03619 Tc -0.22369 Tw -339.75 -22.5 Td (where )Tj /TT2 9.75 Tf 0.375 Tc 0 Tw 27 0 Td (p)Tj /TT1 9.75 Tf -0.2467 Tc 5.25 0 Td (\()Tj /TT2 9.75 Tf 0.28951 Tc 3 0 Td (i)Tj /TT1 9.75 Tf -0.1875 Tc 3 0 Td (,)Tj 0 Tc -0.1875 Tw 2.25 0 Td ( )Tj /TT2 9.75 Tf 0.28951 Tc 0 Tw 2.25 0 Td (j)Tj /TT1 9.75 Tf 0.0755 Tc 0.487 Tw 2.25 0 Td (\) is the joint probability)Tj /TT1 6.75 Tf 0.0023 Tc 0 Tw 96 4.5 Td (f)Tj 1.5 0 Td (-)Tj 0.375 Tc 2.25 0 Td (1)Tj /TT1 9.75 Tf 0.12601 Tc 0.43649 Tw 3.75 -4.5 Td ( of the aligned pair of residues )Tj /TT2 9.75 Tf 0.28951 Tc 0 Tw 128.25 0 Td (i)Tj /TT1 9.75 Tf 0.30701 Tc 0.25549 Tw 3 0 Td ( and )Tj /TT2 9.75 Tf 0.28951 Tc 0 Tw 21 0 Td (j)Tj /TT1 9.75 Tf 0.1834 Tc 0.3791 Tw 2.25 0 Td (, and )Tj /TT2 9.75 Tf 0.375 Tc 0 Tw 22.5 0 Td (p)Tj /TT1 9.75 Tf -0.2467 Tc 5.25 0 Td (\()Tj /TT2 9.75 Tf 0.28951 Tc 3 0 Td (i)Tj /TT1 9.75 Tf -0.2467 Tc 0.0592 Tw 3 0 Td (\) )Tj 0.12511 Tc 0.31239 Tw -336.75 -12 Td (the probability of occurrence of residue )Tj /TT2 9.75 Tf 0.28951 Tc 0 Tw 164.25 0 Td (i)Tj /TT1 9.75 Tf 0.0988 Tc 0.4637 Tw 3 0 Td (. This expression is called the log)Tj -0.2467 Tc 0 Tw 136.5 0 Td (-)Tj 0.375 Tc 3 0 Td (od)Tj 0.2785 Tc -0.466 Tw 10.5 0 Td (ds r)Tj 0.3371 Tc 0 Tw 15 0 Td (a-)Tj 0.0575 Tc 0.505 Tw -332.25 -12 Td (tio \(mutual information\) and when the log)Tj 0.17101 Tc 0 Tw 169.5 0 Td (a)Tj 0.0981 Tc -0.1356 Tw 4.5 0 Td (rithm is to base two it is measured in bits. )Tj 0.15939 Tc -0.2063 Tw -174 -12 Td (The total score of two aligned sequences is finally calculated as the su\ m of scores of )Tj 0.222 Tc 0 Tw T* (each)Tj /TT1 12 Tf 0 Tc 18.75 0 Td ( )Tj /TT1 9.75 Tf 0.0088 Tc 1.58501 Tw 5.25 0 Td (aligned amino acid pair, along with empirically determined gap)Tj -0.2467 Tc 0 Tw 261 0 Td (-)Tj 0.4071 Tc 0.9054 Tw 3 0 Td (opening a)Tj 0.375 Tc 0.1875 Tw 41.25 0 Td (nd )Tj 0.30701 Tc 0 Tw -329.25 -12 Td (gap)Tj -0.2467 Tc 15 0 Td (-)Tj 0.1228 Tc -0.3103 Tw 3 0 Td (extension penalties that provide the means to accommodate length variabi\ lity.)Tj 0 Tc -0.1875 Tw 309.75 0 Td ( )Tj /TT1 12 Tf 0 Tw -327.75 -30.75 Td ( )Tj 90 0 Td ( )Tj ET 135.75 170.25 144 0.75 re f BT /TT1 12 Tf 279.75 168 Td ( )Tj /TT1 6.75 Tf 0.0023 Tc -144 -7.5 Td (f)Tj 1.5 0 Td (-)Tj 0.375 Tc 2.25 0 Td (1)Tj /TT1 8.25 Tf 0.1537 Tc 0.1088 Tw 3.75 -4.5 Td (The scoring function is defined in terms of probabilities that )Tj -0.15041 Tc 0.0379 Tw 210.75 0 Td (are approximated by observed relative )Tj 0.106 Tc 0.0815 Tw -218.25 -9.75 Td (frequencies. We also use terms relative frequency and probability interc\ hangeably.)Tj /TT1 9.75 Tf 0 Tc -0.1875 Tw 282.75 0 Td ( )Tj ET q /GS0 gs /Fm0 Do Q endstream endobj 68 0 obj 137 endobj 69 0 obj<>/ProcSet[/PDF/Text]>>/Subtype/Form/FormType 1/Matrix[1.0 0.0 0.0 1.0 0.0 0.0]/PieceInfo<>>>stream 0 g 0 i BT /TT0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 8 0 0 8 208.40401 748 Tm (Pacific Symposium on Biocomputing 7:589-600 \(2002\) )Tj ET endstream endobj 70 0 obj<> endobj 71 0 obj 8625 endobj 72 0 obj<>stream 0 0 0 rg 1 i BT /TT0 12 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 135.75 131.25 Td ( )Tj /TT0 9.75 Tf 0.1264 Tc 0.3736 Tw 18 506.25 Td (Two important sets of scoring matrices are the PAM \(accepted point muta\ tion\) )Tj 0.0499 Tc 0 Tw -18 -12 Td (series)Tj /TT0 6.75 Tf 0.4375 Tc 23.25 4.5 Td (11,)Tj 0 Tc -0.1875 Tw 9 0 Td ( )Tj 0.375 Tc 0 Tw 1.5 0 Td (12)Tj /TT0 9.75 Tf 0.088 Tc 1.5995 Tw 7.5 -4.5 Td ( and the BLOSUM \(block substitution\) series)Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 191.25 4.5 Td (13)Tj /TT0 9.75 Tf -0.1095 Tc 0.972 Tw 7.5 -4.5 Td (. The initial PAM matrix )Tj 0.3138 Tc -0.5013 Tw -240 -12 Td (was based on)Tj 0.10001 Tc -0.28751 Tw 54.75 0 Td ( just 1,572 substitutions. Evolutionary mode)Tj 0.28951 Tc 0 Tw 175.5 0 Td (l)Tj 0.2382 Tc -0.4257 Tw 2.25 0 Td (ing was then used to boost )Tj 0.2558 Tc 1.0567 Tw -232.5 -12 Td (the data and develop a series of m)Tj 0.17101 Tc 0 Tw 146.25 0 Td (a)Tj 0.1378 Tc 1.1747 Tw 4.5 0 Td (trices, but this mode)Tj 0.28951 Tc 0 Tw 85.5 0 Td (l)Tj 0.0813 Tc 0.8562 Tw 2.25 0 Td (ing was imprecise)Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 72.75 4.5 Td (14)Tj /TT0 9.75 Tf 0.1003 Tc 0.0872 Tw 7.5 -4.5 Td (. The )Tj -0.0081 Tc 0.5706 Tw -318.75 -12 Td (BLOSUM series was based on 2,106 aligned multiple)Tj -0.2467 Tc 0 Tw 214.5 0 Td (-)Tj 0.1606 Tc 0.2144 Tw 3 0 Td (sequence segments with more )Tj -0.075 Tc 1.7625 Tw -217.5 -12 Td (than 15 million amino ac)Tj 0.224 Tc 1.0885 Tw 102.75 0 Td (id pairs and used only segments in highly conserved r)Tj 0.3371 Tc 0 Tw 229.5 0 Td (e-)Tj 0.1794 Tc -0.2419 Tw -332.25 -12 Td (gions between gaps \(e.g. blocks\) to ca)Tj 0.28951 Tc 0 Tw 153.75 0 Td (l)Tj 0.1731 Tc -0.3606 Tw 2.25 0 Td (culate substit)Tj 0.375 Tc 0 Tw 54 0 Td (u)Tj 0.0726 Tc -0.2601 Tw 5.25 0 Td (tion probabilities. Grouping the )Tj 0.24561 Tc 1.06689 Tw -215.25 -12 Td (aligned sequences by sequence ide)Tj 0.375 Tc 0 Tw 147.75 0 Td (n)Tj 0.07249 Tc 0.3828 Tw 5.25 0 Td (tity gave the BLOSUM series. After extensive )Tj 0.2177 Tc -0.4052 Tw -153 -12 Td (testing, the )Tj /TT0 8.25 Tf -0.1046 Tc 0 Tw 47.25 0 Td (BLOSUM)Tj /TT0 9.75 Tf -0.1631 Tc -0.0244 Tw 33.75 0 Td (62 matrix was ide)Tj 0.3322 Tc 0 Tw 66.75 0 Td (nt)Tj 0.28951 Tc 8.25 0 Td (i)Tj 0.1058 Tc -0.2932 Tw 2.25 0 Td (fied as the best general scoring matrix)Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 150 4.5 Td (13)Tj /TT0 9.75 Tf -0.1875 Tc 7.5 -4.5 Td (. )Tj 0 Tc -0.1875 Tw 4.5 0 Td ( )Tj 0.1604 Tc -0.3479 Tw -302.25 -12 Td (Many additional scoring matrices have been developed)Tj /TT0 6.75 Tf 0.2625 Tc -0.45 Tw 221.25 4.5 Td (15, 16)Tj /TT0 9.75 Tf 0.2453 Tc -0.28281 Tw 18 -4.5 Td (. These are based on )Tj 0.08211 Tc 1.60539 Tw -257.25 -12 Td (various criteria such as amino acid properties, structural superposition\ , minimum )Tj 0.1718 Tc 1.8907 Tw 0 -12 TD (number of base changes per codon, evolutio)Tj 0.375 Tc 0 Tw 191.25 0 Td (n)Tj 0.54359 Tc 1.51891 Tw 5.25 0 Td (ary p)Tj 0.1046 Tc 1.0204 Tw 22.5 0 Td (roperties, etc. These matrices )Tj 0.1161 Tc -0.3036 Tw -219 -12 Td (have idiotypic advantages, but PAM and BLOSUM remain the most widely use\ d. )Tj 0 Tc -0.1875 Tw 326.25 0 Td ( )Tj 0.16701 Tc 0.27049 Tw -309 -12 Td (The development of scoring matrices has focused on ordered proteins that\ fold )Tj 0.1908 Tc 0.3717 Tw -17.25 -12 Td (into 3)Tj -0.2467 Tc 0 Tw 23.25 0 Td (-)Tj 0.16451 Tc -0.16451 Tw 3 0 Td (D structures. In contrast, many proteins have functional regions)Tj 0.14639 Tc -0.33389 Tw 257.25 0 Td ( that exist as a )Tj 0.0937 Tc 0 Tw -283.5 -12 Td (stru)Tj 0.17101 Tc 15.75 0 Td (c)Tj 0.14059 Tc -0.0602 Tw 4.5 0 Td (tural ensemble at either the secondary or the tertiary level, that is, t\ hese regions )Tj 0.06171 Tc 1.25079 Tw -20.25 -12 Td (are intrinsically disordered)Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 108.75 4.5 Td (17)Tj /TT0 9.75 Tf 0.11839 Tc 0.9691 Tw 7.5 -4.5 Td (. The realization that such disorder is not uncommon )Tj 0.1571 Tc 0.54179 Tw -116.25 -12 Td (and is important for the function of essential proteins has led t)Tj 0.052 Tc 0.5105 Tw 258 0 Td (o a call for the rea)Tj 0.60519 Tc 0 Tw 74.25 0 Td (s-)Tj 0.11031 Tc -0.29781 Tw -332.25 -12 Td (sessment of the view that function always follows from a protein\222s 3)Tj -0.2467 Tc 0 Tw 271.5 0 Td (-)Tj 0.01711 Tc -0.20461 Tw 3 0 Td (D stru)Tj 0.17101 Tc 0 Tw 24.75 0 Td (c)Tj -0.0403 Tc 4.5 0 Td (ture)Tj /TT0 6.75 Tf 0.375 Tc 15.75 4.5 Td (18)Tj /TT0 9.75 Tf -0.1875 Tc 7.5 -4.5 Td (. )Tj 0 Tc -0.1875 Tw 4.5 0 Td ( )Tj 0.0959 Tc 1.5166 Tw -314.25 -12 Td (Amino acid compositions for ordered and intrinsically disordered protein\ are )Tj -0.0062 Tc 0.5687 Tw -17.25 -12 Td (clearly different)Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 63 4.5 Td (19)Tj /TT0 9.75 Tf 0.1059 Tc 0.4566 Tw 7.5 -4.5 Td (. Also, insertions and deletions are more common in di)Tj 0.25591 Tc -0.06841 Tw 222.75 0 Td (sordered as )Tj 0.1454 Tc 0.4171 Tw -293.25 -12 Td (compared to ordered regions)Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 117 4.5 Td (20)Tj /TT0 9.75 Tf 0.1743 Tc 0.2944 Tw 7.5 -4.5 Td (. Thus, the scoring matrices and gap penalties deve)Tj -0.35361 Tc 0 Tw 210 0 Td (l-)Tj 0.0918 Tc 1.7207 Tw -334.5 -12 Td (oped from ordered proteins are likely to be inappropriate for disordered\ protein. )Tj 0.1463 Tc 0.6974 Tw T* (Here we report the first attempts to develop disorder)Tj -0.2467 Tc 0 Tw 216.75 0 Td (-)Tj 0.0896 Tc 0.4729 Tw 3 0 Td (specific scoring matrices w)Tj 0.06799 Tc 0.49451 Tw 109.5 0 Td (ith )Tj 0.1329 Tc -0.3204 Tw -329.25 -12 Td (appropriately weighted gap)Tj -0.2467 Tc 0 Tw 109.5 0 Td (-)Tj 0.2637 Tc -0.4512 Tw 3 0 Td (opening and gap)Tj -0.2467 Tc 0 Tw 67.5 0 Td (-)Tj 0.1463 Tc -0.3338 Tw 3 0 Td (extension penalties.)Tj 0 Tc -0.1875 Tw 78.75 0 Td ( )Tj /TT1 9.75 Tf -0.2352 Tc 0.0477 Tw -261.75 -31.5 Td (2 Materials and Methods)Tj 0 Tc -0.1875 Tw 100.5 0 Td ( )Tj /TT2 9.75 Tf 0.18221 Tc -0.36971 Tw -100.5 -26.25 Td (2.1 Databases, hardware and software)Tj 0 Tc -0.1875 Tw 156.75 0 Td ( )Tj /TT0 9.75 Tf 0.1302 Tc 0.8698 Tw -156.75 -24 Td (A set of proteins with structurally characterized regions of disorder of\ length )Tj /TT3 9.75 Tf -0.1028 Tc 0 Tw 322.5 0 Td (\263)Tj /TT0 9.75 Tf -0.375 Tc 0.5625 Tw 5.25 0 Td ( 40 )Tj 0.1844 Tc -0.3719 Tw -327.75 -12 Td (consecutive residues was identified by dat)Tj 0.1413 Tc -0.3288 Tw 170.25 0 Td (abase and literature searches. Homol)Tj 0.375 Tc 0 Tw 146.25 0 Td (o)Tj -0.1044 Tc -0.0831 Tw 5.25 0 Td (gous )Tj 0.0836 Tc 0.4789 Tw -321.75 -12 Td (proteins were compiled using the BLAST algorithm)Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 208.5 4.5 Td (4)Tj /TT0 9.75 Tf 0.1355 Tc -0.073 Tw 3.75 -4.5 Td (. For proteins with both ordered )Tj 0.1635 Tc 0.22591 Tw -212.25 -12 Td (and disordered regions, it was assumed that segments aligning to the dis\ order were )Tj 0.1302 Tc 0.64661 Tw T* (also disordered. The result was the following dat)Tj 0.4691 Tc 0 Tw 201 0 Td (abase)Tj /TT0 6.75 Tf 0.0023 Tc 23.25 4.5 Td (f)Tj 1.5 0 Td (-)Tj 0.375 Tc 2.25 0 Td (2)Tj /TT0 9.75 Tf -0.28239 Tc 0.84489 Tw 3.75 -4.5 Td (: 1d1r \(10, 23, 32\), 4E bin)Tj 0.4391 Tc 0 Tw 99.75 0 Td (d-)Tj 0.23351 Tc 1.07899 Tw -331.5 -12 Td (ing pr)Tj 0.375 Tc 0 Tw 24.75 0 Td (o)Tj -0.06911 Tc 1.2316 Tw 5.25 0 Td (tein \(7, 115, 58\), ssDNA binding protein \(15, 50, 49\), )Tj /TT3 9.75 Tf -0.1523 Tc 0 Tw 221.25 0 Td (a)Tj /TT0 9.75 Tf -0.1086 Tc 0.4836 Tw 6 0 Td (_tubulin \(54, 48, 84\), )Tj -0.28951 Tc 0 Tw -257.25 -12 Td (DNA)Tj -0.2467 Tc 21 0 Td (-)Tj -0.11169 Tc 5.17419 Tw 3 0 Td (lyase \(7, 40, 80\), Bcl)Tj -0.2467 Tc 0 Tw 99 0 Td (-)Tj 0.375 Tc 3 0 Td (x)Tj /TT0 6.75 Tf -0.3743 Tc 3.75 -1.5 Td (L)Tj /TT0 9.75 Tf -0.2157 Tc 4.90331 Tw 4.5 1.5 Td ( \(7, 50, 81\), ca)Tj 0.28951 Tc 0 Tw 72.75 0 Td (l)Tj -0.1523 Tc 4.4648 Tw 2.25 0 Td (cineurin \(22, 164, 34\), cyclin)Tj -0.2467 Tc 0 Tw 127.5 0 Td (-)Tj /TT0 12 Tf 0 Tc -336.75 -18 Td ( )Tj 90 0 Td ( )Tj ET 135.75 180 144 0.75 re f BT /TT0 12 Tf 279.75 177.75 Td ( )Tj /TT0 6.75 Tf 0.0023 Tc -144 -6.75 Td (f)Tj 1.5 0 Td (-)Tj 0.375 Tc 2.25 0 Td (2)Tj /TT0 6 Tf 0 Tc 3.75 -4.5 Td ( )Tj /TT0 8.25 Tf -0.07001 Tc 0.0575 Tw 1.5 0 Td (The database is presented in the format: family name \(number of sequenc\ es, average sequence length, )Tj -0.03979 Tc 0.22729 Tw -9 -10.5 Td (average sequence ide)Tj 0.375 Tc 0 Tw 70.5 0 Td (n)Tj 0.25951 Tc -0.07201 Tw 4.5 0 Td (tity with )Tj -0.0645 Tc 0.002 Tw 32.25 0 Td (all family proteins\). The latter two numbers were rounded to the neares\ t )Tj -0.0636 Tc 0.078 Tw -107.25 -9.75 Td (integer. For proteins containing both ordered and disordered regions, on\ ly disordered regions were used.)Tj /TT0 9.75 Tf 0 Tc -0.1875 Tw 339.75 0 Td ( )Tj ET q /GS0 gs /Fm0 Do Q endstream endobj 73 0 obj 137 endobj 74 0 obj<>/ProcSet[/PDF/Text]>>/Subtype/Form/FormType 1/Matrix[1.0 0.0 0.0 1.0 0.0 0.0]/PieceInfo<>>>stream 0 g 0 i BT /TT0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 8 0 0 8 208.40401 748 Tm (Pacific Symposium on Biocomputing 7:589-600 \(2002\) )Tj ET endstream endobj 75 0 obj<> endobj 76 0 obj 7037 endobj 77 0 obj<>stream 0 0 0 rg 1 i BT /TT0 12 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 135.75 131.25 Td ( )Tj /TT0 9.75 Tf 0.0117 Tc 1.50529 Tw 0 506.25 TD (dependent kinase inhibitor \(4, 162, 80\), chloroperoxidase \(2, 41, 44\)\ , ubiquinol c)Tj 0.4391 Tc 0 Tw 331.5 0 Td (y-)Tj 0.0361 Tc 1.7764 Tw -331.5 -12 Td (tochrome C reductase \(5, 45, 73\), eukaryotic translation initiation fa\ ct)Tj 0.4178 Tc 0.89481 Tw 291 0 Td (or 4)Tj /TT1 9.75 Tf -0.2572 Tc 0 Tw 16.5 0 Td (g)Tj /TT0 9.75 Tf -0.29111 Tc 1.10361 Tw 3.75 0 Td ( \(4, 98, )Tj -0.0791 Tc 2.2487 Tw -311.25 -12 Td (68\), carrot embryonic protein 1 \(37, 96, 69\), epidermal growth factor\ \(8, 38, 78\), )Tj 0.125 Tc 0 Tw 0 -12 TD (Phe)Tj -0.2467 Tc 15 0 Td (-)Tj -0.04829 Tc 1.11079 Tw 3 0 Td (tRNA synthetase \(14, 88, 34\), flagellin \(34, 102, 48\), negative regu\ lator of fla)Tj 0.4391 Tc 0 Tw 313.5 0 Td (g-)Tj 0.0293 Tc 1.2832 Tw -331.5 -12 Td (ellin synthesis \(8, 98, 45\), f)Tj 0.28951 Tc 0 Tw 112.5 0 Td (i)Tj 0.0159 Tc 1.2966 Tw 2.25 0 Td (bronectin binding protein C \(2, 129, 96\), o)Tj 0.2849 Tc 0.2776 Tw 174.75 0 Td (ncogene fos )Tj -0.37041 Tc 2.68291 Tw -289.5 -12 Td (\(21, 145, 44\), Gly)Tj -0.2467 Tc 0 Tw 72 0 Td (-)Tj 0.17329 Tc 1.88921 Tw 3 0 Td (tRNA sy)Tj 0.375 Tc 0 Tw 37.5 0 Td (n)Tj -0.00819 Tc 1.78951 Tw 5.25 0 Td (thetase \(23, 52, 27\), glycine methyltransferase \(8, 40, )Tj -0.04829 Tc 2.16431 Tw -117.75 -12 Td (86\), gonadotropin \(7, 34, 51\), transcription factor VP16 \(3, 93, 83\)\ , histone 5 \(9, )Tj -0.323 Tc 4.6355 Tw T* (114, 67\), HMG14 \(6, 101, 64\), HMG17 \(14, 87, 75\), HMGI\(Y\) \(10, 1\ 53, 39\),)Tj 0 Tc -0.1875 Tw ( )Tj -0.42599 Tc 0 Tw T* (HMGT)Tj -0.18671 Tc 1.49921 Tw 27.75 0 Td ( \(43, 209, 71\), I)Tj -0.2467 Tc 0 Tw 62.25 0 Td (-)Tj 0.12061 Tc 0.549 Tw 3 0 Td (tRNA synthetase \(23, 39, 33\), inosine monophosphate deh)Tj 0.4391 Tc 0 Tw 238.5 0 Td (y-)Tj -331.5 -12 Td (dr)Tj 0.375 Tc 8.25 0 Td (o)Tj 0.015 Tc 1.57021 Tw 5.25 0 Td (genase \(52, 174, 40\), lactose operon repressor \(37, 61, 45\), metamin\ opeptidase )Tj -0.1035 Tc 2.166 Tw -13.5 -12 Td (\(3, 123, 86\), HIV1 negative factor \(3, 119, 25\), osteocalcin \(20, 4\ 7, 61\), transcri)Tj 0.4391 Tc 0 Tw 331.5 0 Td (p-)Tj 0.05521 Tc 1.25729 Tw -331.5 -12 Td (tion factor p65 )Tj -0.11819 Tc 1.99319 Tw 66.75 0 Td (\(4, 127, 41\), prion \(55, 98, 75\), prothymosin )Tj /TT1 9.75 Tf -0.1523 Tc 0 Tw 186.75 0 Td (a)Tj /TT0 9.75 Tf -0.30051 Tc 1.23801 Tw 6 0 Td ( \(4, 111, 96\), )Tj /TT2 9.75 Tf 0.1963 Tc 0 Tw 54.75 0 Td (Pvu)Tj /TT0 9.75 Tf -0.2467 Tc 0.8092 Tw 15.75 0 Td ( II )Tj -0.08549 Tc 0 Tw -330 -12 Td (m)Tj 0.17101 Tc 6.75 0 Td (e)Tj 0.28951 Tc 4.5 0 Td (t)Tj 0.375 Tc 3 0 Td (h)Tj -0.0087 Tc 2.0712 Tw 5.25 0 Td (yltransferase \(12, 24, 22\), anti)Tj -0.2467 Tc 0 Tw 124.5 0 Td (-)Tj -0.0425 Tc 1.44881 Tw 3 0 Td (termination protein N \(3, 120, 47\), regulator of )Tj -0.28951 Tc 0 Tw -147 -12 Td (G)Tj -0.2467 Tc 6 0 Td (-)Tj -0.03709 Tc 1.84959 Tw 3 0 Td (protein signalling 4 \(17, 80, 38\), acidic ribosomal protein P2)Tj /TT1 9.75 Tf -0.1028 Tc 0 Tw 250.5 0 Td (b)Tj /TT0 9.75 Tf -0.3219 Tc 1.6344 Tw 5.25 0 Td ( \(56, 117, 41\), re)Tj 0.4391 Tc 0 Tw 66.75 0 Td (p-)Tj 0.05859 Tc 0.87891 Tw -331.5 -12 Td (lication protein )Tj 0.04761 Tc 0.51489 Tw 65.25 0 Td (A \(7, 61, 21\), southern bean mosaic virus capsid \(6, 64, 71\), transl\ )Tj 0.4391 Tc 0 Tw 266.25 0 Td (o-)Tj 0.0061 Tc 0.7439 Tw -331.5 -12 Td (case sec61 \(9, 44, 47\), sindbis virus capsid \(6, 101, 45\), small hea\ t shock protein \(6, )Tj -0.07809 Tc 1.14059 Tw T* (40, 42\), sulfotransferase \(12, 69, 32\), )Tj /TT1 9.75 Tf -0.1523 Tc 0 Tw 152.25 0 Td (a)Tj /TT0 9.75 Tf 0.07719 Tc 0.86031 Tw 6 0 Td ( synuclein \(22, 134, 62\), tomato bushy stunt )Tj 0.15601 Tc 1.15649 Tw -158.25 -12 Td (virus ca)Tj 0.375 Tc 0 Tw 33 0 Td (p)Tj 0.2072 Tc 0.3553 Tw 5.25 0 Td (sid )Tj -0.12621 Tc 1.43871 Tw 15.75 0 Td (\(7, 58, 64\), T)Tj -0.2467 Tc 0 Tw 52.5 0 Td (-)Tj 0.03999 Tc 0.52251 Tw 3 0 Td (cell receptor )Tj /TT1 9.75 Tf -0.1523 Tc 0 Tw 54 0 Td (a)Tj /TT0 9.75 Tf -0.0817 Tc 0.8317 Tw 6 0 Td ( \(10, 112, 38\), telomere bindin gprotein \(5, )Tj -0.0226 Tc 2.42599 Tw -169.5 -12 Td (39, 61\), transcription initiation factor IID \(3, 59, 53\), thyroid tra\ nscription fa)Tj 0.17101 Tc 0 Tw 324 0 Td (c)Tj 0.13921 Tc -0.32671 Tw 4.5 0 Td (tor )Tj -0.1028 Tc 1.6028 Tw -328.5 -12 Td (\(10, 187, 47\), Topoisomerase II \(26, 99, 29\), T)Tj -0.2467 Tc 0 Tw 189 0 Td (-)Tj 0.0666 Tc 1.1209 Tw 3 0 Td (tRNA synthetase \(24, 95, 28\), yeast )Tj 0.3344 Tc 0.9781 Tw -192 -12 Td (heat shock)Tj -0.022 Tc 0.87289 Tw 45 0 Td ( protein \(2, 195, 23\). Overall, this database contains 55 families wit\ h 828 )Tj 0.0107 Tc 1.57449 Tw -45 -12 Td (segments of disorder containing 81,491 residues in total. Minimum and ma\ ximum )Tj 0.28481 Tc 1.77769 Tw T* (observed sequence identities b)Tj 0.17101 Tc 0 Tw 131.25 0 Td (e)Tj 0.1591 Tc 1.1534 Tw 4.5 0 Td (tween any two aligned sequences were 10% and )Tj -0.04739 Tc -0.14011 Tw -135.75 -12 Td (99.53%, respe)Tj 0.17101 Tc 0 Tw 54.75 0 Td (c)Tj 0.1217 Tc 4.5 0 Td (tively.)Tj /TT0 12 Tf 0 Tc 24.75 0 Td ( )Tj /TT0 9.75 Tf 0.6963 Tc 0.6162 Tw -66.75 -12 Td (A se)Tj 0.0928 Tc 0.64281 Tw 20.25 0 Td (t of unrelated proteins was taken from reference 21. This set contains 1\ 31 )Tj 0.4391 Tc 0 Tw -37.5 -12 Td (pr)Tj 0.375 Tc 8.25 0 Td (o)Tj 0.0675 Tc -0.255 Tw 5.25 0 Td (teins and 26,692 residues. )Tj 0 Tc -0.1875 Tw 104.25 0 Td ( )Tj 0.0677 Tc 1.2448 Tw -100.5 -12 Td (The various experiments were performed on a Windows based 800 MHz Pe)Tj 0.4391 Tc 0 Tw 314.25 0 Td (n-)Tj 0.1017 Tc -0.2892 Tw -331.5 -12 Td (tium computer using C++ and MATLAB software packages.)Tj 0 Tc -0.1875 Tw 240 0 Td ( )Tj /TT2 9.75 Tf 0.2122 Tc -0.3997 Tw -240 -25.5 Td (2.2 Scoring Matrices)Tj 0 Tc -0.1875 Tw 85.5 0 Td ( )Tj /TT0 9.75 Tf 0.2915 Tc 1.021 Tw -68.25 -24 Td (To bui)Tj 0.0731 Tc 0.4894 Tw 27.75 0 Td (ld scoring matrices we applied a simple iterative algorithm consisting e\ )Tj 0.60519 Tc 0 Tw 287.25 0 Td (s-)Tj 0.22501 Tc -0.41251 Tw -332.25 -12 Td (sentially of two steps:)Tj 0 Tc -0.1875 Tw 87.75 0 Td ( )Tj -0.3109 Tc 0 Tw -69.75 -12 Td (1\))Tj 0 Tc -0.1875 Tw 8.25 0 Td ( )Tj 0.0257 Tc 1.98331 Tw 5.25 0 Td (for a given scoring matrix, align every protein in every family to all t\ he )Tj 0.0961 Tc -0.2836 Tw T* (other proteins belonging to the same family)Tj 0 Tc -0.1875 Tw 173.25 0 Td ( )Tj -0.3109 Tc 0 Tw -186.75 -12 Td (2\))Tj 0 Tc -0.1875 Tw 8.25 0 Td ( )Tj 0.1058 Tc -0.2933 Tw 5.25 0 Td (for a given set of alignments calculate )Tj 0.0157 Tc -0.2032 Tw 153 0 Td (a new scoring matrix)Tj 0 Tc -0.1875 Tw 81 0 Td ( )Tj -265.5 -12 Td ( )Tj 0.14149 Tc 0.4211 Tw 17.25 -12 Td (Using )Tj /TT0 8.25 Tf -0.1046 Tc 0 Tw 27.75 0 Td (BLOSUM)Tj /TT0 9.75 Tf -0.375 Tc 33.75 0 Td (62)Tj 0.09399 Tc 1.03101 Tw 9 0 Td ( as the initial matrix, these two steps were repeated until the )Tj 0.15199 Tc -0.33949 Tw -87.75 -12 Td (scoring matrices in two successive iterations remained essentially uncha\ nged.)Tj 0 Tc -0.1875 Tw 311.25 0 Td ( )Tj ET q /GS0 gs /Fm0 Do Q endstream endobj 78 0 obj 137 endobj 79 0 obj<>/ProcSet[/PDF/Text]>>/Subtype/Form/FormType 1/Matrix[1.0 0.0 0.0 1.0 0.0 0.0]/PieceInfo<>>>stream 0 g 0 i BT /TT0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 8 0 0 8 208.40401 748 Tm (Pacific Symposium on Biocomputing 7:589-600 \(2002\) )Tj ET endstream endobj 80 0 obj<> endobj 81 0 obj 10324 endobj 82 0 obj<>stream 0 0 0 rg 1 i BT /TT0 12 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 135.75 131.25 Td ( )Tj /TT1 9.75 Tf 0.23489 Tc -0.42239 Tw 0 507 TD (2.3 Aligning sequences)Tj 0 Tc -0.1875 Tw 94.5 0 Td ( )Tj /TT0 9.75 Tf 0.09151 Tc 0.47099 Tw -94.5 -24.75 Td (We use both multiple alignment)Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 129.75 4.5 Td (7)Tj /TT0 9.75 Tf 0.1469 Tc 0.2906 Tw 3.75 -4.5 Td ( and a series of global )Tj -0.0042 Tc -0.1833 Tw 93.75 0 Td (pairwise alignments)Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 78.75 4.5 Td (1)Tj /TT0 9.75 Tf 0.0965 Tc -0.034 Tw 3.75 -4.5 Td ( in Step )Tj 0.1125 Tc 0.02139 Tw -309.75 -12 Td (1. Both methods result in aligning every residue of every sequence in a \ family opp)Tj 0.4391 Tc 0 Tw 331.5 0 Td (o-)Tj 0.1263 Tc 1.04559 Tw -331.5 -12 Td (site only one residue or gap of every other sequence in the same family.\ Pairs of )Tj 0.1293 Tc -0.3168 Tw 0 -12 TD (aligned sequences are used for calculating the final entries i)Tj 0.1756 Tc -0.3632 Tw 237.75 0 Td (n the scoring matr)Tj 0.28951 Tc 0 Tw 72 0 Td (i)Tj 0.40289 Tc 2.25 0 Td (ces.)Tj 0 Tc -0.1875 Tw 15.75 0 Td ( )Tj /TT1 9.75 Tf 0.22301 Tc -0.41051 Tw -327.75 -25.5 Td (2.4 Assigning weights to sequences)Tj 0 Tc -0.1875 Tw 143.25 0 Td ( )Tj /TT0 9.75 Tf 0.15179 Tc 0.4108 Tw -143.25 -24 Td (In a scheme that differs from previous approaches, we assign a weight to\ every s)Tj 0.3371 Tc 0 Tw 332.25 0 Td (e-)Tj 0.1653 Tc 0.4472 Tw -332.25 -12 Td (quence as an inverse of its average sequence identity with all proteins \ of the same )Tj -0.0106 Tc 0.9481 Tw T* (family \(including itself\). We ta)Tj 0.1468 Tc 0.4157 Tw 124.5 0 Td (ke a soft approach \(without thres)Tj 0.375 Tc 0 Tw 135.75 0 Td (h)Tj 0.1456 Tc 0.4169 Tw 5.25 0 Td (olds\) as compared )Tj 0.0799 Tc 1.66119 Tw -265.5 -12 Td (to reference 13. Note that this method reduces the influence of large fa\ milies of )Tj -0.07491 Tc -0.11259 Tw T* (highly similar s)Tj 0.17101 Tc 0 Tw 60 0 Td (e)Tj 0.0826 Tc -0.2701 Tw 4.5 0 Td (quences, and all families contribute according to their size.)Tj 0 Tc -0.1875 Tw 232.5 0 Td ( )Tj /TT1 9.75 Tf 0.30251 Tc -0.49001 Tw -297 -25.5 Td (2.5 Counting mutations)Tj 0 Tc -0.1875 Tw 96.75 0 Td ( )Tj /TT0 9.75 Tf 0.0157 Tc -0.2032 Tw -96.75 -24.75 Td (No matter which stra)Tj 0.19971 Tc -0.38721 Tw 82.5 0 Td (tegy of alignment is used, substitutions are counted as shown in )Tj 0.07651 Tc 0 Tw -82.5 -12 Td (Fig.)Tj 0 Tc -0.1875 Tw 15 0 Td ( )Tj -0.2813 Tc 0 Tw 2.25 0 Td (1.)Tj 0 Tc -0.1875 Tw 6.75 0 Td ( )Tj 0.13651 Tc 0 Tw 2.25 0 Td (Note)Tj 0 Tc -0.1875 Tw 19.5 0 Td ( )Tj 0.2813 Tc 0 Tw 2.25 0 Td (that)Tj 0 Tc -0.1875 Tw 15.75 0 Td ( )Tj 0.375 Tc 0 Tw 2.25 0 Td (no)Tj 0 Tc -0.1875 Tw 10.5 0 Td ( )Tj 0.23441 Tc 0 Tw 2.25 0 Td (counting)Tj 0 Tc -0.1875 Tw 36 0 Td ( )Tj -0.6266 Tc 0 Tw 2.25 0 Td (is)Tj 0 Tc -0.1875 Tw 6.75 0 Td ( )Tj 0.32401 Tc 0 Tw 2.25 0 Td (done)Tj 0 Tc -0.1875 Tw 20.25 0 Td ( )Tj 0.1579 Tc 0 Tw 2.25 0 Td (when)Tj 0 Tc -0.1875 Tw 21.75 0 Td ( )Tj 0.17101 Tc 0 Tw 2.25 0 Td (a)Tj 0 Tc -0.1875 Tw 4.5 0 Td ( )Tj 0.15601 Tc 0 Tw 2.25 0 Td (residue)Tj 0 Tc -0.1875 Tw 29.25 0 Td ( )Tj -0.6266 Tc 0 Tw 2.25 0 Td (is)Tj 0 Tc -0.1875 Tw 6.75 0 Td ( )Tj 0.078 Tc 0 Tw 2.25 0 Td (aligned)Tj 0 Tc -0.1875 Tw 29.25 0 Td ( )Tj 0.2785 Tc -0.466 Tw 2.25 0 Td (to a)Tj 0 Tc -0.1875 Tw 15 0 Td ( )Tj 0.3709 Tc 0 Tw 2.25 0 Td (gap.)Tj 0 Tc -0.1875 Tw 17.25 0 Td ( )Tj 0.0666 Tc 1.0728 Tw -267.75 -12 Td (This algorithm is applied to all families of disordered proteins and the\ overall )Tj 0.11369 Tc -0.55119 Tw -18 -12 Td (substitution count matrix )Tj /TT1 9.75 Tf 0.1282 Tc 0 Tw 102 0 Td (M)Tj /TT0 9.75 Tf 0.0963 Tc -0.2838 Tw 8.25 0 Td ( is calcu)Tj 0.06419 Tc -0.25169 Tw 32.25 0 Td (lated as the sum of all family count m)Tj 0.17101 Tc 0 Tw 147 0 Td (a)Tj 0.17059 Tc 4.5 0 Td (trices.)Tj 0 Tc -0.1875 Tw 24 0 Td ( )Tj -300 -12 Td ( )Tj /TT2 8.25 Tf 0.25591 Tc 0 Tw 72 -13.5 Td (Input:)Tj 0 Tc 0.1875 Tw 24 0 Td ( )Tj /TT0 8.25 Tf 0.0349 Tc 0 Tw 2.25 0 Td (family)Tj 0 Tc 0.1875 Tw 22.5 0 Td ( )Tj /TT1 8.25 Tf -0.0435 Tc 0 Tw 2.25 0 Td (f)Tj 0 Tc 0.1875 Tw 2.25 0 Td ( )Tj /TT0 8.25 Tf 0.3139 Tc 0 Tw 2.25 0 Td (of)Tj 0 Tc 0.1875 Tw 7.5 0 Td ( )Tj /TT1 8.25 Tf 0.375 Tc 0 Tw 2.25 0 Td (n)Tj 0 Tc 0.1875 Tw 4.5 0 Td ( )Tj /TT0 8.25 Tf 0.06599 Tc 0 Tw 2.25 0 Td (aligned)Tj 0 Tc 0.1875 Tw 24 0 Td ( )Tj 0.3336 Tc 0 Tw 2.25 0 Td (proteins)Tj 0 Tc 0.1875 Tw 28.5 0 Td ( )Tj /TT1 8.25 Tf -0.2092 Tc 0 Tw 2.25 0 Td (s)Tj /TT0 5.25 Tf 0.375 Tc 3 -0.75 Td (1)Tj /TT0 8.25 Tf 0.1875 Tc 3 0.75 Td (,)Tj 0 Tc 0.1875 Tw 2.25 0 Td ( )Tj /TT1 8.25 Tf -0.2092 Tc 0 Tw 1.5 0 Td (s)Tj /TT0 5.25 Tf 0.375 Tc 2.25 -0.75 Td (2)Tj /TT0 8.25 Tf 0.1875 Tc 2.25 0.75 Td (,)Tj /TT3 8.25 Tf 0 Tc 1.5 0 Td (\274)Tj /TT0 8.25 Tf 0.1875 Tw 8.25 0 Td ( )Tj /TT1 8.25 Tf -0.2092 Tc 0 Tw 1.5 0 Td (s)Tj /TT1 5.25 Tf 0.375 Tc 2.25 -0.75 Td (n)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 2.25 0.75 Td ( )Tj ET q 387 366 3.75 10.5 re h W n BT /TT0 8.25 Tf 387 368.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 0.07159 Tc 0.0659 Tw 225.75 356.25 Td ( with corresponding weights )Tj /TT1 8.25 Tf -0.2527 Tc 0 Tw 123 0 Td (w)Tj /TT0 5.25 Tf 0.375 Tc 5.25 -0.75 Td (1)Tj /TT0 8.25 Tf -0.5625 Tc 3 0.75 Td (, )Tj /TT1 8.25 Tf -0.2527 Tc 3 0 Td (w)Tj /TT0 5.25 Tf 0.375 Tc 4.5 -0.75 Td (2)Tj /TT0 8.25 Tf -0.5625 Tc 2.25 0.75 Td (, )Tj /TT3 8.25 Tf 0 Tc 3 0 Td (\274)Tj /TT1 8.25 Tf -0.2527 Tc 8.25 0 Td (w)Tj /TT1 5.25 Tf 0.375 Tc 4.5 -0.75 Td (n)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 2.25 0.75 Td ( )Tj ET 0 0.502 0 rg 220.5 378 170.25 1.5 re f 0 0 0 rg BT /TT2 8.25 Tf 0.4398 Tc 0 Tw 225.75 344.25 Td (Output:)Tj /TT0 8.25 Tf 0.22569 Tc -0.03819 Tw 31.5 0 Td ( family count matrix )Tj /TT1 8.25 Tf -0.1223 Tc 0 Tw 74.25 0 Td (M)Tj /TT1 5.25 Tf 0.0405 Tc 6.75 -0.75 Td (f)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 1.5 0.75 Td ( )Tj /TT1 8.25 Tf -0.1223 Tc 0 Tw -114 -13.5 Td (M)Tj /TT1 5.25 Tf 0.0405 Tc 6.75 -0.75 Td (f)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 1.5 0.75 Td ( )Tj /TT3 8.25 Tf 0.10719 Tc 0 Tw 2.25 0 Td (\254)Tj /TT0 8.25 Tf 0.375 Tc -0.1875 Tw 8.25 0 Td ( 20)Tj 0 Tc 0.1875 Tw 11.25 0 Td ( )Tj /TT3 8.25 Tf -0.0293 Tc 0 Tw 2.25 0 Td (\264)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 4.5 0 Td ( )Tj 0.2093 Tc -0.0218 Tw 2.25 0 Td (20 zero matrix)Tj 0 Tc 0.1875 Tw 51.75 0 Td ( )Tj /TT2 8.25 Tf 0.2383 Tc 0 Tw -90.75 -14.25 Td (for)Tj /TT0 8.25 Tf 0.1015 Tc -0.064 Tw 11.25 0 Td ( every pair of sequences )Tj /TT1 8.25 Tf -0.2092 Tc 0 Tw 84.75 0 Td (s)Tj /TT1 5.25 Tf 0.0405 Tc 3 -0.75 Td (i)Tj /TT0 8.25 Tf 0.1875 Tc 1.5 0.75 Td (, )Tj /TT1 8.25 Tf -0.2092 Tc 4.5 0 Td (s)Tj /TT1 5.25 Tf 0.0405 Tc 3 -0.75 Td (j)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 1.5 0.75 Td ( )Tj /TT4 8.25 Tf 0.3 Tw -109.5 -12 Td ( )Tj /TT2 8.25 Tf 0.2383 Tc 0 Tw 10.5 0 Td (for)Tj /TT0 8.25 Tf 0.2354 Tc -0.0479 Tw 11.25 0 Td ( every)Tj 0.0087 Tc -0.1212 Tw 21.75 0 Td ( two superimposed amino acids )Tj /TT1 8.25 Tf 0.08701 Tc 0 Tw 106.5 0 Td (x)Tj /TT0 8.25 Tf -0.5625 Tc 3 0 Td (, )Tj /TT1 8.25 Tf 0.08701 Tc 3 0 Td (y)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 3 0 Td ( )Tj /TT4 8.25 Tf 0.3 Tw -159 -12 Td ( )Tj /TT1 8.25 Tf -0.1223 Tc 0 Tw 21 0 Td (M)Tj /TT1 5.25 Tf 0.0405 Tc 6.75 -0.75 Td (f)Tj /TT0 8.25 Tf 0.2527 Tc -0.0652 Tw 1.5 0.75 Td ( \()Tj /TT1 8.25 Tf 0.08701 Tc 0 Tw 5.25 0 Td (x)Tj /TT0 8.25 Tf 0.1875 Tc 3.75 0 Td (, )Tj /TT1 8.25 Tf 0.08701 Tc 4.5 0 Td (y)Tj /TT0 8.25 Tf 0.2527 Tc -0.0652 Tw 3.75 0 Td (\) )Tj /TT3 8.25 Tf 0.10719 Tc 0 Tw 5.25 0 Td (\254)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 8.25 0 Td ( )Tj /TT1 8.25 Tf -0.1223 Tc 0 Tw 2.25 0 Td (M)Tj /TT1 5.25 Tf 0.0405 Tc 6.75 -0.75 Td (f)Tj /TT0 8.25 Tf 0.2527 Tc -0.0652 Tw 1.5 0.75 Td ( \()Tj /TT1 8.25 Tf 0.08701 Tc 0 Tw 5.25 0 Td (x)Tj /TT0 8.25 Tf 0.1875 Tc 3.75 0 Td (, )Tj /TT1 8.25 Tf 0.08701 Tc 4.5 0 Td (y)Tj /TT0 8.25 Tf 0.0499 Tc 0.1376 Tw 3.75 0 Td (\) + )Tj /TT1 8.25 Tf -0.2527 Tc 0 Tw 12 0 Td (w)Tj /TT1 5.25 Tf 0.0405 Tc 5.25 -0.75 Td (i)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 1.5 0.75 Td ( )Tj /TT3 8.25 Tf 0.1875 Tc 0 Tw 2.25 0 Td (\327)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 2.25 0 Td ( )Tj /TT1 8.25 Tf -0.2527 Tc 0 Tw 2.25 0 Td (w)Tj /TT1 5.25 Tf 0.0405 Tc 5.25 -0.75 Td (j)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 1.5 0.75 Td ( )Tj ET 0 0.502 0 rg 220.5 288.75 170.25 1.5 re f 0 0 0 rg BT /TT0 8.25 Tf 0.0027 Tc 0.1848 Tw 234 276 Td (Figure 1. )Tj /TT1 8.25 Tf 0.17101 Tc 0.01649 Tw 32.25 0 Td (Calculating family count matrix)Tj /TT1 9.75 Tf 0 Tc -0.1875 Tw 111 0 Td ( )Tj 0.21831 Tc -0.40581 Tw -241.5 -25.5 Td (2.6 Constructing the scoring matrix)Tj 0 Tc -0.1875 Tw 145.5 0 Td ( )Tj /TT0 9.75 Tf 0.0428 Tc 0 Tw -145.5 -24.75 Td (T)Tj 0.0424 Tc -0.3549 Tw 6 0 Td (he elements of the scoring matrix )Tj /TT1 9.75 Tf 0.375 Tc 0 Tw 132.75 0 Td (S)Tj /TT0 9.75 Tf 0.0392 Tc -0.33389 Tw 5.25 0 Td ( are calculated for each count matrix )Tj /TT1 9.75 Tf 0.1282 Tc 0 Tw 144.75 0 Td (M)Tj /TT0 9.75 Tf 0.0938 Tc -0.2813 Tw 8.25 0 Td (, in the )Tj -0.0331 Tc -0.1544 Tw -297 -12 Td (following way. The jo)Tj -0.0648 Tc -0.3727 Tw 86.25 0 Td (int probability matrix )Tj /TT1 9.75 Tf -0.28951 Tc 0 Tw 84 0 Td (Q)Tj /TT0 9.75 Tf 0.20151 Tc -0.38901 Tw 6.75 0 Td ( that residue )Tj /TT1 9.75 Tf 0.28951 Tc 0 Tw 51.75 0 Td (i)Tj /TT0 9.75 Tf -0.0681 Tc -0.1194 Tw 3 0 Td ( will be aligned o)Tj 0.375 Tc 0 Tw 66.75 0 Td (p)Tj 0.2429 Tc -0.4304 Tw 5.25 0 Td (posite )Tj 0.15601 Tc -0.34351 Tw -303.75 -12 Td (residue )Tj /TT1 9.75 Tf 0.28951 Tc 0 Tw 31.5 0 Td (j)Tj /TT0 9.75 Tf 0.0533 Tc 0.0092 Tw 2.25 0 Td ( \(for every )Tj /TT1 9.75 Tf 0.28951 Tc 0 Tw 43.5 0 Td (i)Tj /TT0 9.75 Tf 0.30701 Tc -0.11951 Tw 3 0 Td ( and )Tj /TT1 9.75 Tf 0.28951 Tc 0 Tw 19.5 0 Td (j)Tj /TT0 9.75 Tf 0.10921 Tc -0.29671 Tw 2.25 0 Td (\) is co)Tj -0.08549 Tc 0 Tw 24 0 Td (m)Tj 0.2448 Tc -0.4323 Tw 6.75 0 Td (puted as)Tj 0 Tc -0.1875 Tw 34.5 0 Td ( )Tj ET 0 0 0 RG 0.75 w 10 M 1 j 1 J []0 d 294 181.5 m 345.75 181.5 l S BT /TT3 17.90221 Tf -0.0143 Tc 0 Tw 300.75 166.5 Td (\345)Tj 14.25 0 Td (\345)Tj /TT3 11.9348 Tf 0.1978 Tc -2.25 19.5 Td (+)Tj -28.5 -7.5 Td (=)Tj /TT1 6.96201 Tf 0.31461 Tc 21.75 -21 Td (i)Tj 15 0 Td (j)Tj 18 8.25 Td (ij)Tj -0.1208 Tc -4.5 25.5 Td (T)Tj /TT1 11.9348 Tf -0.3669 Tc -4.5 -22.5 Td (m)Tj -0.1917 Tc -8.25 17.25 Td (M)Tj -23.25 0 Td (M)Tj -0.3669 Tc -26.25 -7.5 Td (Q)Tj /TT0 11.9348 Tf 0.03259 Tc 22.5 -9.75 Td (2)Tj /TT0 9.75 Tf -0.26401 Tc 0.07651 Tw 53.25 9.75 Td (, \(2\))Tj 0 Tc -0.1875 Tw 127.5 0 Td ( )Tj ET q /GS0 gs /Fm0 Do Q endstream endobj 83 0 obj 137 endobj 84 0 obj<>/ProcSet[/PDF/Text]>>/Subtype/Form/FormType 1/Matrix[1.0 0.0 0.0 1.0 0.0 0.0]/PieceInfo<>>>stream 0 g 0 i BT /TT0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 8 0 0 8 208.40401 748 Tm (Pacific Symposium on Biocomputing 7:589-600 \(2002\) )Tj ET endstream endobj 85 0 obj<> endobj 86 0 obj 9807 endobj 87 0 obj<>stream 0 0 0 rg 1 i BT /TT0 12 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 135.75 131.25 Td ( )Tj /TT0 9.75 Tf 0.03619 Tc -0.22369 Tw 0 506.25 TD (where )Tj /TT1 9.75 Tf -0.28951 Tc 0 Tw 27.75 0 Td (m)Tj /TT1 6.75 Tf 0.3735 Tc 6.75 -1.5 Td (ij)Tj /TT0 9.75 Tf -0.0739 Tc 0.5114 Tw 4.5 1.5 Td ( is an element of matrix )Tj /TT1 9.75 Tf 0.1282 Tc 0 Tw 97.5 0 Td (M)Tj /TT0 9.75 Tf 0.0957 Tc 0.16679 Tw 8.25 0 Td (. Adding a transpose matrix )Tj /TT1 9.75 Tf 0.1282 Tc 0 Tw 115.5 0 Td (M)Tj /TT1 6.75 Tf -0.00301 Tc 8.25 4.5 Td (T)Tj /TT0 9.75 Tf 0.92101 Tc -0.35851 Tw 3.75 -4.5 Td ( a)Tj 0.375 Tc 0.1875 Tw 7.5 0 Td (nd d)Tj 0.28951 Tc 0 Tw 18.75 0 Td (i)Tj 0.16611 Tc 0.39639 Tw 2.25 0 Td (viding by )Tj 0.1413 Tc 0.0997 Tw -300.75 -12 Td (two annuls any effects from the counting order. The double sum in the de\ nominator )Tj 0.01849 Tc 0.29401 Tw 0 -12 TD (normalizes entries of )Tj /TT1 9.75 Tf -0.28951 Tc 0 Tw 86.25 0 Td (Q)Tj /TT0 9.75 Tf 0.1066 Tc 0.3726 Tw 6.75 0 Td ( to sum to one. From the elements of )Tj /TT1 9.75 Tf -0.28951 Tc 0 Tw 153.75 0 Td (Q)Tj /TT0 9.75 Tf 0.1008 Tc -0.2883 Tw 6.75 0 Td ( the conditional pro)Tj 0.4391 Tc 0 Tw 78 0 Td (b-)Tj 0.16431 Tc 0.39819 Tw -331.5 -12 Td (abilities of substitutions )Tj /TT1 9.75 Tf 0.375 Tc 0 Tw 101.25 0 Td (p)Tj /TT0 9.75 Tf -0.2467 Tc 5.25 0 Td (\()Tj /TT1 9.75 Tf 0.04919 Tc -0.23669 Tw 3 0 Td (i | j)Tj /TT0 9.75 Tf 0.0688 Tc -0.2563 Tw 12.75 0 Td (\) are calculated, yielding the elements of )Tj 0.26221 Tc -0.07471 Tw 162 0 Td (a substitution )Tj -0.0882 Tc 0.2757 Tw -284.25 -12 Td (probability matrix )Tj /TT1 9.75 Tf 0.0428 Tc 0 Tw 74.25 0 Td (P)Tj /TT0 9.75 Tf 0.1156 Tc 0.58321 Tw 6 0 Td (. In order to adjust the ensuing scoring matrix for longer evol)Tj 0.4391 Tc 0 Tw 251.25 0 Td (u-)Tj -0.0161 Tc 0.7036 Tw -331.5 -12 Td (tionary times we can transform matrix )Tj /TT1 9.75 Tf 0.0428 Tc 0 Tw 156.75 0 Td (P)Tj /TT0 9.75 Tf 0.11681 Tc 0.44569 Tw 6 0 Td ( before evalua)Tj 0.28951 Tc 0 Tw 57.75 0 Td (t)Tj 0.0546 Tc 0.5079 Tw 3 0 Td (ing expression \(1\). Modeling )Tj 0.10229 Tc 0.46021 Tw -223.5 -12 Td (the evolution by a discrete time)Tj -0.2467 Tc 0 Tw 129 0 Td (-)Tj 0.13029 Tc 0.2822 Tw 3 0 Td (invariant Markov process with the unknown)Tj 0.2592 Tc -0.4467 Tw 180 0 Td ( trans)Tj -0.35361 Tc 0 Tw 22.5 0 Td (i-)Tj -0.1651 Tc -0.0224 Tw -334.5 -12 Td (tion matrix, )Tj /TT1 9.75 Tf 0.0428 Tc 0 Tw 45.75 0 Td (P)Tj /TT0 9.75 Tf 0.0956 Tc -0.1331 Tw 6 0 Td ( can be modified as )Tj 0 Tc -0.1875 Tw 78.75 0 Td ( )Tj /TT1 9.75 Tf 0.0428 Tc 0 Tw 38.25 -17.25 Td (P)Tj /TT0 9.75 Tf -0.24899 Tc 0.06149 Tw 6 0 Td ( = )Tj /TT1 9.75 Tf 0.0428 Tc 0 Tw 9.75 0 Td (P)Tj /TT1 6.75 Tf 0 Tc -0.1875 Tw 6 0 Td ( )Tj /TT2 6.75 Tf 0.2408 Tc 0 Tw 1.5 4.5 Td (a)Tj /TT0 9.75 Tf -0.26401 Tc 0.07651 Tw 4.5 -4.5 Td (, \(3\))Tj 0 Tc -0.1875 Tw 143.25 0 Td ( )Tj 0.03619 Tc -0.22369 Tw -339.75 -12.75 Td (where )Tj /TT2 9.75 Tf -0.1523 Tc 0 Tw 27 0 Td (a)Tj /TT0 9.75 Tf 0 Tc -0.1875 Tw 6 0 Td ( )Tj /TT2 9.75 Tf -0.2018 Tc 0 Tw 2.25 0 Td (\316)Tj /TT0 9.75 Tf 0 Tc -0.1875 Tw 6.75 0 Td ( )Tj -0.2697 Tc 0.08231 Tw 2.25 0 Td (\(1, )Tj /TT2 9.75 Tf -0.2018 Tc 0 Tw 12.75 0 Td (\245)Tj /TT0 9.75 Tf 0.0715 Tc 0.3839 Tw 6.75 0 Td (\). This generalizes the idea of Dayhoff )Tj /TT1 9.75 Tf 0.2303 Tc 0 Tw 159 0 Td (et)Tj /TT0 9.75 Tf 0 Tc -0.1875 Tw 7.5 0 Td ( )Tj /TT1 9.75 Tf 0.3322 Tc 0 Tw 3 0 Td (al)Tj /TT0 9.75 Tf -0.1875 Tc 8.25 0 Td (.)Tj /TT0 6.75 Tf 0.2625 Tc 0.3 Tw 2.25 4.5 Td (11, 12)Tj /TT0 9.75 Tf 0.1279 Tc -0.1279 Tw 18.75 -4.5 Td ( that models longer )Tj 0.0788 Tc 1.2337 Tw -262.5 -12 Td (evolutionary times by extrap)Tj 0.375 Tc 0 Tw 117.75 0 Td (o)Tj 0.0799 Tc 0.6701 Tw 5.25 0 Td (lating from proteins with sh)Tj 0.11909 Tc 0.19341 Tw 113.25 0 Td (orter distances. However, )Tj -0.1524 Tc 0.3399 Tw -236.25 -12 Td (the matrix )Tj /TT1 9.75 Tf 0.0428 Tc 0 Tw 43.5 0 Td (P)Tj /TT0 9.75 Tf 0.1127 Tc 0.7226 Tw 6 0 Td ( is already developed using the available spectrum of divergence from )Tj 0.1799 Tc 0.7576 Tw -49.5 -12 Td (the available data, thus r)Tj 0.17101 Tc 0 Tw 102 0 Td (e)Tj 0.1022 Tc 0.3353 Tw 4.5 0 Td (flecting moderate evolutionary distances. Naturally, since )Tj 0.2393 Tc 0.0732 Tw -106.5 -12 Td (the assumptions about underlying Markov processes do not hold )Tj 0.0551 Tc -0.2426 Tw 268.5 0 Td (strictly, the model )Tj 0.21001 Tc -0.21001 Tw -268.5 -12 Td (becomes less accurate as )Tj /TT2 9.75 Tf -0.1523 Tc 0 Tw 102.75 0 Td (a)Tj /TT0 9.75 Tf 0.23289 Tc -0.42039 Tw 6 0 Td ( increases.)Tj 0 Tc -0.1875 Tw 42 0 Td ( )Tj 0.1369 Tc 0.4256 Tw -133.5 -12 Td (Even with all amino acid exchanges observed in the database, there is no\ gua)Tj -0.2467 Tc 0 Tw 316.5 0 Td (r-)Tj 0.2558 Tc 0.6817 Tw -333.75 -12 Td (antee that )Tj /TT1 9.75 Tf 0.0428 Tc 0 Tw 45 0 Td (P)Tj /TT0 9.75 Tf 0.0701 Tc 0.8138 Tw 6 0 Td ( is positive definite. As a result, in order for expression \(3\) to be \ well)Tj -0.2467 Tc 0 Tw 285.75 0 Td (-)Tj 0.375 Tc -336.75 -12 Td (d)Tj 0.17101 Tc 5.25 0 Td (e)Tj 0.14729 Tc 1.16521 Tw 4.5 0 Td (fined, a test for all positive e)Tj 0.0881 Tc 1.0744 Tw 121.5 0 Td (igenvalues is performed before raising )Tj /TT1 9.75 Tf 0.0428 Tc 0 Tw 162 0 Td (P)Tj /TT0 9.75 Tf 0.3268 Tc 0.2357 Tw 6 0 Td ( to a non)Tj -0.2467 Tc 0 Tw 37.5 0 Td (-)Tj 0.1459 Tc -0.1459 Tw -336.75 -12 Td (integer power. Failing the test, although such never occurred, would can\ cel the po)Tj -0.2681 Tc 0 Tw 330 0 Td (w-)Tj 0.0359 Tc -0.07339 Tw -330 -12 Td (ering step. Finally, all entries )Tj /TT1 9.75 Tf -0.0428 Tc 0 Tw 116.25 0 Td (s)Tj /TT1 6.75 Tf 0.3735 Tc 3.75 -1.5 Td (ij)Tj /TT0 9.75 Tf 0.01891 Tc -0.20641 Tw 4.5 1.5 Td ( of a scoring matrix are calculated as)Tj 0 Tc -0.1875 Tw 143.25 0 Td ( )Tj ET 0 0 0 RG 0.75 w 10 M 1 j 1 J []0 d 335.25 387 m 371.25 387 l S BT /TT0 10 Tf -0.33 Tc 0 Tw 372 384 Td (\))Tj -4.5 -7.5 Td (\))Tj -9 0 Td (\()Tj -9.75 0 Td (\))Tj -6.75 0 Td (\()Tj 21 14.25 Td (\))Tj -0.25 Tc -9.75 0 Td (,)Tj -0.33 Tc -6 0 Td (\()Tj -0.00999 Tc -33 -6.75 Td (log)Tj -0.33 Tc -15 0 Td (\()Tj 0.134 Tc -24 0 Td (round)Tj /TT0 6 Tf 0 Tc 53.25 -2.25 Td (2)Tj /TT1 10 Tf 0.22 Tc 36 -5.25 Td (j)Tj 0.25 Tc -11.25 0 Td (p)Tj 0.22 Tc -7.5 0 Td (i)Tj 0.25 Tc -9 0 Td (p)Tj 0.22 Tc 22.5 14.25 Td (j)Tj -9 0 Td (i)Tj 0.25 Tc -8.25 0 Td (p)Tj 0.08 Tc -39.75 -6.75 Td (C)Tj -0.14 Tc -46.5 0 Td (s)Tj /TT1 6 Tf -0.168 Tc 4.5 -2.25 Td (ij)Tj /TT2 10 Tf -0.25 Tc 51 2.25 Td (\327)Tj -0.24001 Tc -43.5 0 Td (=)Tj /TT0 9.75 Tf -0.1875 Tc 109.5 0 Td (, )Tj -0.28951 Tc 0.10201 Tw 56.25 0 Td ( \(4\))Tj 0 Tc -0.1875 Tw 42 0 Td ( )Tj 1.1244 Tw -339.75 -22.5 Td (where we multiply by )Tj /TT1 9.75 Tf 0.2468 Tc 0 Tw 92.25 0 Td (C)Tj /TT0 9.75 Tf 0 Tc -0.1875 Tw 6.75 0 Td ( )Tj -0.24899 Tc 0 Tw 2.25 0 Td (=)Tj 0 Tc -0.1875 Tw 5.25 0 Td ( )Tj 0.1633 Tc 0.33099 Tw 2.25 0 Td (2 before rounding to the nearest integer in order to have )Tj /TT1 9.75 Tf -0.0428 Tc 0 Tw -108.75 -12 Td (s)Tj /TT1 6.75 Tf 0.3735 Tc 3.75 -1.5 Td (ij)Tj /TT0 9.75 Tf 0.09441 Tc 0.3181 Tw 4.5 1.5 Td ( entries in half bit units. Multiplying by two increases the resolution \ of the matrix )Tj 0.1096 Tc 0.90289 Tw -8.25 -12 Td (elements before rounding, which is pe)Tj -0.2467 Tc 0 Tw 157.5 0 Td (r)Tj 0.12309 Tc 0.43941 Tw 3 0 Td (formed for the convenience o)Tj 0.1384 Tc 0.1741 Tw 120 0 Td (f using integer )Tj 0.05321 Tc 0.9593 Tw -280.5 -12 Td (arithmetic during the course of alig)Tj 0.375 Tc 0 Tw 144.75 0 Td (n)Tj 0.20979 Tc 0.35271 Tw 5.25 0 Td (ment. We use the same gap penalty system as )Tj -0.03951 Tc -0.14799 Tw -150 -12 Td (for )Tj /TT0 8.25 Tf -0.1046 Tc 0 Tw 13.5 0 Td (BLOSUM)Tj /TT0 9.75 Tf -0.375 Tc 33.75 0 Td (62)Tj 0.1882 Tc -0.42931 Tw 9 0 Td (. Once chosen at the start, the gap penalties are not changed during the\ )Tj -0.2316 Tc 0 Tw -56.25 -12 Td (refin)Tj 0.17101 Tc 18 0 Td (e)Tj -0.17329 Tc -0.26421 Tw 4.5 0 Td (ment of matrix )Tj /TT1 9.75 Tf 0.375 Tc 0 Tw 57.75 0 Td (S)Tj /TT0 9.75 Tf 0.14481 Tc -0.33231 Tw 5.25 0 Td (, making the construction process far less expensive)Tj -0.1875 Tc 0 Tw 207.75 0 Td (. )Tj 0 Tc -0.1875 Tw 6.75 0 Td ( )Tj -300 -12 Td ( )Tj /TT1 9.75 Tf 0.2198 Tc -0.4073 Tw T* (2.7 Evaluating the matrices)Tj 0 Tc -0.1875 Tw 112.5 0 Td ( )Tj -112.5 -12 Td ( )Tj /TT0 9.75 Tf 0.0197 Tc 0.9178 Tw T* (Scoring matrices were evaluated by building family)Tj -0.2467 Tc 0 Tw 209.25 0 Td (-)Tj 0.10921 Tc 0.45329 Tw 3 0 Td (specific hi)Tj 0.375 Tc 0 Tw 41.25 0 Td (d)Tj 0.1256 Tc 0.4369 Tw 5.25 0 Td (den Markov models )Tj 0.071 Tc 0.9915 Tw -258.75 -12 Td (\(HMMs\) from a set of aligned training proteins as described in Fig. 2.\ Test family )Tj 0.1227 Tc 0.1398 Tw T* (proteins as well as a number of unrelated proteins were al)Tj 0.23511 Tc -0.42261 Tw 232.5 0 Td (igned to the HMM and the )Tj 0.0845 Tc -0.272 Tw -232.5 -12 Td (resulting discriminatory capabilities were measured as indicated.)Tj 0 Tc -0.1875 Tw 255.75 0 Td ( )Tj 0.15891 Tc -0.02499 Tw -237.75 -12 Td (Briefly, this testing procedure consists of two steps. In the first step\ all proteins )Tj 0.0788 Tc 1.2337 Tw -18 -12 Td (from the test families and non)Tj -0.2467 Tc 0 Tw 125.25 0 Td (-)Tj 0.14101 Tc 0.42149 Tw 3 0 Td (family set are assigned a score for each scoring)Tj 0.66451 Tc -0.10201 Tw 194.25 0 Td ( m)Tj 0.3371 Tc 0 Tw 9.75 0 Td (a-)Tj 0.10049 Tc 1.96201 Tw -332.25 -12 Td (trix. Reliable performance assessment is achieved by applying a cross)Tj -0.2467 Tc 0 Tw 297 0 Td (-)Tj 0.075 Tc 0.4875 Tw 3 0 Td (validation )Tj 0.104 Tc 1.2085 Tw -300 -12 Td (procedure that also emulates real situations where only a small number o\ f known )Tj 0.4715 Tc 0 Tw T* (hom)Tj 0.375 Tc 17.25 0 Td (o)Tj 0.0388 Tc 1.48801 Tw 5.25 0 Td (logues are available. Random division \(line two in Fig. 2\) was the sam\ e for )Tj ET q /GS0 gs /Fm0 Do Q endstream endobj 88 0 obj 137 endobj 89 0 obj<>/ProcSet[/PDF/Text]>>/Subtype/Form/FormType 1/Matrix[1.0 0.0 0.0 1.0 0.0 0.0]/PieceInfo<>>>stream 0 g 0 i BT /TT0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 8 0 0 8 208.40401 748 Tm (Pacific Symposium on Biocomputing 7:589-600 \(2002\) )Tj ET endstream endobj 90 0 obj<> endobj 91 0 obj 10967 endobj 92 0 obj<>stream 0 0 0 rg 1 i BT /TT0 12 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 135.75 131.25 Td ( )Tj /TT0 9.75 Tf -0.2052 Tc 2.2677 Tw 0 506.25 TD (each matrix.)Tj 0.0778 Tc 1.8181 Tw 48.75 0 Td ( In order to build a model we used ClustalW)Tj /TT0 6.75 Tf 0 Tc -0.1875 Tw 193.5 4.5 Td ( )Tj 0.375 Tc 0 Tw 1.5 0 Td (7)Tj /TT0 9.75 Tf 0.02769 Tc 1.28481 Tw 3.75 -4.5 Td ( for multiple s)Tj 0.17101 Tc 0 Tw 58.5 0 Td (e)Tj 0.27299 Tc -0.46049 Tw 4.5 0 Td (quence )Tj 0.0461 Tc 1.5164 Tw -310.5 -12 Td (alignment and the HMMER)Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 114.75 4.5 Td (10)Tj /TT0 9.75 Tf 0.06371 Tc 1.24879 Tw 7.5 -4.5 Td ( software for profile HMMs)Tj -0.1875 Tc 0 Tw 115.5 0 Td (. )Tj 0.1297 Tc 0.8828 Tw 6 0 Td (Aligning a protein to a )Tj 0.4071 Tc 0.9054 Tw -243.75 -12 Td (HMM r)Tj 0.17101 Tc 0 Tw 31.5 0 Td (e)Tj 0.2706 Tc 0.6669 Tw 4.5 0 Td (sults in a score and an E)Tj -0.2467 Tc 0 Tw 103.5 0 Td (-)Tj 0.1306 Tc 0.4319 Tw 3 0 Td (value. While the score reflects the log)Tj -0.2467 Tc 0 Tw 155.25 0 Td (-)Tj -0.0546 Tc 0.6171 Tw 3 0 Td (likelihood )Tj 0.2673 Tc 0.2952 Tw -300.75 -12 Td (that the query sequence is g)Tj 0.2028 Tc -0.2403 Tw 117 0 Td (enerated by a HMM the E)Tj -0.2467 Tc 0 Tw 104.25 0 Td (-)Tj 0.1584 Tc -0.3459 Tw 3 0 Td (value is an estimate of stati)Tj 0.60519 Tc 0 Tw 108 0 Td (s-)Tj 0 Tc 1.3125 Tw -332.25 -12 Td (tical signif)Tj 0.28951 Tc 0 Tw 42.75 0 Td (i)Tj 0.14771 Tc 0.5219 Tw 2.25 0 Td (cance of the match. Overall, the best model is the one that provides the\ )Tj 0.1234 Tc 1.6891 Tw -45 -12 Td (smallest overlap between two distributions of scores \(family and non)Tj -0.2467 Tc 0 Tw 292.5 0 Td (-)Tj -0.0724 Tc 1.3849 Tw 3 0 Td (family pr)Tj 0.4391 Tc 0 Tw 36 0 Td (o-)Tj 0.1002 Tc 1.7123 Tw -331.5 -12 Td (teins\). However, in a situation when )Tj 0.1774 Tc 1.1351 Tw 159 0 Td (rigid statistical tests are not concl)Tj 0.375 Tc 0 Tw 141.75 0 Td (u)Tj 0.0695 Tc 0.493 Tw 5.25 0 Td (sive, we )Tj 0.18201 Tc 0.38049 Tw -306 -12 Td (compared the Z)Tj -0.2467 Tc 0 Tw 63.75 0 Td (-)Tj 0.09669 Tc 0.46581 Tw 3 0 Td (scores generated by different mo)Tj 0.375 Tc 0 Tw 134.25 0 Td (d)Tj 0.1274 Tc 0.328 Tw 5.25 0 Td (els. The greater the value of a Z)Tj -0.2467 Tc 0 Tw 130.5 0 Td (-)Tj 0.1516 Tc -0.3891 Tw -336.75 -12 Td (score the lesser the probability that a query protein is one of the unre\ lated sequences. )Tj 0.0383 Tc 0.5242 Tw 0 -12 TD (The model that best discriminates fami)Tj 0.00951 Tc 0.55299 Tw 156.75 0 Td (ly from non)Tj -0.2467 Tc 0 Tw 47.25 0 Td (-)Tj -0.1071 Tc 0.6696 Tw 3 0 Td (family s)Tj 0.17101 Tc 0 Tw 31.5 0 Td (e)Tj 0.2244 Tc 0.1881 Tw 4.5 0 Td (quences is the one with )Tj 0.51559 Tc 1.54691 Tw -243 -12 Td (highest Z)Tj -0.2467 Tc 0 Tw 40.5 0 Td (-)Tj 0.1953 Tc 1.65289 Tw 3 0 Td (scores. Consequently, in the second step, all length)Tj -0.2467 Tc 0 Tw 220.5 0 Td (-)Tj 0.0481 Tc 0.8894 Tw 3 0 Td (normalized scores )Tj 0.1797 Tc 0.5078 Tw -267 -12 Td (from step one are converted into Z)Tj -0.2467 Tc 0 Tw 143.25 0 Td (-)Tj 0.0701 Tc 0.4924 Tw 3 0 Td (scores, and the maximum score for each protein )Tj 0.0862 Tc 1.0387 Tw -146.25 -12 Td (is found over all matr)Tj 0.28951 Tc 0 Tw 89.25 0 Td (i)Tj 0.12801 Tc 0.43449 Tw 2.25 0 Td (ces. Then, a cumulative s)Tj 0.0365 Tc 0.526 Tw 103.5 0 Td (core is calculated for each matrix as )Tj 0.1584 Tc 0.6541 Tw -195 -12 Td (indicated in Fig. 2. Note that this score depends on the set of matrices\ being co)Tj -0.91611 Tc 0 Tw 330 0 Td (m-)Tj 0.1366 Tc 1.5168 Tw -330 -12 Td (pared; however it preserves numeric differences and hence the relative o\ rder b)Tj 0.3371 Tc 0 Tw 332.25 0 Td (e-)Tj 0.1869 Tc 0.7923 Tw -332.25 -12 Td (tween any two models. Note also that our testing procedur)Tj 0.08099 Tc 0.48151 Tw 244.5 0 Td (e is not optimal for di)Tj 0.60519 Tc 0 Tw 87.75 0 Td (s-)Tj 0.0762 Tc 0.8613 Tw -332.25 -12 Td (crimination purposes. As probabilistic models and local optimizers, hi)Tj 0.375 Tc 0 Tw 285 0 Td (d)Tj 0.1725 Tc 0.39 Tw 5.25 0 Td (den Markov )Tj 0.1176 Tc 1.2782 Tw -290.25 -12 Td (models can only approximate dependencies in protein sequences. Still, su\ )Tj 0.17101 Tc 0 Tw 306.75 0 Td (c)Tj 0.20351 Tc -0.39101 Tw 4.5 0 Td (cessful )Tj 0.17841 Tc -0.36591 Tw -311.25 -12 Td (application of HMMs to protein representation just)Tj 0.28951 Tc 0 Tw 204.75 0 Td (i)Tj 0.105 Tc -0.2925 Tw 2.25 0 Td (fies their use.)Tj 0 Tc -0.1875 Tw 53.25 0 Td ( )Tj /TT0 8.25 Tf 0.1875 Tw -243 -12 Td ( )Tj /TT1 8.25 Tf 0.2527 Tc 0 Tw 23.25 -13.5 Td (f)Tj 0.231 Tc -0.0435 Tw 3 0 Td (or )Tj /TT0 8.25 Tf 0.1651 Tc 0.0224 Tw 10.5 0 Td (each scoring matrix )Tj /TT2 8.25 Tf 0.375 Tc 0 Tw 70.5 0 Td (S)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 4.5 0 Td ( )Tj /TT3 8.25 Tf 0.1178 Tc 0 Tw 2.25 0 Td (\316)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 6 0 Td ( )Tj /TT4 8.25 Tf -0.08701 Tc 0 Tw 2.25 0 Td (S)Tj /TT0 8.25 Tf 0.1245 Tc 0.063 Tw 4.5 0 Td (, corresponding gap penalties, and family )Tj /TT2 8.25 Tf -0.0435 Tc 0 Tw 144 0 Td (f)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 1.5 0 Td ( )Tj /TT3 8.25 Tf 0.1178 Tc 0 Tw 1.5 0 Td (\316)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 5.25 0 Td ( )Tj /TT4 8.25 Tf 0.2527 Tc 0 Tw 1.5 0 Td (f)Tj /TT1 8.25 Tf 0 Tc 0.1875 Tw 1.5 0 Td ( )Tj ET 0 0.502 0 rg 171 405.75 269.25 1.5 re f 0 0 0 rg BT /TT5 8.25 Tf 0.3 Tw 176.25 384 Td ( )Tj /TT0 8.25 Tf 0.07159 Tc 0.11591 Tw 10.5 0 Td (randomly divide )Tj /TT2 8.25 Tf -0.0435 Tc 0 Tw 57.75 0 Td (f)Tj /TT0 8.25 Tf 0.112 Tc 0.0755 Tw 2.25 0 Td ( into 4 equal sized test groups)Tj 0 Tc 0.1875 Tw 101.25 0 Td ( )Tj /TT5 8.25 Tf 0.3 Tw -171.75 -12 Td ( )Tj /TT1 8.25 Tf 0.2383 Tc 0 Tw 10.5 0 Td (for)Tj /TT0 8.25 Tf 0.11 Tc 0.0775 Tw 11.25 0 Td ( each test group)Tj 0 Tc 0.1875 Tw 54.75 0 Td ( )Tj /TT5 8.25 Tf 0.3 Tw -76.5 -12 Td ( )Tj /TT0 8.25 Tf 0.12241 Tc -0.04201 Tw 21 0 Td (multiply align the other 3 groups using )Tj /TT2 8.25 Tf 0.375 Tc 0 Tw 135.75 0 Td (S)Tj /TT0 8.25 Tf 0.1064 Tc 0.0811 Tw 4.5 0 Td ( and gap penalties)Tj 0 Tc 0.1875 Tw 61.5 0 Td ( )Tj /TT5 8.25 Tf 0.3 Tw -222.75 -12 Td ( )Tj /TT0 8.25 Tf 0.1311 Tc 0.0564 Tw 21 0 Td (construct a HMM based on the multip)Tj 0.1403 Tc 0.0472 Tw 131.25 0 Td (le alignment)Tj 0 Tc 0.1875 Tw 42.75 0 Td ( )Tj /TT5 8.25 Tf 0.3 Tw -195 -12 Td ( )Tj /TT0 8.25 Tf 0.161 Tc 0.0265 Tw 21 0 Td (align proteins in test group to the HMM and record scores)Tj /TT0 5.25 Tf 0.375 Tc 0 Tw 201 3.75 Td (*)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 3 -3.75 Td ( )Tj /TT5 8.25 Tf 0.3 Tw -225 -12 Td ( )Tj /TT0 8.25 Tf 0.14059 Tc 0.04691 Tw 21 0 Td (align non)Tj 0.2527 Tc 0 Tw 32.25 0 Td (-)Tj 0.17979 Tc 0.00771 Tw 3 0 Td (family proteins to the HMM and record scores)Tj /TT0 5.25 Tf 0.375 Tc 0 Tw 161.25 3.75 Td (*)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 3 -3.75 Td ( )Tj /TT5 8.25 Tf 0.3 Tw -220.5 -12 Td ( )Tj /TT1 8.25 Tf 0.72099 Tc 0 Tw 10.5 0 Td (end)Tj 0 Tc 0.1875 Tw 14.25 0 Td ( )Tj 0.72099 Tc 0 Tw -24.75 -12 Td (end)Tj 0 Tc 0.1875 Tw 14.25 0 Td ( )Tj 0.2383 Tc -0.0508 Tw -14.25 -13.5 Td (for )Tj /TT0 8.25 Tf 0.1651 Tc 0.0224 Tw 13.5 0 Td (each scoring matrix )Tj /TT2 8.25 Tf 0.375 Tc -0.1875 Tw 70.5 0 Td (S )Tj /TT0 8.25 Tf 0.0329 Tc 0.1546 Tw 6.75 0 Td (and family)Tj /TT2 8.25 Tf -0.0435 Tc 0.231 Tw 36.75 0 Td ( f)Tj /TT1 8.25 Tf 0 Tc 0.1875 Tw 4.5 0 Td ( )Tj /TT5 8.25 Tf 0.3 Tw -132 -12 Td ( )Tj /TT0 8.25 Tf 0.1295 Tc 0.058 Tw 10.5 0 Td (calculate mean \()Tj /TT2 8.25 Tf 0.0435 Tc 0 Tw 56.25 0 Td (m)Tj /TT0 8.25 Tf 0.12199 Tc 0.06551 Tw 6.75 0 Td (\) and standard deviation \()Tj /TT3 8.25 Tf 0.2753 Tc 0 Tw 87.75 0 Td (s)Tj /TT0 8.25 Tf 0.3226 Tc -0.1351 Tw 4.5 0 Td (\) for non)Tj 0.2527 Tc 0 Tw 31.5 0 Td (-)Tj -0.4579 Tc -0.1046 Tw 3 0 Td (family pr)Tj -0.5788 Tc 0.0163 Tw 26.25 0 Td (otein scores)Tj 0 Tc 0.1875 Tw 32.25 0 Td ( )Tj /TT5 8.25 Tf 0.3 Tw -258.75 -12 Td ( )Tj /TT0 8.25 Tf 0.23019 Tc -0.04269 Tw 10.5 0 Td (for each family protein )Tj /TT2 8.25 Tf 0.375 Tc 0 Tw 83.25 0 Td (p)Tj /TT0 8.25 Tf 0.03951 Tc -0.03951 Tw 4.5 0 Td ( \(whose score is )Tj /TT2 8.25 Tf -0.2092 Tc 0 Tw 56.25 0 Td (s)Tj /TT0 8.25 Tf 0.10181 Tc 0.08569 Tw 3 0 Td (\), calculate )Tj /TT2 8.25 Tf -0.08701 Tc 0 Tw 39.75 0 Td (Z)Tj /TT2 5.25 Tf 0.3125 Tc -0.125 Tw 4.5 -0.75 Td (S, p)Tj /TT0 8.25 Tf 0.0499 Tc 0.1376 Tw 9 0.75 Td ( = \()Tj /TT2 8.25 Tf -0.2092 Tc 0 Tw 12 0 Td (s)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 3 0 Td ( )Tj /TT3 8.25 Tf -0.0293 Tc 0 Tw 2.25 0 Td (-)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 4.5 0 Td ( )Tj /TT2 8.25 Tf 0.0435 Tc 0 Tw 2.25 0 Td (m)Tj /TT0 8.25 Tf 0.2527 Tc 6.75 0 Td (\))Tj 0 Tc 0.1875 Tw 3 0 Td ( )Tj -0.0435 Tc 0 Tw 2.25 0 Td (/)Tj /TT2 8.25 Tf 0 Tc 0.1875 Tw 2.25 0 Td ( )Tj /TT3 8.25 Tf 0.2753 Tc 0 Tw 2.25 0 Td (s)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 4.5 0 Td ( )Tj /TT1 8.25 Tf 0.72099 Tc 0 Tw -255.75 -12 Td (end)Tj 0 Tc 0.1875 Tw 14.25 0 Td ( )Tj 0.2383 Tc 0 Tw -14.25 -13.5 Td (for)Tj /TT0 8.25 Tf 0.133 Tc 0.0545 Tw 11.25 0 Td ( each protein sequence )Tj /TT2 8.25 Tf 0.375 Tc 0 Tw 80.25 0 Td (p)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 4.5 0 Td ( )Tj /TT3 8.25 Tf 0.1178 Tc 0 Tw 2.25 0 Td (\316)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 6 0 Td ( )Tj /TT4 8.25 Tf 0.2527 Tc 0 Tw 2.25 0 Td (f)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 2.25 0 Td ( )Tj /TT5 8.25 Tf 0.3 Tw -108.75 -12 Td ( )Tj /TT0 8 Tf -0.09 Tc 0 Tw 71.25 0 Td (})Tj -18.75 0 Td ({)Tj 0.408 Tc -12.75 0 Td (max)Tj /TT0 6 Tf 0 Tc 25.5 -2.25 Td (,)Tj /TT2 6 Tf 2.25 0 Td (p)Tj -6 0 Td (S)Tj -20.25 -3.75 Td (S)Tj -14.25 3.75 Td (p)Tj /TT2 8 Tf 0.052 Tc 29.25 2.25 Td (Z)Tj 0.5573 Tc -43.5 0 Td (max)Tj /TT4 6 Tf -0.336 Tc 35.25 -6 Td (S)Tj /TT3 6 Tf 0.222 Tc -3.75 0 Td (\316)Tj /TT3 8 Tf 0.108 Tc -11.25 6 Td (=)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 44.25 0 Td ( )Tj /TT1 8.25 Tf 0.72099 Tc 0 Tw -77.25 -15 Td (end)Tj 0 Tc 0.1875 Tw 14.25 0 Td ( )Tj 0.2383 Tc 0 Tw -14.25 -13.5 Td (for)Tj /TT0 8.25 Tf 0.1651 Tc 0.0224 Tw 11.25 0 Td ( each scoring matrix )Tj /TT2 8.25 Tf 0.375 Tc 0 Tw 72.75 0 Td (S)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 4.5 0 Td ( )Tj /TT5 8.25 Tf 0.3 Tw -88.5 -11.25 Td ( )Tj /TT0 8.25 Tf 0.09531 Tc 0.09219 Tw 10.5 0 Td (cumulative score )Tj ET q 255 180.75 8.25 13.5 re h W n BT /TT3 11.8125 Tf -0.1723 Tc 0 Tw 255 183.75 Td (\345)Tj ET Q BT /TT3 5.9062 Tf 0.2888 Tc 0 Tw 267 181.5 Td (\316)Tj /TT3 7.875 Tf 0.17661 Tc 32.25 3.75 Td (-)Tj -50.25 0 Td (=)Tj /TT4 5.9062 Tf 0.2832 Tc 23.25 -3.75 Td (f)Tj /TT2 5.9062 Tf 0.04691 Tc -7.5 0 Td (p)Tj 51.75 2.25 Td (p)Tj -6 0 Td (S)Tj -16.5 0 Td (p)Tj /TT2 7.875 Tf 0.12151 Tc 11.25 1.5 Td (Z)Tj -0.37331 Tc -26.25 0 Td (max)Tj /TT0 7.875 Tf -0.37241 Tc 42 0 Td (\))Tj -44.25 0 Td (\()Tj /TT0 5.9062 Tf 0.02341 Tc 37.5 -1.5 Td (,)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 11.25 1.5 Td ( )Tj /TT1 8.25 Tf 0.72099 Tc 0 Tw -149.25 -13.5 Td (end)Tj 0 Tc 0.1875 Tw 14.25 0 Td ( )Tj ET 0 0.502 0 rg 171 168.75 269.25 1.5 re f 0 0 0 rg BT /TT0 8.25 Tf 0.0027 Tc 0.1848 Tw 197.25 156 Td (Figure 2. )Tj /TT2 8.25 Tf 0.0648 Tc 0 Tw 32.25 0 Td (Testing)Tj 0.153 Tc 0.0345 Tw 24.75 0 Td ( procedure. )Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 42 4.5 Td (*)Tj /TT2 8.25 Tf 0.1201 Tc 0.0674 Tw 3.75 -4.5 Td (All scores are length normalized.)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 114 0 Td ( )Tj ET q /GS0 gs /Fm0 Do Q endstream endobj 93 0 obj 137 endobj 94 0 obj<>/ProcSet[/PDF/Text]>>/Subtype/Form/FormType 1/Matrix[1.0 0.0 0.0 1.0 0.0 0.0]/PieceInfo<>>>stream 0 g 0 i BT /TT0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 8 0 0 8 208.40401 748 Tm (Pacific Symposium on Biocomputing 7:589-600 \(2002\) )Tj ET endstream endobj 95 0 obj<> endobj 96 0 obj 19850 endobj 97 0 obj<>stream 0 0 0 rg 1 i BT /TT0 12 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 135.75 131.25 Td ( )Tj /TT1 9.75 Tf 0.19279 Tc -0.00529 Tw 0 507 TD (3 Results )Tj 0 Tc -0.1875 Tw 41.25 0 Td ( )Tj /TT0 9.75 Tf 0.1496 Tc 0.1004 Tw -41.25 -26.25 Td (In the development of our testing procedures, we compared the performanc\ e of se)Tj 0.4391 Tc 0 Tw 331.5 0 Td (v-)Tj 0.11549 Tc 1.722 Tw -331.5 -12 Td (eral previously published matrices and corresponding gap penalties optim\ ized in )Tj 0.0323 Tc 0.7444 Tw 0 -12 TD (reference 15 as applied to the 21 larg)Tj 0.01781 Tc 0.54469 Tw 151.5 0 Td (est families of disorder \(Table 1\). The matrices )Tj 0.1084 Tc 0.34689 Tw -151.5 -12 Td (were ranked by their cumulative scores \(see )Tj /TT2 9.75 Tf -0.0625 Tc 0 Tw 181.5 0 Td (2.7)Tj /TT0 9.75 Tf 0.1756 Tc -0.0631 Tw 12.75 0 Td (\) over all of the test proteins up to a )Tj 0.1893 Tc -0.1268 Tw -194.25 -12 Td (threshold sequence identity that was calculated as the average of pairwi\ se sequence )Tj 0.1461 Tc -0.18359 Tw T* (identities between a query protein a)Tj 0.1692 Tc -0.3567 Tw 143.25 0 Td (nd the set of training proteins used in model co)Tj 0.4391 Tc 0 Tw 188.25 0 Td (n-)Tj 0.1796 Tc 1.24831 Tw -331.5 -12 Td (struction. A sequence identity threshold of 50% was set to include a rea\ sonable )Tj 0.10429 Tc 1.95821 Tw T* (number of proteins while emphasizing the more divergent ones. Furthermor\ e, a)Tj -0.35361 Tc 0 Tw 334.5 0 Td (l-)Tj 0.1402 Tc 1.1723 Tw -334.5 -12 Td (though both multiple sequence alignments)Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 176.25 4.5 Td (7)Tj /TT0 9.75 Tf 0.4534 Tc 0.8591 Tw 3.75 -4.5 Td ( and a se)Tj -0.0562 Tc 0.8062 Tw 39.75 0 Td (ries of optimal pairwise alig)Tj 0.4391 Tc 0 Tw 111.75 0 Td (n-)Tj -0.00861 Tc -331.5 -12 Td (ments)Tj /TT0 6.75 Tf 0.375 Tc 24 4.5 Td (1)Tj /TT0 9.75 Tf 0.1254 Tc 0.3689 Tw 3.75 -4.5 Td ( were tried in step one of our iterative procedure \(section )Tj /TT2 9.75 Tf -0.0625 Tc 0 Tw 234.75 0 Td (2.2)Tj /TT0 9.75 Tf 0.1138 Tc -0.3013 Tw 12.75 0 Td (\), the latter gave )Tj 0.21741 Tc -0.40491 Tw -275.25 -12 Td (slightly better results so that only these results are pr)Tj 0.17101 Tc 0 Tw 213 0 Td (e)Tj 0.27161 Tc -0.45911 Tw 4.5 0 Td (sented. )Tj 0 Tc -0.1875 Tw 31.5 0 Td ( )Tj -231.75 -12 Td ( )Tj /TT0 8.25 Tf 0.1825 Tc 0.005 Tw -17.25 -10.5 Td (Table 1. )Tj /TT2 8.25 Tf 0.14639 Tc 0.04111 Tw 30.75 0 Td (Comparative performance of different matrices with given gap )Tj -0.15311 Tc -0.10941 Tw 218.25 0 Td (penalties for all test proteins )Tj 0.13271 Tc 0.05479 Tw -209.25 -10.5 Td (whose average sequence identity to the training sequences is less than 5\ 0%)Tj /TT0 8.25 Tf 0 Tc 0.1875 Tw 259.5 0 Td ( )Tj 0.1322 Tc 0 Tw -295.5 -15.75 Td (Matrix)Tj 0 Tc 0.1875 Tw 24 0 Td ( )Tj -0.0815 Tc 0 Tw 51.75 0 Td (Gap)Tj 0.2527 Tc 13.5 0 Td (-)Tj 0.27901 Tc 3 0 Td (ope)Tj 0.375 Tc 12.75 0 Td (n)Tj 0.08369 Tc 0.10381 Tw 4.5 0 Td (ing pe)Tj 0.375 Tc 0 Tw 21 0 Td (n)Tj 0.2813 Tc 4.5 0 Td (alty)Tj 0 Tc 0.1875 Tw 12.75 0 Td ( )Tj -0.0815 Tc 0 Tw 11.25 0 Td (Gap)Tj 0.2527 Tc 13.5 0 Td (-)Tj 0.5014 Tc 3 0 Td (exte)Tj 0.375 Tc 15 0 Td (n)Tj 0.2236 Tc -0.0361 Tw 4.5 0 Td (sion penalty)Tj 0 Tc 0.1875 Tw 42.75 0 Td ( )Tj 0.07269 Tc 0.11481 Tw 23.25 0 Td (Cumulative score)Tj 0 Tc 0.1875 Tw 59.25 0 Td ( )Tj ET 0 0.502 0 rg 133.5 453 76.5 1.5 re f 210 453 1.5 1.5 re f 211.5 453 81.75 1.5 re f 293.25 453 1.5 1.5 re f 294.75 453 88.5 1.5 re f 383.25 453 1.5 1.5 re f 384.75 453 93 1.5 re f q 139.5 430.5 29.25 7.5 re h W n 0 0 0 rg BT /TT0 6.75 Tf 0.37621 Tc 0 Tw 139.5 430.5 Td (GONNET)Tj ET Q q 168.75 430.5 4.5 8.25 re h W n 0 0 0 rg BT /TT0 8.25 Tf 168.75 430.5 Td ( )Tj ET Q q 249 430.5 4.5 8.25 re h W n 0 0 0 rg BT /TT0 8.25 Tf 0.375 Tc 0 Tw 249 430.5 Td (6)Tj ET Q q 253.5 430.5 4.5 8.25 re h W n 0 0 0 rg BT /TT0 8.25 Tf 253.5 430.5 Td ( )Tj ET Q q 332.25 430.5 11.25 8.25 re h W n 0 0 0 rg BT /TT0 8.25 Tf 0.3125 Tc 0 Tw 332.25 430.5 Td (0.8)Tj ET Q q 343.5 430.5 4.5 8.25 re h W n 0 0 0 rg BT /TT0 8.25 Tf 343.5 430.5 Td ( )Tj ET Q q 420 430.5 20.25 8.25 re h W n 0 0 0 rg BT /TT0 8.25 Tf 0.33749 Tc 0 Tw 420 430.5 Td (55.54)Tj ET Q q 440.25 430.5 4.5 8.25 re h W n 0 0 0 rg BT /TT0 8.25 Tf 440.25 430.5 Td ( )Tj ET Q 133.5 440.25 76.5 0.75 re f 210 440.25 0.75 0.75 re f 210.75 440.25 82.5 0.75 re f 293.25 440.25 0.75 0.75 re f 294 440.25 89.25 0.75 re f 383.25 440.25 0.75 0.75 re f 384 440.25 93.75 0.75 re f 0 0 0 rg BT /TT0 6.75 Tf 0.3121 Tc 0 Tw 139.5 420 Td (BLOSUM)Tj ET q 168.75 418.5 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 168.75 420 Td (30)Tj ET Q q 177.75 418.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 177.75 420 Td ( )Tj ET Q q 249 418.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 249 420 Td (9)Tj ET Q q 253.5 418.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 253.5 420 Td ( )Tj ET Q q 336 418.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 336 420 Td (1)Tj ET Q q 340.5 418.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 340.5 420 Td ( )Tj ET Q q 420 418.5 20.25 9.75 re h W n BT /TT0 8.25 Tf 0.33749 Tc 420 420 Td (65.34)Tj ET Q q 440.25 418.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 420 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.62421 Tc 139.5 409.5 Td (PAM)Tj ET q 155.25 408 13.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 155.25 409.5 Td (250)Tj ET Q q 168.75 408 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 168.75 409.5 Td ( )Tj ET Q q 243 408 15.75 9.75 re h W n BT /TT0 8.25 Tf 0.32809 Tc 243 409.5 Td (12.5)Tj ET Q q 258.75 408 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 258.75 409.5 Td ( )Tj ET Q q 332.25 408 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 409.5 Td (0.1)Tj ET Q q 343.5 408 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 409.5 Td ( )Tj ET Q q 420 408 20.25 9.75 re h W n BT /TT0 8.25 Tf 0.33749 Tc 420 409.5 Td (68.76)Tj ET Q q 440.25 408 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 409.5 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.3121 Tc 139.5 398.25 Td (BLOSUM)Tj ET q 168.75 396.75 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 168.75 398.25 Td (62)Tj ET Q q 177.75 396.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 177.75 398.25 Td ( )Tj ET Q q 245.25 396.75 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 245.25 398.25 Td (7.5)Tj ET Q q 256.5 396.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 256.5 398.25 Td ( )Tj ET Q q 332.25 396.75 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 398.25 Td (0.9)Tj ET Q q 343.5 396.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 398.25 Td ( )Tj ET Q q 420 396.75 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 420 398.25 Td (74)Tj ET Q q 429 396.75 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 429 398.25 Td (.55)Tj ET Q q 440.25 396.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 398.25 Td ( )Tj ET Q BT /TT0 6.75 Tf 139.5 387 Td (BLOSUM)Tj ET q 168.75 385.5 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 168.75 387 Td (62)Tj ET Q q 177.75 385.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 177.75 387 Td ( )Tj ET Q q 246.75 385.5 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 246.75 387 Td (10)Tj ET Q q 255.75 385.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 255.75 387 Td ( )Tj ET Q q 332.25 385.5 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 387 Td (0.6)Tj ET Q q 343.5 385.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 387 Td ( )Tj ET Q q 420 385.5 20.25 9.75 re h W n BT /TT0 8.25 Tf 0.33749 Tc 420 387 Td (76.03)Tj ET Q q 440.25 385.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 387 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.375 Tc 139.5 376.5 Td (BENNER)Tj ET q 168 375 9 9.75 re h W n BT /TT0 8.25 Tf 168 376.5 Td (74)Tj ET Q q 177 375 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 177 376.5 Td ( )Tj ET Q q 249 375 4.5 9.75 re h W n BT /TT0 8.25 Tf 249 376.5 Td (7)Tj ET Q q 253.5 375 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 253.5 376.5 Td ( )Tj ET Q q 332.25 375 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 376.5 Td (0.8)Tj ET Q q 343.5 375 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 376.5 Td ( )Tj ET Q q 420 375 20.25 9.75 re h W n BT /TT0 8.25 Tf 0.33749 Tc 420 376.5 Td (77.83)Tj ET Q q 440.25 375 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 376.5 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.3121 Tc 139.5 365.25 Td (BLOSUM)Tj ET q 168.75 363.75 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 168.75 365.25 Td (30)Tj ET Q q 177.75 363.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 177.75 365.25 Td ( )Tj ET Q q 246.75 363.75 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 246.75 365.25 Td (10)Tj ET Q q 255.75 363.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 255.75 365.25 Td ( )Tj ET Q q 332.25 363.75 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 365.25 Td (1.5)Tj ET Q q 343.5 363.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 365.25 Td ( )Tj ET Q q 420 363.75 20.25 9.75 re h W n BT /TT0 8.25 Tf 0.33749 Tc 420 365.25 Td (79.13)Tj ET Q q 440.25 363.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 365.25 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.375 Tc 139.5 354 Td (BENNER)Tj ET q 168 352.5 9 9.75 re h W n BT /TT0 8.25 Tf 168 354 Td (74)Tj ET Q q 177 352.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 177 354 Td ( )Tj ET Q q 245.25 352.5 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 245.25 354 Td (9.5)Tj ET Q q 256.5 352.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 256.5 354 Td ( )Tj ET Q q 332.25 352.5 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 354 Td (0.8)Tj ET Q q 343.5 352.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 354 Td ( )Tj ET Q q 420 352.5 20.25 9.75 re h W n BT /TT0 8.25 Tf 0.33749 Tc 420 354 Td (83.19)Tj ET Q q 440.25 352.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 354 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.3013 Tc 139.5 343.5 Td (IDENT)Tj ET q 160.5 342 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 160.5 343.5 Td ( )Tj ET Q q 246.75 342 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 246.75 343.5 Td (12)Tj ET Q q 255.75 342 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 255.75 343.5 Td ( )Tj ET Q q 332.25 342 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 343.5 Td (0.5)Tj ET Q q 343.5 342 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 343.5 Td ( )Tj ET Q q 420 342 20.25 9.75 re h W n BT /TT0 8.25 Tf 0.33749 Tc 420 343.5 Td (83.82)Tj ET Q q 440.25 342 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 343.5 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.3121 Tc 139.5 332.25 Td (BLOSUM)Tj ET q 168.75 330.75 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 168.75 332.25 Td (80)Tj ET Q q 177.75 330.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 177.75 332.25 Td ( )Tj ET Q q 249 330.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 249 332.25 Td (7)Tj ET Q q 253.5 330.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 253.5 332.25 Td ( )Tj ET Q q 332.25 330.75 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 332.25 Td (1.5)Tj ET Q q 343.5 330.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 332.25 Td ( )Tj ET Q q 420 330.75 20.25 9.75 re h W n BT /TT0 8.25 Tf 0.33749 Tc 420 332.25 Td (87.48)Tj ET Q q 440.25 330.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 332.25 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.62421 Tc 139.5 321 Td (PAM)Tj ET q 155.25 319.5 13.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 155.25 321 Td (300)Tj ET Q q 168.75 319.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 168.75 321 Td ( )Tj ET Q q 243 319.5 15.75 9.75 re h W n BT /TT0 8.25 Tf 0.32809 Tc 243 321 Td (12.5)Tj ET Q q 258.75 319.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 258.75 321 Td ( )Tj ET Q q 332.25 319.5 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 321 Td (0.4)Tj ET Q q 343.5 319.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 321 Td ( )Tj ET Q q 420 319.5 20.25 9.75 re h W n BT /TT0 8.25 Tf 0.33749 Tc 420 321 Td (90.78)Tj ET Q q 440.25 319.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 321 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.3013 Tc 139.5 310.5 Td (IDENT)Tj ET q 160.5 309 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 160.5 310.5 Td ( )Tj ET Q q 249 309 4.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 249 310.5 Td (7)Tj ET Q q 253.5 309 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 253.5 310.5 Td ( )Tj ET Q q 332.25 309 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 310.5 Td (1.4)Tj ET Q q 343.5 309 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 310.5 Td ( )Tj ET Q q 420 309 20.25 9.75 re h W n BT /TT0 8.25 Tf 0.33749 Tc 420 310.5 Td (95.40)Tj ET Q q 440.25 309 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 310.5 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.62421 Tc 139.5 299.25 Td (PAM)Tj ET q 155.25 297.75 13.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 155.25 299.25 Td (250)Tj ET Q q 168.75 297.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 168.75 299.25 Td ( )Tj ET Q q 246.75 297.75 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 246.75 299.25 Td (11)Tj ET Q q 255.75 297.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 255.75 299.25 Td ( )Tj ET Q q 332.25 297.75 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 299.25 Td (0.5)Tj ET Q q 343.5 297.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 299.25 Td ( )Tj ET Q q 420 297.75 20.25 9.75 re h W n BT /TT0 8.25 Tf 0.33749 Tc 420 299.25 Td (96.45)Tj ET Q q 440.25 297.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 440.25 299.25 Td ( )Tj ET Q BT /TT0 6.75 Tf 139.5 288 Td (PAM)Tj ET q 155.25 286.5 13.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 155.25 288 Td (120)Tj ET Q q 168.75 286.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 168.75 288 Td ( )Tj ET Q q 249 286.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 249 288 Td (6)Tj ET Q q 253.5 286.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 253.5 288 Td ( )Tj ET Q q 332.25 286.5 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 288 Td (1.4)Tj ET Q q 343.5 286.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 288 Td ( )Tj ET Q q 417.75 286.5 24.75 9.75 re h W n BT /TT0 8.25 Tf 0.3438 Tc 417.75 288 Td (100.29)Tj ET Q q 442.5 286.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 442.5 288 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.37621 Tc 139.5 277.5 Td (GONNET)Tj ET q 168.75 276 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 168.75 277.5 Td ( )Tj ET Q q 246.75 276 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 246.75 277.5 Td (14)Tj ET Q q 255.75 276 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 255.75 277.5 Td ( )Tj ET Q q 332.25 276 11.25 9.75 re h W n BT /TT0 8.25 Tf 0.3125 Tc 332.25 277.5 Td (0.2)Tj ET Q q 343.5 276 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 343.5 277.5 Td ( )Tj ET Q q 417.75 276 24.75 9.75 re h W n BT /TT0 8.25 Tf 0.3438 Tc 417.75 277.5 Td (103.47)Tj ET Q q 442.5 276 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 442.5 277.5 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.62421 Tc 139.5 266.25 Td (PAM)Tj ET q 155.25 264.75 13.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 155.25 266.25 Td (300)Tj ET Q q 168.75 264.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 168.75 266.25 Td ( )Tj ET Q q 249 264.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 249 266.25 Td (9)Tj ET Q q 253.5 264.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 253.5 266.25 Td ( )Tj ET Q q 336 264.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 336 266.25 Td (2)Tj ET Q q 340.5 264.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 340.5 266.25 Td ( )Tj ET Q q 417.75 264.75 24.75 9.75 re h W n BT /TT0 8.25 Tf 0.3438 Tc 417.75 266.25 Td (119.52)Tj ET Q q 442.5 264.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 442.5 266.25 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.3121 Tc 139.5 255 Td (BLOSUM)Tj ET q 168.75 253.5 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 168.75 255 Td (80)Tj ET Q q 177.75 253.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 177.75 255 Td ( )Tj ET Q q 243 253.5 15.75 9.75 re h W n BT /TT0 8.25 Tf 0.32809 Tc 243 255 Td (14.5)Tj ET Q q 258.75 253.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 258.75 255 Td ( )Tj ET Q q 330 253.5 15.75 9.75 re h W n BT /TT0 8.25 Tf 0.32809 Tc 330 255 Td (0.04)Tj ET Q q 345.75 253.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 345.75 255 Td ( )Tj ET Q q 417.75 253.5 24.75 9.75 re h W n BT /TT0 8.25 Tf 0.3438 Tc 417.75 255 Td (126.44)Tj ET Q q 442.5 253.5 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 442.5 255 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.62421 Tc 139.5 244.5 Td (PAM)Tj ET q 155.25 243 13.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 155.25 244.5 Td (120)Tj ET Q q 168.75 243 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 168.75 244.5 Td ( )Tj ET Q q 243 243 15.75 9.75 re h W n BT /TT0 8.25 Tf 0.32809 Tc 243 244.5 Td (12.5)Tj ET Q q 258.75 243 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 258.75 244.5 Td ( )Tj ET Q q 336 243 4.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 336 244.5 Td (1)Tj ET Q q 340.5 243 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 340.5 244.5 Td ( )Tj ET Q q 417.75 243 24.75 9.75 re h W n BT /TT0 8.25 Tf 0.3438 Tc 417.75 244.5 Td (159.28)Tj ET Q q 442.5 243 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 442.5 244.5 Td ( )Tj ET Q BT /TT0 6.75 Tf 0.1879 Tc 0.3746 Tw 139.5 233.25 Td (OPTIMA )Tj ET q 168 231.75 5.25 9.75 re h W n BT /TT2 8.25 Tf 0.375 Tc 0 Tw 168 233.25 Td (*)Tj ET Q q 172.5 231.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 172.5 233.25 Td ( )Tj ET Q q 244.5 231.75 13.5 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 0 Tw 244.5 233.25 Td (120)Tj ET Q q 258 231.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 258 233.25 Td ( )Tj ET Q q 333.75 231.75 9 9.75 re h W n BT /TT0 8.25 Tf 0.375 Tc 0 Tw 333.75 233.25 Td (20)Tj ET Q q 342.75 231.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 342.75 233.25 Td ( )Tj ET Q q 417.75 231.75 24.75 9.75 re h W n BT /TT0 8.25 Tf 0.3438 Tc 0 Tw 417.75 233.25 Td (276.57)Tj ET Q q 442.5 231.75 4.5 9.75 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 442.5 233.25 Td ( )Tj ET Q 0 0.502 0 rg 133.5 230.25 76.5 1.5 re f 210 230.25 1.5 1.5 re f 211.5 230.25 81.75 1.5 re f 293.25 230.25 1.5 1.5 re f 294.75 230.25 88.5 1.5 re f 383.25 230.25 1.5 1.5 re f 384.75 230.25 93 1.5 re f 0 0 0 rg BT /TT0 8.25 Tf 0.1552 Tc 0.0323 Tw 135.75 222 Td (*The scale difference in gap penalties for )Tj /TT0 6.75 Tf 0.0629 Tc 0 Tw 145.5 0 Td (OPTIMA)Tj /TT0 8.25 Tf -0.3031 Tc 0.1156 Tw 27 0 Td ( arises from the ten times greater values used to i)Tj 0.375 Tc 0 Tw 147 0 Td (n)Tj -0.68471 Tc 0.12219 Tw 3.75 0 Td (crease )Tj 0.1788 Tc 0.0087 Tw -323.25 -9.75 Td (alignment sensitivity)Tj 0 Tc 0.1875 Tw 72.75 0 Td ( )Tj /TT0 9.75 Tf -0.1875 Tw 105.75 -9.75 Td ( )Tj 0.0806 Tc 2.2319 Tw -160.5 -12 Td (In addition to representatives from the BLOS)Tj 0.14861 Tc 1.66389 Tw 193.5 0 Td (UM and PAM series, we also )Tj 0.2193 Tc 0.7182 Tw -211.5 -12 Td (evaluated two updates of )Tj /TT0 8.25 Tf 0.2907 Tc 0 Tw 109.5 0 Td (PAM)Tj /TT0 9.75 Tf -0.375 Tc 18.75 0 Td (250)Tj 0.05119 Tc 0.88631 Tw 13.5 0 Td (, Gonnet )Tj /TT2 9.75 Tf 0.2813 Tc 1.0313 Tw 39 0 Td (et al)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 19.5 0 Td (.)Tj /TT0 6.75 Tf 0.375 Tc 2.25 4.5 Td (22)Tj /TT0 9.75 Tf 0.1403 Tc 0.6722 Tw 7.5 -4.5 Td ( and Benner )Tj /TT2 9.75 Tf 0.2303 Tc 0 Tw 54 0 Td (et)Tj /TT0 9.75 Tf 0 Tc -0.1875 Tw 7.5 0 Td ( )Tj /TT2 9.75 Tf 0.409 Tc 0 Tw 3 0 Td (al.)Tj /TT0 6.75 Tf 0.375 Tc 10.5 4.5 Td (23)Tj /TT0 9.75 Tf -0.1806 Tc 0.2431 Tw 7.5 -4.5 Td (. The matrix )Tj /TT0 8.25 Tf 0.1516 Tc 0 Tw -292.5 -12 Td (IDENT)Tj /TT0 9.75 Tf 0.14771 Tc 1.0576 Tw 26.25 0 Td ( assigns +6 for a match and )Tj /TT3 9.75 Tf -0.1028 Tc 0 Tw 121.5 0 Td (-)Tj /TT0 9.75 Tf 0.0414 Tc 0.7711 Tw 5.25 0 Td (1 for a mismatch, and the )Tj /TT0 8.25 Tf 0.3546 Tc 0 Tw 108 0 Td (OPTIMA)Tj /TT0 9.75 Tf 0.66451 Tc -0.10201 Tw 33.75 0 Td ( m)Tj 0.17101 Tc 0 Tw 9.75 0 Td (a)Tj -0.13631 Tc 0.69881 Tw 4.5 0 Td (trix was )Tj -0.0025 Tc 1.5025 Tw -309 -12 Td (taken from reference 24. For each matrix we used gap penalties from re)Tj -0.4129 Tc 0 Tw 297.75 0 Td (fe)Tj -0.2467 Tc 7.5 0 Td (r)Tj 0.02299 Tc 0.53951 Tw 3 0 Td (ence 15 )Tj ET q /GS0 gs /Fm0 Do Q endstream endobj 98 0 obj 137 endobj 99 0 obj<>/ProcSet[/PDF/Text]>>/Subtype/Form/FormType 1/Matrix[1.0 0.0 0.0 1.0 0.0 0.0]/PieceInfo<>>>stream 0 g 0 i BT /TT0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 8 0 0 8 208.40401 748 Tm (Pacific Symposium on Biocomputing 7:589-600 \(2002\) )Tj ET endstream endobj 100 0 obj<> endobj 101 0 obj 61962 endobj 102 0 obj<>stream 0 0 0 rg 1 i BT /TT0 12 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 135.75 131.25 Td ( )Tj /TT0 9.75 Tf 0.0506 Tc 0.5119 Tw 0 506.25 TD (and both original and modified all)Tj -0.2467 Tc 0 Tw 137.25 0 Td (-)Tj 0.13879 Tc 0.3166 Tw 3 0 Td (positive scoring matrices. We also tried gap pe)Tj 0.4391 Tc 0 Tw 191.25 0 Td (n-)Tj 0.04401 Tc 1.55701 Tw -331.5 -12 Td (alties 12/2 exploited in reference 24 but they exhibited poor performanc\ e and are )Tj -0.0127 Tc -0.1748 Tw 0 -12 TD (excluded from Table 1, except for the )Tj /TT0 8.25 Tf 0.3546 Tc 0 Tw 147.75 0 Td (OPTIMA)Tj /TT0 9.75 Tf -0.08549 Tc -0.10201 Tw 33.75 0 Td ( m)Tj 0.17101 Tc 0 Tw 9 0 Td (a)Tj -0.034 Tc -0.1535 Tw 4.5 0 Td (trix for which they are optimal.)Tj 0 Tc -0.1875 Tw 120 0 Td ( )Tj 0.1611 Tc 0.1129 Tw -297 -12 Td (Overall, the results of Table 1 suggest that, of the previously publishe\ d scoring )Tj -0.03529 Tc 0.7478 Tw -18 -12 Td (matrices, the matrix of Gonnet )Tj /TT1 9.75 Tf 0.2813 Tc 0.2813 Tw 124.5 0 Td (et al)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 18.75 0 Td (.)Tj /TT0 6.75 Tf 0.375 Tc 2.25 4.5 Td (22)Tj /TT0 9.75 Tf 0.15781 Tc 0.40469 Tw 7.5 -4.5 Td ( performed the best on our disordered protein )Tj 0.1062 Tc -0.2937 Tw -153 -12 Td (families with less than 50% sequence identity.)Tj 0 Tc -0.1875 Tw 183 0 Td ( )Tj -0.17979 Tc 0.36729 Tw -165 -12 Td (The matrix )Tj /TT0 8.25 Tf 0 Tc 0 Tw 46.5 0 Td (DISORDER)Tj /TT0 9.75 Tf 0.2029 Tc 1.1096 Tw 40.5 0 Td ( was obtained as descri)Tj 0.06619 Tc 1.0963 Tw 99 0 Td (bed in Section 2 with )Tj /TT2 9.75 Tf -0.1523 Tc 0 Tw 92.25 0 Td (a)Tj /TT0 9.75 Tf 0 Tc -0.1875 Tw 6 0 Td ( )Tj -0.24899 Tc 0 Tw 2.25 0 Td (=)Tj 0 Tc -0.1875 Tw 5.25 0 Td ( )Tj -0.1619 Tc 0.7243 Tw 2.25 0 Td (1.75 \()Tj /TT2 9.75 Tf -0.1523 Tc 0 Tw 21.75 0 Td (a)Tj /TT0 9.75 Tf 0 Tc -0.1875 Tw 6 0 Td ( )Tj 0.0905 Tc 0.8002 Tw -339.75 -12 Td (values were tested in steps of 0.25 in the interval from 1 to 2\). This \ new, disorder)Tj -0.2467 Tc 0 Tw 336.75 0 Td (-)Tj 0.0071 Tc 2.2429 Tw -336.75 -12 Td (specific scoring matrix \(Fig. 3\) differs significantly from all of the\ other sco)Tj -0.2467 Tc 0 Tw 324 0 Td (r)Tj 0.0965 Tc 0.466 Tw 3 0 Td (ing )Tj -0.0766 Tc 2.3891 Tw -327 -12 Td (matrices in Table 1. For example, )Tj /TT0 8.25 Tf 0 Tc 0 Tw 148.5 0 Td (DISORDER)Tj /TT0 9.75 Tf 0.0403 Tc 1.8347 Tw 40.5 0 Td ( differs in 100 out of 210 positions )Tj -0.3119 Tc 0 Tw -189 -12 Td (\(47.6)Tj -0.1788 Tc 0.7413 Tw 18.75 0 Td (%\) from )Tj /TT0 8.25 Tf -0.1046 Tc 0 Tw 38.25 0 Td (BLOSUM)Tj /TT0 9.75 Tf -0.3125 Tc 0.125 Tw 33.75 0 Td (62, )Tj 0.0656 Tc 1.3219 Tw 15.75 0 Td (which was used as the initial matrix in the development )Tj 0.13921 Tc 0.79829 Tw -106.5 -12 Td (cycle \(section )Tj /TT1 9.75 Tf -0.0625 Tc 0 Tw 60.75 0 Td (2.2)Tj /TT0 9.75 Tf 0.0676 Tc 1.1199 Tw 12.75 0 Td (\). Differences in values were between )Tj /TT2 9.75 Tf -0.1028 Tc 0 Tw 159 0 Td (-)Tj /TT0 9.75 Tf 0.05811 Tc 0.50439 Tw 5.25 0 Td (3 and 3, and exhibited an )Tj -0.0287 Tc -0.1588 Tw -237.75 -12 Td (almost normal distrib)Tj 0.375 Tc 0 Tw 83.25 0 Td (u)Tj 0.1653 Tc -0.35291 Tw 5.25 0 Td (tion \(not shown\).)Tj 0 Tc -0.1875 Tw 69 0 Td ( )Tj -139.5 -12 Td ( )Tj /TT3 8.25 Tf 0.0435 Tc 0 Tw -16.5 -10.5 Td (C)Tj 0 Tc 0.1875 Tw 6.75 0 Td ( )Tj /TT0 8.25 Tf 0.375 Tc 0 Tw 13.5 0 Td (10)Tj ET q 166.5 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 471 Td ( )Tj ET Q q 183 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 471 Td ( )Tj ET Q q 198.75 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 471 Td ( )Tj ET Q q 215.25 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 471 Td ( )Tj ET Q q 231.75 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 471 Td ( )Tj ET Q q 248.25 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 471 Td ( )Tj ET Q q 264.75 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 471 Td ( )Tj ET Q q 281.25 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 471 Td ( )Tj ET Q q 297.75 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 471 Td ( )Tj ET Q q 314.25 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 471 Td ( )Tj ET Q q 330.75 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 471 Td ( )Tj ET Q q 347.25 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 471 Td ( )Tj ET Q q 363.75 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 471 Td ( )Tj ET Q q 380.25 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 471 Td ( )Tj ET Q q 396.75 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 471 Td ( )Tj ET Q q 412.5 468.75 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 471 Td ( )Tj ET Q q 429 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 471 Td ( )Tj ET Q q 445.5 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 471 Td ( )Tj ET Q q 458.25 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 471 Td ( )Tj ET Q q 474 468.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 471 Td ( )Tj ET Q 150.75 469.5 0.75 9.75 re f BT /TT3 8.25 Tf -0.08701 Tc 137.25 461.25 Td (S)Tj 0 Tc 0.1875 Tw 5.25 0 Td ( )Tj /TT0 8.25 Tf 0.375 Tc 0 Tw 19.5 0 Td (0)Tj ET q 166.5 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 461.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 178.5 461.25 Td (3)Tj ET q 183 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 461.25 Td ( )Tj ET Q q 198.75 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 461.25 Td ( )Tj ET Q q 215.25 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 461.25 Td ( )Tj ET Q q 231.75 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 461.25 Td ( )Tj ET Q q 248.25 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 461.25 Td ( )Tj ET Q q 264.75 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 461.25 Td ( )Tj ET Q q 281.25 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 461.25 Td ( )Tj ET Q q 297.75 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 461.25 Td ( )Tj ET Q q 314.25 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 461.25 Td ( )Tj ET Q q 330.75 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 461.25 Td ( )Tj ET Q q 347.25 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 461.25 Td ( )Tj ET Q q 363.75 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 461.25 Td ( )Tj ET Q q 380.25 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 461.25 Td ( )Tj ET Q q 396.75 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 461.25 Td ( )Tj ET Q q 412.5 459 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 461.25 Td ( )Tj ET Q q 429 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 461.25 Td ( )Tj ET Q q 445.5 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 461.25 Td ( )Tj ET Q q 458.25 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 461.25 Td ( )Tj ET Q q 474 459 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 461.25 Td ( )Tj ET Q 150.75 459.75 0.75 9.75 re f BT /TT3 8.25 Tf -0.2527 Tc 137.25 451.5 Td (T)Tj 0 Tc 0.1875 Tw 4.5 0 Td ( )Tj /TT0 8.25 Tf 0.375 Tc 0 Tw 20.25 0 Td (1)Tj ET q 166.5 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 451.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 178.5 451.5 Td (1)Tj ET q 183 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 451.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 194.25 451.5 Td (4)Tj ET q 198.75 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 451.5 Td ( )Tj ET Q q 215.25 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 451.5 Td ( )Tj ET Q q 231.75 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 451.5 Td ( )Tj ET Q q 248.25 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 451.5 Td ( )Tj ET Q q 264.75 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 451.5 Td ( )Tj ET Q q 281.25 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 451.5 Td ( )Tj ET Q q 297.75 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 451.5 Td ( )Tj ET Q q 314.25 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 451.5 Td ( )Tj ET Q q 330.75 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 451.5 Td ( )Tj ET Q q 347.25 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 451.5 Td ( )Tj ET Q q 363.75 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 451.5 Td ( )Tj ET Q q 380.25 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 451.5 Td ( )Tj ET Q q 396.75 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 451.5 Td ( )Tj ET Q q 412.5 449.25 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 451.5 Td ( )Tj ET Q q 429 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 451.5 Td ( )Tj ET Q q 445.5 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 451.5 Td ( )Tj ET Q q 458.25 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 451.5 Td ( )Tj ET Q q 474 449.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 451.5 Td ( )Tj ET Q 150.75 449.25 0.75 10.5 re f BT /TT3 8.25 Tf 0.2092 Tc 137.25 441 Td (P)Tj 0 Tc 0.1875 Tw 5.25 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 15 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 166.5 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 441 Td ( )Tj ET Q q 178.5 438.75 5.25 10.5 re h W n BT /TT0 8.25 Tf -0.1875 Tw 178.5 441 Td (0 )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 189.75 441 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 198.75 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 441 Td ( )Tj ET Q BT /TT0 8.25 Tf 210.75 441 Td (6)Tj ET q 215.25 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 441 Td ( )Tj ET Q q 231.75 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 441 Td ( )Tj ET Q q 248.25 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 441 Td ( )Tj ET Q q 264.75 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 441 Td ( )Tj ET Q q 281.25 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 441 Td ( )Tj ET Q q 297.75 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 441 Td ( )Tj ET Q q 314.25 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 441 Td ( )Tj ET Q q 330.75 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 441 Td ( )Tj ET Q q 347.25 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 441 Td ( )Tj ET Q q 363.75 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 441 Td ( )Tj ET Q q 380.25 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 441 Td ( )Tj ET Q q 396.75 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 441 Td ( )Tj ET Q q 412.5 438.75 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 441 Td ( )Tj ET Q q 429 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 441 Td ( )Tj ET Q q 445.5 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 441 Td ( )Tj ET Q q 458.25 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 441 Td ( )Tj ET Q q 474 438.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 441 Td ( )Tj ET Q 150.75 439.5 0.75 9.75 re f BT /TT3 8.25 Tf 0.0435 Tc 137.25 431.25 Td (A)Tj 0 Tc 0.1875 Tw 6 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 14.25 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 166.5 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 431.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 178.5 431.25 Td (1)Tj ET q 183 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 431.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 194.25 431.25 Td (0)Tj ET q 198.75 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 431.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 431.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 215.25 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 431.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 227.25 431.25 Td (3)Tj ET q 231.75 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 431.25 Td ( )Tj ET Q q 248.25 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 431.25 Td ( )Tj ET Q q 264.75 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 431.25 Td ( )Tj ET Q q 281.25 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 431.25 Td ( )Tj ET Q q 297.75 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 431.25 Td ( )Tj ET Q q 314.25 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 431.25 Td ( )Tj ET Q q 330.75 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 431.25 Td ( )Tj ET Q q 347.25 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 431.25 Td ( )Tj ET Q q 363.75 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 431.25 Td ( )Tj ET Q q 380.25 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 431.25 Td ( )Tj ET Q q 396.75 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 431.25 Td ( )Tj ET Q q 412.5 429 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 431.25 Td ( )Tj ET Q q 429 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 431.25 Td ( )Tj ET Q q 445.5 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 431.25 Td ( )Tj ET Q q 458.25 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 431.25 Td ( )Tj ET Q q 474 429 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 431.25 Td ( )Tj ET Q 150.75 429.75 0.75 9.75 re f BT /TT3 8.25 Tf 0.3315 Tc 137.25 421.5 Td (G)Tj 0 Tc 0.1875 Tw 6.75 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 13.5 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 166.5 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 421.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 178.5 421.5 Td (0)Tj ET q 183 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 421.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 189.75 421.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 198.75 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 421.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 421.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 215.25 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 421.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 227.25 421.5 Td (0)Tj ET q 231.75 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 421.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 243.75 421.5 Td (5)Tj ET q 248.25 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 421.5 Td ( )Tj ET Q q 264.75 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 421.5 Td ( )Tj ET Q q 281.25 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 421.5 Td ( )Tj ET Q q 297.75 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 421.5 Td ( )Tj ET Q q 314.25 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 421.5 Td ( )Tj ET Q q 330.75 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 421.5 Td ( )Tj ET Q q 347.25 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 421.5 Td ( )Tj ET Q q 363.75 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 421.5 Td ( )Tj ET Q q 380.25 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 421.5 Td ( )Tj ET Q q 396.75 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 421.5 Td ( )Tj ET Q q 412.5 419.25 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 421.5 Td ( )Tj ET Q q 429 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 421.5 Td ( )Tj ET Q q 445.5 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 421.5 Td ( )Tj ET Q q 458.25 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 421.5 Td ( )Tj ET Q q 474 419.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 421.5 Td ( )Tj ET Q 150.75 419.25 0.75 10.5 re f BT /TT3 8.25 Tf 0.0435 Tc 137.25 411 Td (N)Tj 0 Tc 0.1875 Tw 6 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 14.25 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 166.5 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 411 Td ( )Tj ET Q BT /TT0 8.25 Tf 178.5 411 Td (1)Tj ET q 183 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 411 Td ( )Tj ET Q BT /TT0 8.25 Tf 194.25 411 Td (0)Tj ET q 198.75 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 411 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 411 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 215.25 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 411 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 411 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 231.75 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 411 Td ( )Tj ET Q BT /TT0 8.25 Tf 243.75 411 Td (0)Tj ET q 248.25 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 411 Td ( )Tj ET Q BT /TT0 8.25 Tf 260.25 411 Td (4)Tj ET q 264.75 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 411 Td ( )Tj ET Q q 281.25 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 411 Td ( )Tj ET Q q 297.75 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 411 Td ( )Tj ET Q q 314.25 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 411 Td ( )Tj ET Q q 330.75 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 411 Td ( )Tj ET Q q 347.25 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 411 Td ( )Tj ET Q q 363.75 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 411 Td ( )Tj ET Q q 380.25 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 411 Td ( )Tj ET Q q 396.75 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 411 Td ( )Tj ET Q q 412.5 408.75 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 411 Td ( )Tj ET Q q 429 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 411 Td ( )Tj ET Q q 445.5 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 411 Td ( )Tj ET Q q 458.25 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 411 Td ( )Tj ET Q q 474 408.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 411 Td ( )Tj ET Q 150.75 409.5 0.75 9.75 re f BT /TT3 8.25 Tf 0.0435 Tc 137.25 401.25 Td (D)Tj 0 Tc 0.1875 Tw 6 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 14.25 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 166.5 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 401.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 178.5 401.25 Td (0)Tj ET q 183 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 401.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 189.75 401.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 198.75 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 401.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 401.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 215.25 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 401.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 401.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 231.75 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 401.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 401.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 248.25 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 401.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 260.25 401.25 Td (1)Tj ET q 264.75 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 401.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 276.75 401.25 Td (4)Tj ET q 281.25 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 401.25 Td ( )Tj ET Q q 297.75 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 401.25 Td ( )Tj ET Q q 314.25 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 401.25 Td ( )Tj ET Q q 330.75 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 401.25 Td ( )Tj ET Q q 347.25 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 401.25 Td ( )Tj ET Q q 363.75 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 401.25 Td ( )Tj ET Q q 380.25 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 401.25 Td ( )Tj ET Q q 396.75 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 401.25 Td ( )Tj ET Q q 412.5 399 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 401.25 Td ( )Tj ET Q q 429 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 401.25 Td ( )Tj ET Q q 445.5 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 401.25 Td ( )Tj ET Q q 458.25 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 401.25 Td ( )Tj ET Q q 474 399 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 401.25 Td ( )Tj ET Q 150.75 399.75 0.75 9.75 re f BT /TT3 8.25 Tf -0.2527 Tc 137.25 391.5 Td (E)Tj 0 Tc 0.1875 Tw 4.5 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 15.75 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 166.5 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 391.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 174 391.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 183 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 391.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 189.75 391.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 198.75 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 391.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 391.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 215.25 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 391.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 391.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 231.75 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 391.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 391.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 248.25 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 391.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 260.25 391.5 Td (0)Tj ET q 264.75 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 391.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 276.75 391.5 Td (2)Tj ET q 281.25 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 391.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 293.25 391.5 Td (4)Tj ET q 297.75 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 391.5 Td ( )Tj ET Q q 314.25 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 391.5 Td ( )Tj ET Q q 330.75 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 391.5 Td ( )Tj ET Q q 347.25 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 391.5 Td ( )Tj ET Q q 363.75 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 391.5 Td ( )Tj ET Q q 380.25 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 391.5 Td ( )Tj ET Q q 396.75 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 391.5 Td ( )Tj ET Q q 412.5 389.25 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 391.5 Td ( )Tj ET Q q 429 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 391.5 Td ( )Tj ET Q q 445.5 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 391.5 Td ( )Tj ET Q q 458.25 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 391.5 Td ( )Tj ET Q q 474 389.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 391.5 Td ( )Tj ET Q 150.75 389.25 0.75 10.5 re f BT /TT3 8.25 Tf 0.3315 Tc 137.25 381 Td (Q)Tj 0 Tc 0.1875 Tw 7.5 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 12.75 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 166.5 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 381 Td ( )Tj ET Q BT /TT0 8.25 Tf 178.5 381 Td (0)Tj ET q 183 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 381 Td ( )Tj ET Q BT /TT0 8.25 Tf 194.25 381 Td (0)Tj ET q 198.75 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 381 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 381 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 215.25 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 381 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 381 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 231.75 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 381 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 381 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 248.25 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 381 Td ( )Tj ET Q BT /TT0 8.25 Tf 260.25 381 Td (1)Tj ET q 264.75 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 381 Td ( )Tj ET Q BT /TT0 8.25 Tf 276.75 381 Td (0)Tj ET q 281.25 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 381 Td ( )Tj ET Q BT /TT0 8.25 Tf 293.25 381 Td (0)Tj ET q 297.75 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 381 Td ( )Tj ET Q BT /TT0 8.25 Tf 309.75 381 Td (5)Tj ET q 314.25 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 381 Td ( )Tj ET Q q 330.75 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 381 Td ( )Tj ET Q q 347.25 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 381 Td ( )Tj ET Q q 363.75 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 381 Td ( )Tj ET Q q 380.25 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 381 Td ( )Tj ET Q q 396.75 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 381 Td ( )Tj ET Q q 412.5 378.75 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 381 Td ( )Tj ET Q q 429 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 381 Td ( )Tj ET Q q 445.5 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 381 Td ( )Tj ET Q q 458.25 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 381 Td ( )Tj ET Q q 474 378.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 381 Td ( )Tj ET Q 150.75 379.5 0.75 9.75 re f BT /TT3 8.25 Tf 0.3315 Tc 137.25 371.25 Td (H)Tj 0 Tc 0.1875 Tw 6.75 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 13.5 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 166.5 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 371.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 174 371.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 183 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 371.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 194.25 371.25 Td (0)Tj ET q 198.75 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 371.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 371.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 215.25 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 371.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 371.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 231.75 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 371.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 371.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 248.25 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 371.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 260.25 371.25 Td (2)Tj ET q 264.75 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 371.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 272.25 371.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 281.25 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 371.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 288.75 371.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 297.75 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 371.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 309.75 371.25 Td (1)Tj ET q 314.25 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 371.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 326.25 371.25 Td (8)Tj ET q 330.75 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 371.25 Td ( )Tj ET Q q 347.25 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 371.25 Td ( )Tj ET Q q 363.75 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 371.25 Td ( )Tj ET Q q 380.25 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 371.25 Td ( )Tj ET Q q 396.75 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 371.25 Td ( )Tj ET Q q 412.5 369 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 371.25 Td ( )Tj ET Q q 429 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 371.25 Td ( )Tj ET Q q 445.5 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 371.25 Td ( )Tj ET Q q 458.25 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 371.25 Td ( )Tj ET Q q 474 369 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 371.25 Td ( )Tj ET Q 150.75 369.75 0.75 9.75 re f BT /TT3 8.25 Tf 0.0435 Tc 137.25 361.5 Td (R)Tj 0 Tc 0.1875 Tw 6 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 14.25 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 166.5 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 361.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 174 361.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 183 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 361.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 189.75 361.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 198.75 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 361.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 361.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 215.25 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 361.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 361.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 231.75 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 361.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 361.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 248.25 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 361.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 260.25 361.5 Td (0)Tj ET q 264.75 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 361.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 272.25 361.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 281.25 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 361.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 288.75 361.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 297.75 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 361.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 309.75 361.5 Td (1)Tj ET q 314.25 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 361.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 326.25 361.5 Td (0)Tj ET q 330.75 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 361.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 342.75 361.5 Td (5)Tj ET q 347.25 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 361.5 Td ( )Tj ET Q q 363.75 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 361.5 Td ( )Tj ET Q q 380.25 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 361.5 Td ( )Tj ET Q q 396.75 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 361.5 Td ( )Tj ET Q q 412.5 359.25 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 361.5 Td ( )Tj ET Q q 429 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 361.5 Td ( )Tj ET Q q 445.5 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 361.5 Td ( )Tj ET Q q 458.25 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 361.5 Td ( )Tj ET Q q 474 359.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 361.5 Td ( )Tj ET Q 150.75 359.25 0.75 10.5 re f BT /TT3 8.25 Tf 0.3315 Tc 137.25 351 Td (K)Tj 0 Tc 0.1875 Tw 6 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 14.25 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 166.5 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 351 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 174 351 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 183 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 351 Td ( )Tj ET Q BT /TT0 8.25 Tf 194.25 351 Td (0)Tj ET q 198.75 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 351 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 351 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 215.25 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 351 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 351 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 231.75 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 351 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 351 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 248.25 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 351 Td ( )Tj ET Q BT /TT0 8.25 Tf 260.25 351 Td (0)Tj ET q 264.75 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 351 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 272.25 351 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 281.25 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 351 Td ( )Tj ET Q BT /TT0 8.25 Tf 293.25 351 Td (0)Tj ET q 297.75 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 351 Td ( )Tj ET Q BT /TT0 8.25 Tf 309.75 351 Td (0)Tj ET q 314.25 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 351 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 321.75 351 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 330.75 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 351 Td ( )Tj ET Q BT /TT0 8.25 Tf 342.75 351 Td (2)Tj ET q 347.25 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 351 Td ( )Tj ET Q BT /TT0 8.25 Tf 359.25 351 Td (4)Tj ET q 363.75 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 351 Td ( )Tj ET Q q 380.25 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 351 Td ( )Tj ET Q q 396.75 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 351 Td ( )Tj ET Q q 412.5 348.75 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 351 Td ( )Tj ET Q q 429 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 351 Td ( )Tj ET Q q 445.5 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 351 Td ( )Tj ET Q q 458.25 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 351 Td ( )Tj ET Q q 474 348.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 351 Td ( )Tj ET Q 150.75 349.5 0.75 9.75 re f BT /TT3 8.25 Tf -0.28799 Tc 137.25 341.25 Td (M)Tj 0 Tc 0.1875 Tw 7.5 0 Td ( )Tj /TT0 8.25 Tf 0.375 Tc 0 Tw 17.25 0 Td (0)Tj ET q 166.5 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 174 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 183 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 189.75 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 198.75 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 215.25 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 231.75 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 248.25 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 255.75 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 264.75 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 272.25 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 281.25 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 288.75 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 297.75 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 305.25 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 314.25 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 321.75 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 330.75 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 338.25 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 347.25 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 341.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 354.75 341.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 363.75 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 341.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 375.75 341.25 Td (7)Tj ET q 380.25 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 341.25 Td ( )Tj ET Q q 396.75 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 341.25 Td ( )Tj ET Q q 412.5 339 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 341.25 Td ( )Tj ET Q q 429 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 341.25 Td ( )Tj ET Q q 445.5 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 341.25 Td ( )Tj ET Q q 458.25 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 341.25 Td ( )Tj ET Q q 474 339 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 341.25 Td ( )Tj ET Q 150.75 339.75 0.75 9.75 re f BT /TT3 8.25 Tf -0.2092 Tc 137.25 331.5 Td (I)Tj 0 Tc 0.1875 Tw 3 0 Td ( )Tj /TT0 8.25 Tf 0.375 Tc 0 Tw 21.75 0 Td (0)Tj ET q 166.5 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 174 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 183 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 189.75 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 198.75 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 215.25 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 231.75 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (5)Tj ET q 248.25 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 255.75 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 264.75 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 272.25 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 281.25 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 288.75 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 297.75 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 305.25 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 314.25 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 321.75 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 330.75 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 338.25 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 347.25 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 331.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 354.75 331.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 363.75 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 331.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 375.75 331.5 Td (1)Tj ET q 380.25 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 331.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 392.25 331.5 Td (4)Tj ET q 396.75 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 331.5 Td ( )Tj ET Q q 412.5 329.25 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 331.5 Td ( )Tj ET Q q 429 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 331.5 Td ( )Tj ET Q q 445.5 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 331.5 Td ( )Tj ET Q q 458.25 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 331.5 Td ( )Tj ET Q q 474 329.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 331.5 Td ( )Tj ET Q 150.75 329.25 0.75 10.5 re f BT /TT3 8.25 Tf -0.2527 Tc 137.25 321 Td (L)Tj 0 Tc 0.1875 Tw 5.25 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 15 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 166.5 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 174 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 183 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 189.75 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 198.75 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 215.25 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 231.75 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 248.25 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 255.75 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 264.75 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 272.25 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 281.25 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 288.75 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 297.75 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 305.25 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 314.25 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 321.75 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 330.75 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 338.25 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 347.25 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 321 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 354.75 321 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 363.75 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 321 Td ( )Tj ET Q BT /TT0 8.25 Tf 375.75 321 Td (2)Tj ET q 380.25 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 321 Td ( )Tj ET Q BT /TT0 8.25 Tf 392.25 321 Td (2)Tj ET q 396.75 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 321 Td ( )Tj ET Q BT /TT0 8.25 Tf 408 321 Td (4)Tj ET q 412.5 318.75 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 321 Td ( )Tj ET Q q 429 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 321 Td ( )Tj ET Q q 445.5 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 321 Td ( )Tj ET Q q 458.25 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 321 Td ( )Tj ET Q q 474 318.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 321 Td ( )Tj ET Q 150.75 319.5 0.75 9.75 re f BT /TT3 8.25 Tf 0.0435 Tc 137.25 311.25 Td (V)Tj 0 Tc 0.1875 Tw 6 0 Td ( )Tj /TT0 8.25 Tf 0.375 Tc 0 Tw 18.75 0 Td (1)Tj ET q 166.5 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 311.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 174 311.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 183 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 311.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 194.25 311.25 Td (0)Tj ET q 198.75 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 311.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 311.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 215.25 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 311.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 227.25 311.25 Td (0)Tj ET q 231.75 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 311.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 311.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 248.25 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 311.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 255.75 311.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 264.75 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 311.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 272.25 311.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 281.25 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 311.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 288.75 311.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 297.75 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 311.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 305.25 311.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 314.25 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 311.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 321.75 311.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 330.75 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 311.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 338.25 311.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 347.25 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 311.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 354.75 311.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 363.75 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 311.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 375.75 311.25 Td (1)Tj ET q 380.25 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 311.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 392.25 311.25 Td (3)Tj ET q 396.75 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 311.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 408 311.25 Td (1)Tj ET q 412.5 309 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 311.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 424.5 311.25 Td (4)Tj ET q 429 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 311.25 Td ( )Tj ET Q q 445.5 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 311.25 Td ( )Tj ET Q q 458.25 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 311.25 Td ( )Tj ET Q q 474 309 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 311.25 Td ( )Tj ET Q 150.75 309.75 0.75 9.75 re f BT /TT3 8.25 Tf 0.2092 Tc 137.25 301.5 Td (F)Tj 0 Tc 0.1875 Tw 4.5 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 15.75 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 166.5 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 301.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 174 301.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 183 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 301.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 189.75 301.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 198.75 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 301.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 301.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 215.25 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 301.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 301.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 231.75 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 301.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 301.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 248.25 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 301.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 255.75 301.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 264.75 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 301.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 272.25 301.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 281.25 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 301.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 288.75 301.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 297.75 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 301.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 305.25 301.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 314.25 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 301.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 326.25 301.5 Td (0)Tj ET q 330.75 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 301.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 338.25 301.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 347.25 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 301.5 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 354.75 301.5 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 363.75 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 301.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 375.75 301.5 Td (1)Tj ET q 380.25 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 301.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 392.25 301.5 Td (1)Tj ET q 396.75 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 301.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 408 301.5 Td (1)Tj ET q 412.5 299.25 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 301.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 424.5 301.5 Td (0)Tj ET q 429 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 301.5 Td ( )Tj ET Q BT /TT0 8.25 Tf 441 301.5 Td (7)Tj ET q 445.5 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 301.5 Td ( )Tj ET Q q 458.25 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 301.5 Td ( )Tj ET Q q 474 299.25 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 301.5 Td ( )Tj ET Q 150.75 299.25 0.75 10.5 re f BT /TT3 8.25 Tf 0.0435 Tc 137.25 291 Td (Y)Tj 0 Tc 0.1875 Tw 6 0 Td ( )Tj /TT0 8.25 Tf 0.375 Tc 0 Tw 18.75 0 Td (0)Tj ET q 166.5 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 174 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 183 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 189.75 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 198.75 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 215.25 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 231.75 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 248.25 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 255.75 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 264.75 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 272.25 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 281.25 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 288.75 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 297.75 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 291 Td ( )Tj ET Q BT /TT0 8.25 Tf 309.75 291 Td (0)Tj ET q 314.25 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 291 Td ( )Tj ET Q BT /TT0 8.25 Tf 326.25 291 Td (2)Tj ET q 330.75 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 338.25 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 347.25 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 354.75 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 363.75 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 371.25 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 380.25 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 291 Td ( )Tj ET Q BT /TT0 8.25 Tf 392.25 291 Td (0)Tj ET q 396.75 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 291 Td ( )Tj ET Q BT /TT0 8.25 Tf 408 291 Td (0)Tj ET q 412.5 288.75 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 291 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 420 291 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 429 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 291 Td ( )Tj ET Q BT /TT0 8.25 Tf 441 291 Td (4)Tj ET q 445.5 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 291 Td ( )Tj ET Q BT /TT0 8.25 Tf 453.75 291 Td (8)Tj ET q 458.25 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 291 Td ( )Tj ET Q q 474 288.75 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 291 Td ( )Tj ET Q 150.75 289.5 0.75 9.75 re f BT /TT3 8.25 Tf 0 Tc 137.25 281.25 Td (W)Tj 0.1875 Tw 9 0 Td ( )Tj /TT2 8.25 Tf -0.0293 Tc 0 Tw 11.25 0 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (5)Tj ET q 166.5 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 166.5 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 174 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 183 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 183 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 189.75 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (5)Tj ET q 198.75 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 198.75 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 206.25 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 215.25 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 215.25 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 222.75 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (5)Tj ET q 231.75 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 231.75 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 239.25 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 248.25 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 248.25 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 255.75 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 264.75 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 264.75 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 272.25 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 281.25 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 281.25 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 288.75 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 297.75 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 297.75 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 305.25 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 314.25 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 314.25 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 321.75 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 330.75 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 330.75 281.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 342.75 281.25 Td (0)Tj ET q 347.25 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 347.25 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 354.75 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (3)Tj ET q 363.75 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 363.75 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 371.25 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 380.25 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 380.25 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 387.75 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 396.75 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 396.75 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 403.5 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (2)Tj ET q 412.5 279 1.5 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 412.5 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 420 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (4)Tj ET q 429 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 429 281.25 Td ( )Tj ET Q BT /TT2 8.25 Tf -0.0293 Tc 436.5 281.25 Td (-)Tj /TT0 8.25 Tf 0.375 Tc 4.5 0 Td (1)Tj ET q 445.5 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 445.5 281.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 453.75 281.25 Td (3)Tj ET q 458.25 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 458.25 281.25 Td ( )Tj ET Q BT /TT0 8.25 Tf 465 281.25 Td (13)Tj ET q 474 279 0.75 10.5 re h W n BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 474 281.25 Td ( )Tj ET Q 150.75 279.75 0.75 9.75 re f BT /TT0 8.25 Tf 0 Tc 0.1875 Tw 137.25 270.75 Td ( )Tj /TT3 8.25 Tf 0.0435 Tc 0 Tw 22.5 0 Td (C)Tj ET q 166.5 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 166.5 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf -0.08701 Tc 177.75 270.75 Td (S)Tj ET q 183 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 183 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf -0.2527 Tc 194.25 270.75 Td (T)Tj ET q 198.75 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 198.75 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 0.2092 Tc 210 270.75 Td (P)Tj ET q 215.25 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 215.25 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 0.0435 Tc 225.75 270.75 Td (A)Tj ET q 231.75 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 231.75 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 0.3315 Tc 241.5 270.75 Td (G)Tj ET q 248.25 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 248.25 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 0.0435 Tc 258.75 270.75 Td (N)Tj ET q 264.75 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 264.75 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 275.25 270.75 Td (D)Tj ET q 281.25 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 281.25 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf -0.2527 Tc 293.25 270.75 Td (E)Tj ET q 297.75 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 297.75 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 0.3315 Tc 306.75 270.75 Td (Q)Tj ET q 314.25 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 314.25 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 324 270.75 Td (H)Tj ET q 330.75 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 330.75 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 0.0435 Tc 341.25 270.75 Td (R)Tj ET q 347.25 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 347.25 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 0.3315 Tc 357.75 270.75 Td (K)Tj ET q 363.75 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 363.75 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf -0.28799 Tc 372.75 270.75 Td (M)Tj ET q 380.25 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 380.25 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf -0.2092 Tc 393.75 270.75 Td (I)Tj ET q 396.75 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 396.75 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf -0.2527 Tc 407.25 270.75 Td (L)Tj ET q 412.5 269.25 1.5 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 412.5 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 0.0435 Tc 423 270.75 Td (V)Tj ET q 429 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 429 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 0.2092 Tc 441 270.75 Td (F)Tj ET q 445.5 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 445.5 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 0.0435 Tc 452.25 270.75 Td (Y)Tj ET q 458.25 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0 Tc 0.1875 Tw 458.25 270.75 Td ( )Tj ET Q BT /TT3 8.25 Tf 0 Tc 465 270.75 Td (W)Tj ET q 474 269.25 0.75 9.75 re h W n BT /TT3 8.25 Tf 0.1875 Tw 474 270.75 Td ( )Tj ET Q 135 279 15.75 0.75 re f 150.75 279 0.75 0.75 re f 151.5 279 15.75 0.75 re f 167.25 279 0.75 0.75 re f 168 279 15.75 0.75 re f 183.75 279 0.75 0.75 re f 184.5 279 15 0.75 re f 199.5 279 0.75 0.75 re f 200.25 279 15.75 0.75 re f 216 279 0.75 0.75 re f 216.75 279 15.75 0.75 re f 232.5 279 0.75 0.75 re f 233.25 279 15.75 0.75 re f 249 279 0.75 0.75 re f 249.75 279 15.75 0.75 re f 265.5 279 0.75 0.75 re f 266.25 279 15.75 0.75 re f 282 279 0.75 0.75 re f 282.75 279 15.75 0.75 re f 298.5 279 0.75 0.75 re f 299.25 279 15.75 0.75 re f 315 279 0.75 0.75 re f 315.75 279 15.75 0.75 re f 331.5 279 0.75 0.75 re f 332.25 279 15.75 0.75 re f 348 279 0.75 0.75 re f 348.75 279 15.75 0.75 re f 364.5 279 0.75 0.75 re f 365.25 279 15.75 0.75 re f 381 279 0.75 0.75 re f 381.75 279 15.75 0.75 re f 397.5 279 0.75 0.75 re f 398.25 279 15.75 0.75 re f 414 279 0.75 0.75 re f 414.75 279 15 0.75 re f 429.75 279 0.75 0.75 re f 430.5 279 15.75 0.75 re f 446.25 279 0.75 0.75 re f 447 279 12 0.75 re f 459 279 0.75 0.75 re f 459.75 279 15 0.75 re f 150.75 269.25 0.75 9.75 re f BT /TT0 8.25 Tf 0.1875 Tw 171.75 262.5 Td ( )Tj 0.0027 Tc 0.1848 Tw 87.75 -9.75 Td (Figure 3. )Tj /TT1 6.75 Tf 0.32919 Tc 0 Tw 32.25 0 Td (DISORDER)Tj /TT1 8.25 Tf 0.1599 Tc 0.0276 Tw 35.25 0 Td ( matrix)Tj /TT0 12 Tf 0 Tc 0 Tw 24.75 0 Td ( )Tj /TT0 9.75 Tf -0.1875 Tw -198 -12 Td ( )Tj 0.0665 Tc 0.871 Tw T* (To compare )Tj /TT0 8.25 Tf 0 Tc 0 Tw 53.25 0 Td (DISORDER)Tj /TT0 9.75 Tf 0.1149 Tc 1.1976 Tw 40.5 0 Td ( with the other scoring matrices, we measured the pe)Tj -0.2467 Tc 0 Tw 222 0 Td (r-)Tj 0.21049 Tc -333.75 -12 Td (for)Tj -0.08549 Tc 11.25 0 Td (m)Tj 0.1268 Tc 0.1472 Tw 6.75 0 Td (ance of each with varying gap penalties and saved the best performing ex\ ample )Tj 0.19679 Tc 0.36571 Tw -18 -12 Td (in each case. The gap)Tj -0.2467 Tc 0 Tw 89.25 0 Td (-)Tj 0.1763 Tc 0.3862 Tw 3 0 Td (opening penalty was varied o)Tj 0.0728 Tc -0.04601 Tw 120.75 0 Td (ver the range from 1 through 14 )Tj 0.13969 Tc 1.17281 Tw -213 -12 Td (\(in steps of 0.5\), and the gap)Tj -0.2467 Tc 0 Tw 122.25 0 Td (-)Tj 0.0574 Tc 1.0885 Tw 3 0 Td (extension penalty was varied from 0.5 through 2 \(in )Tj 0.056 Tc 0.35651 Tw -125.25 -12 Td (steps of 0.5\). The resulting matrices are ranked in Table 2. From the d\ efinition given )Tj 0.1714 Tc 0.3911 Tw T* (in section )Tj /TT1 9.75 Tf -0.0625 Tc 0 Tw 42.75 0 Td (2.7)Tj /TT0 9.75 Tf 0.1537 Tc 0.4088 Tw 12.75 0 Td (, it is evident that the cumulative scor)Tj 0.2142 Tc -0.18739 Tw 154.5 0 Td (e depends on the set of matrices )Tj 0.145 Tc 1.48 Tw -210 -12 Td (being evaluated. Thus, the cumulative score values in Tables 1 and 2 ca)Tj 0.375 Tc 0 Tw 307.5 0 Td (n)Tj 0.31709 Tc 0.24541 Tw 5.25 0 Td (not be )Tj ET q /GS0 gs /Fm0 Do Q endstream endobj 103 0 obj 137 endobj 104 0 obj<>/ProcSet[/PDF/Text]>>/Subtype/Form/FormType 1/Matrix[1.0 0.0 0.0 1.0 0.0 0.0]/PieceInfo<>>>stream 0 g 0 i BT /TT0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 8 0 0 8 208.40401 748 Tm (Pacific Symposium on Biocomputing 7:589-600 \(2002\) )Tj ET endstream endobj 105 0 obj<> endobj 106 0 obj 11873 endobj 107 0 obj<>stream 0 0 0 rg 1 i BT /TT0 12 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 135.75 131.25 Td ( )Tj /TT0 9.75 Tf 0.0741 Tc 1.6134 Tw 0 506.25 TD (compared directly: only the rankings are important. The )Tj /TT0 8.25 Tf 0 Tc 0 Tw 239.25 0 Td (DISORDER)Tj /TT0 9.75 Tf -0.0565 Tc 1.369 Tw 40.5 0 Td ( matrix outpe)Tj -0.2467 Tc 0 Tw 54 0 Td (r-)Tj 0.158 Tc 0.4045 Tw -333.75 -12 Td (forms the others, but changes in the gap penalties alter the ranki)Tj 0.1994 Tc -0.3869 Tw 264 0 Td (ng of the other m)Tj 0.3371 Tc 0 Tw 68.25 0 Td (a-)Tj 0.2366 Tc 0.8259 Tw -332.25 -12 Td (trices so that )Tj /TT0 8.25 Tf -0.1046 Tc 0 Tw 58.5 0 Td (BLOSUM)Tj /TT0 9.75 Tf -0.375 Tc 33.75 0 Td (62)Tj 0.2058 Tc 0.46381 Tw 9 0 Td ( now becomes better than the others. )Tj /TT0 8.25 Tf 0 Tc 0 Tw 156.75 0 Td (DISORDER)Tj /TT0 9.75 Tf -0.125 Tc 0.6875 Tw 40.5 0 Td ( only ma)Tj -0.2467 Tc 0 Tw 35.25 0 Td (r-)Tj 0.05589 Tc 0.13161 Tw -333.75 -12 Td (ginally outperforms )Tj /TT0 8.25 Tf -0.1046 Tc 0 Tw 80.25 0 Td (BLOSUM)Tj /TT0 9.75 Tf -0.375 Tc 0.1875 Tw 33.75 0 Td (62 )Tj 0.10609 Tc -0.29359 Tw 11.25 0 Td (by the cumulative score mea)Tj -0.0428 Tc 0 Tw 113.25 0 Td (s)Tj 0.02789 Tc -0.21539 Tw 4.5 0 Td (ure. )Tj 0 Tc -0.1875 Tw 19.5 0 Td ( )Tj -262.5 -12 Td ( )Tj /TT0 8.25 Tf 0.1825 Tc 0.005 Tw 0 -10.5 TD (Table 2. )Tj /TT1 8.25 Tf 0.0816 Tc -0.0191 Tw 30.75 0 Td (Comparative performance of matrices with optimized gap penalties for all\ test proteins )Tj -0.7412 Tc 0.1787 Tw 297.75 0 Td (with )Tj 0.1371 Tc 0.0504 Tw -292.5 -9.75 Td (average sequence identity with the training s)Tj 0.08701 Tc 0 Tw 153.75 0 Td (e)Tj 0.1812 Tc 0.0063 Tw 3.75 0 Td (quences less than 50%)Tj 0 Tc 0.1875 Tw 78.75 0 Td ( )Tj /TT0 9.75 Tf -0.1875 Tw -263.25 -9.75 Td ( )Tj 8.25 -96.75 Td ( )Tj 0.0836 Tc 0.7289 Tw 0 -12 TD (The distribution of scores for different HMMs were compared \(Fig. 4\). \ Shaded )Tj 0.2421 Tc 1.0704 Tw -17.25 -12 Td (bars represent the nu)Tj -0.08549 Tc 0 Tw 89.25 0 Td (m)Tj 0.1557 Tc 0.5318 Tw 6.75 0 Td (ber of test proteins for which the)Tj /TT0 8.25 Tf 0 Tc 0.9375 Tw 135.75 0 Td ( DISORDER)Tj /TT0 9.75 Tf -0.0383 Tc 0.6008 Tw 43.5 0 Td ( matrix obtained )Tj 0.20551 Tc 0.35699 Tw -275.25 -12 Td (higher scores when aligned to the appr)Tj 0.375 Tc 0 Tw 159.75 0 Td (o)Tj -0.0118 Tc 0.3243 Tw 5.25 0 Td (priate HMM, while )Tj 0.1759 Tc -0.3634 Tw 78.75 0 Td (white bars represent the )Tj 0.0715 Tc 0.3035 Tw -243.75 -12 Td (same number for the )Tj /TT0 8.25 Tf -0.1046 Tc 0 Tw 86.25 0 Td (BLOSUM)Tj /TT0 9.75 Tf -0.375 Tc 33.75 0 Td (62)Tj 0.10451 Tc 0.20799 Tw 9 0 Td ( matrix. These comparisons are plotted as a function )Tj 0.153 Tc 0.871 Tw -129 -12 Td (of average sequence identity \(quantized into 10 bins\) as defined above\ , in the d)Tj 0.3371 Tc 0 Tw 332.25 0 Td (e-)Tj 0.1236 Tc -0.3111 Tw -332.25 -12 Td (scription of Table 1, but without any thres)Tj 0.375 Tc 0 Tw 168 0 Td (h)Tj 0.0255 Tc -0.213 Tw 5.25 0 Td (old. )Tj 0 Tc -0.1875 Tw 17.25 0 Td ( )Tj /TT0 9 Tf 0 Tw -120 -11.25 Td ( )Tj ET 1 1 1 rg 240.75 243.75 162 128.25 re f 1 1 1 RG 0.75 w 10 M 1 j 1 J []0 d 240.75 244.5 161.25 127.5 re S 0 0 0 RG 240.75 372 m 402.75 372 l S 240.75 243.75 m 402.75 243.75 l 402.75 372 l S 240.75 243.75 m 240.75 372 l S 240.75 243.75 m 402.75 243.75 l S 240.75 243.75 m 240.75 372 l S 254.25 243.75 m 254.25 245.25 l S 254.25 372 m 254.25 370.5 l S 0 0 0 rg BT /TT2 5.22 Tf 0.0977 Tc 250.5 237 Td (10)Tj ET q 256.5 234.75 1.5 7.5 re h W n BT /TT0 9 Tf 0 Tc 256.5 236.25 Td ( )Tj ET Q 267.75 243.75 m 267.75 245.25 l S 267.75 372 m 267.75 370.5 l S BT /TT2 5.22 Tf 264 237 Td (20)Tj ET q 270 234 1.5 8.25 re h W n BT /TT0 9 Tf 0 Tc 270 236.25 Td ( )Tj ET Q 281.25 243.75 m 281.25 245.25 l S 281.25 372 m 281.25 370.5 l S BT /TT2 5.22 Tf 277.5 237 Td (30)Tj ET q 283.5 235.5 1.5 6.75 re h W n BT /TT0 9 Tf 0 Tc 283.5 236.25 Td ( )Tj ET Q 294.75 243.75 m 294.75 245.25 l S 294.75 372 m 294.75 370.5 l S BT /TT2 5.22 Tf 291 237 Td (40)Tj ET q 297 234 3.75 8.25 re h W n BT /TT0 9 Tf 0 Tc 297 236.25 Td ( )Tj ET Q 307.5 243.75 m 307.5 245.25 l S 307.5 372 m 307.5 370.5 l S BT /TT2 5.22 Tf 304.5 237 Td (50)Tj ET q 310.5 234.75 2.25 7.5 re h W n BT /TT0 9 Tf 0 Tc 310.5 236.25 Td ( )Tj ET Q 321.75 243.75 m 321.75 245.25 l S 321.75 372 m 321.75 370.5 l S BT /TT2 5.22 Tf 318 237 Td (60)Tj ET q 324 234.75 2.25 7.5 re h W n BT /TT0 9 Tf 0 Tc 324 236.25 Td ( )Tj ET Q 335.25 243.75 m 335.25 245.25 l S 335.25 372 m 335.25 370.5 l S BT /TT2 5.22 Tf 331.5 237 Td (70)Tj ET q 337.5 234.75 3 7.5 re h W n BT /TT0 9 Tf 0 Tc 337.5 236.25 Td ( )Tj ET Q 348.75 243.75 m 348.75 245.25 l S 348.75 372 m 348.75 370.5 l S BT /TT2 5.22 Tf 345 237 Td (80)Tj ET q 351 234.75 3 7.5 re h W n BT /TT0 9 Tf 0 Tc 351 236.25 Td ( )Tj ET Q 362.25 243.75 m 362.25 245.25 l S 362.25 372 m 362.25 370.5 l S BT /TT2 5.22 Tf 358.5 237 Td (90)Tj ET q 364.5 234 3 8.25 re h W n BT /TT0 9 Tf 0 Tc 364.5 236.25 Td ( )Tj ET Q 375.75 243.75 m 375.75 245.25 l S 375.75 372 m 375.75 370.5 l S BT /TT2 5.22 Tf 370.5 237 Td (100)Tj ET q 379.5 234.75 1.5 7.5 re h W n BT /TT0 9 Tf 0 Tc 379.5 236.25 Td ( )Tj ET Q 240.75 243.75 m 242.25 243.75 l S 402.75 243.75 m 401.25 243.75 l S BT /TT2 5.22 Tf 236.25 241.5 Td (0)Tj ET q 239.25 239.25 2.25 7.5 re h W n BT /TT0 9 Tf 0 Tc 239.25 240 Td ( )Tj ET Q 240.75 264.75 m 242.25 264.75 l S 402.75 264.75 m 401.25 264.75 l S BT /TT2 5.22 Tf 234 262.5 Td (20)Tj ET q 239.25 261 3 6.75 re h W n BT /TT0 9 Tf 0 Tc 239.25 261.75 Td ( )Tj ET Q 240.75 286.5 m 242.25 286.5 l S 402.75 286.5 m 401.25 286.5 l S BT /TT2 5.22 Tf 234 284.25 Td (40)Tj ET q 239.25 282 3 7.5 re h W n BT /TT0 9 Tf 0 Tc 239.25 282.75 Td ( )Tj ET Q 240.75 307.5 m 242.25 307.5 l S 402.75 307.5 m 401.25 307.5 l S BT /TT2 5.22 Tf 234 306 Td (60)Tj ET q 239.25 303.75 3 7.5 re h W n BT /TT0 9 Tf 0 Tc 239.25 304.5 Td ( )Tj ET Q 240.75 329.25 m 242.25 329.25 l S 402.75 329.25 m 401.25 329.25 l S BT /TT2 5.22 Tf 234 327 Td (80)Tj ET q 239.25 325.5 3 6.75 re h W n BT /TT0 9 Tf 0 Tc 239.25 326.25 Td ( )Tj ET Q 240.75 351 m 242.25 351 l S 402.75 351 m 401.25 351 l S BT /TT2 5.22 Tf 231 348.75 Td (100)Tj ET q 240 346.5 2.25 7.5 re h W n BT /TT0 9 Tf 0 Tc 240 347.25 Td ( )Tj ET Q 240.75 372 m 242.25 372 l S 402.75 372 m 401.25 372 l S BT /TT2 5.22 Tf 231 369.75 Td (120)Tj ET q 240 368.25 2.25 6.75 re h W n BT /TT0 9 Tf 0 Tc 240 369 Td ( )Tj ET Q 240.75 372 m 402.75 372 l S 240.75 243.75 m 402.75 243.75 l 402.75 372 l S 240.75 243.75 m 240.75 372 l S 0.5882 0.5882 0.5882 rg 277.5 243.75 3 21 re f 277.5 244.5 2.25 20.25 re S 291 243.75 3 63.75 re f 291 244.5 2.25 63 re S 304.5 243.75 3 112.5 re f 304.5 244.5 2.25 111.75 re S 318 243.75 3 24.75 re f 318 244.5 2.25 24 re S 331.5 243.75 3 19.5 re f 331.5 244.5 2.25 18.75 re S 345 243.75 3 23.25 re f 345 244.5 2.25 22.5 re S 358.5 243.75 3 19.5 re f 358.5 244.5 2.25 18.75 re S 1 1 1 rg 281.25 243.75 3 23.25 re f 281.25 244.5 2.25 22.5 re S 294.75 243.75 3 47.25 re f 294.75 244.5 2.25 46.5 re S 308.25 243.75 3 57.75 re f 308.25 244.5 3 57 re S 321.75 243.75 3 24.75 re f 321.75 244.5 3 24 re S 335.25 243.75 3 12 re f 335.25 244.5 2.25 11.25 re S 348.75 243.75 3 15 re f 348.75 244.5 2.25 14.25 re S 362.25 243.75 3 30 re f 362.25 244.5 2.25 29.25 re S q 218.25 245.25 9 120.75 re h W n 0 0 0 rg BT /TT0 6.75 Tf 0.0108 Tc -0.0733 Tw 0 1 -1 0 225 245.25 Tm (Number of test sequences with higher scores)Tj ET Q 0 0 0 rg BT /TT0 6.75 Tf 0 Tc -0.1875 Tw 0 1 -1 0 225 366 Tm ( )Tj -0.0585 Tc -0.129 Tw 1 0 0 1 0 0 Tm 291.75 224.25 Td (Sequence identity \(%\))Tj 0 Tc -0.1875 Tw 59.25 0 Td ( )Tj /TT0 12 Tf 0 Tw 53.25 -4.5 Td ( )Tj /TT0 8.25 Tf 0.0027 Tc 0.1848 Tw -210 -6.75 Td (Figure 4. )Tj /TT1 8.25 Tf 0.2403 Tc -0.0528 Tw 32.25 0 Td (Comparing )Tj /TT1 6.75 Tf 0.32919 Tc 0.23331 Tw 42 0 Td (DISORDER )Tj /TT1 8.25 Tf 0.2527 Tc 0 Tw 36.75 0 Td (\()Tj 0.2756 Tc -0.0881 Tw 3 0 Td (shaded\) and )Tj /TT1 6.75 Tf 0.313 Tc 0 Tw 45.75 0 Td (BLOSUM)Tj /TT1 8.25 Tf 0.375 Tc -0.1875 Tw 28.5 0 Td (62 )Tj 0.28619 Tc 0 Tw 11.25 0 Td (\(open\))Tj /TT3 9.75 Tf 0 Tc -0.1875 Tw 23.25 0 Td ( )Tj /TT0 9.75 Tf 0.1151 Tc 0.8224 Tw -264 -24 Td (Since the )Tj /TT0 8.25 Tf 0 Tc 0 Tw 43.5 0 Td (DISORDER)Tj /TT0 9.75 Tf 0.03481 Tc 1.46519 Tw 40.5 0 Td ( matrix exhibited the best performance, we further r)Tj 0.17101 Tc 0 Tw 213.75 0 Td (e)Tj 0.0428 Tc 0.5197 Tw 4.5 0 Td (fined )Tj 0.1064 Tc -0.2939 Tw -319.5 -12 Td (its gap penalties. 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In reference\ 13, matrices )Tj 0.1315 Tc 0.96671 Tw 0 -12 TD (were tested on an independent dataset of 504 blocks and the matrix that \ correctly )Tj 0.145 Tc 1.1675 Tw T* (classified a query block to its gr)Tj 0.10941 Tc 0.82809 Tw 135.75 0 Td (oup the most times for a given level of statistical )Tj 0.05231 Tc 1.26019 Tw -135.75 -12 Td (significance was declared the winner. In reference 24,)Tj /TT0 6.75 Tf 0 Tc -0.1875 Tw 222 4.5 Td ( )Tj /TT0 9.75 Tf 0.0396 Tc 0.5229 Tw 3 -4.5 Td (a scoring matrix was created )Tj 0.03481 Tc 1.65269 Tw -225 -12 Td (by maximizing the ability of the system to di)Tj -0.0428 Tc 0 Tw 189 0 Td (s)Tj 0.0484 Tc 1.2641 Tw 4.5 0 Td (criminate between homol)Tj 0.375 Tc 0 Tw 102 0 Td (o)Tj 0.3933 Tc 0.5442 Tw 5.25 0 Td (gous and )Tj 0.375 Tc 0 Tw -300.75 -12 Td (non)Tj -0.2467 Tc 15.75 0 Td (-)Tj 0.15669 Tc 1.15581 Tw 3 0 Td (homologous proteins. 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The idea \ behind our )Tj 0.0215 Tc 1.39819 Tw T* (evaluation protocol was to mimic how the matrix would likely be used, na\ mely in )Tj 0.1685 Tc -0.356 Tw T* (connection with position)Tj -0.2467 Tc 0 Tw 99.75 0 Td (-)Tj 0.05321 Tc -0.24071 Tw 3 0 Td (specific modeling.)Tj 0 Tc -0.1875 Tw 72 0 Td ( )Tj 4.5 0 Td ( )Tj 0.2468 Tc 0 Tw -162 -12 Td (R)Tj 0.0428 Tc 6 0 Td (eport)Tj -0.0428 Tc 21 0 Td (s)Tj 0.1028 Tc 0.6097 Tw 4.5 0 Td ( on new matrices usually )Tj 0.1851 Tc 0.3774 Tw 105 0 Td (contain )Tj 0.1219 Tc 0.4406 Tw 33 0 Td (calculations of the average mutual i)Tj 0.4391 Tc 0 Tw 144.75 0 Td (n-)Tj 0.08839 Tc 1.52409 Tw -331.5 -12 Td (formation \(relative entropy, transinformation\) and the expected score.\ The higher )Tj 0.3311 Tc 0.9814 Tw T* (values of the a)Tj 0.375 Tc 0 Tw 63 0 Td (v)Tj 0.0199 Tc 0.82381 Tw 5.25 0 Td (erage mutual information indicate that the matrix is )Tj 0.2999 Tc 0 Tw 210.75 0 Td (better)Tj 0.2504 Tc 0.3121 Tw 23.25 0 Td ( adjusted )Tj 0.2919 Tc -0.4794 Tw -302.25 -12 Td (to shorte)Tj 0.1765 Tc -0.364 Tw 36 0 Td (r evolutionary distances. 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The e)Tj 0.375 Tc 0 Tw 282 0 Td (x)Tj 0.2588 Tc 0.3037 Tw 3.75 0 Td (pected )Tj 0.2175 Tc -0.405 Tw -312.75 -12 Td (score obtained for)Tj 0.2785 Tc -0.466 Tw 72.75 0 Td ( the)Tj 0 Tc -0.1875 Tw 15 0 Td ( )Tj /TT0 8.25 Tf 0 Tw 2.25 0 Td (DISORDER)Tj /TT0 9.75 Tf -0.2451 Tc 0.3076 Tw 40.5 0 Td ( matrix is )Tj 0.375 Tc 0 Tw 36.75 0 Td (\226)Tj -0.3 Tc 5.25 0 Td (0.43.)Tj 0 Tc -0.1875 Tw 18 0 Td ( )Tj 0.1266 Tc 1.1859 Tw -173.25 -12 Td (During the course of designing matrices we have noticed that there is)Tj -0.02139 Tc 1.33389 Tw 293.25 0 Td ( only)Tj 0.17101 Tc 0.01649 Tw 21.75 0 Td ( a )Tj 0.0692 Tc 0.6183 Tw -332.25 -12 Td (small dependence on any individual family i)Tj 0.16701 Tc 0.39549 Tw 179.25 0 Td (n the training set \(leaving out any ind)Tj -0.35361 Tc 0 Tw 155.25 0 Td (i-)Tj 0.1349 Tc 0.9097 Tw -334.5 -12 Td (vidual family did not change things much\), which basically enabled us t\ o test the )Tj 0.13361 Tc 0.99139 Tw T* (matrices on the training set. Also, differences in cross)Tj -0.2467 Tc 0 Tw 225 0 Td (-)Tj 0.0696 Tc 0.3054 Tw 3 0 Td (validation steps were small. )Tj 0.2347 Tc 0.8278 Tw -228 -12 Td (We have repeated )Tj 0.0392 Tc 1.0233 Tw 79.5 0 Td (the matrix design procedure)Tj -0.4035 Tc 0.966 Tw 114 0 Td ( wit)Tj 0.375 Tc 0.1875 Tw 15 0 Td (h )Tj /TT0 8.25 Tf 0.1516 Tc 0 Tw 8.25 0 Td (IDENT)Tj /TT0 9.75 Tf -0.0276 Tc 0.5901 Tw 26.25 0 Td ( as the initial matrix and )Tj 0.0623 Tc 0.5002 Tw -243 -12 Td (the final results were different )Tj 0.2303 Tc 0 Tw 124.5 0 Td (at)Tj 0.17751 Tc 0.2778 Tw 7.5 0 Td ( several positions and at most for )Tj /TT3 9.75 Tf -0.1028 Tc 0 Tw 139.5 0 Td (\261)Tj /TT0 9.75 Tf -0.0329 Tc -0.1546 Tw 5.25 0 Td (1. The max)Tj 0.28951 Tc 0 Tw 42 0 Td (i)Tj -0.43201 Tc -0.50549 Tw 2.25 0 Td (mum )Tj 0.0713 Tc 0.1824 Tw -321 -12 Td (number of iterations was set to 10, but usually a matrix will converge f\ ast to its local )Tj ET q /GS0 gs /Fm0 Do Q endstream endobj 113 0 obj 137 endobj 114 0 obj<>/ProcSet[/PDF/Text]>>/Subtype/Form/FormType 1/Matrix[1.0 0.0 0.0 1.0 0.0 0.0]/PieceInfo<>>>stream 0 g 0 i BT /TT0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 8 0 0 8 208.40401 748 Tm (Pacific Symposium on Biocomputing 7:589-600 \(2002\) )Tj ET endstream endobj 115 0 obj<> endobj 116 0 obj 7768 endobj 117 0 obj<>stream 0 0 0 rg 1 i BT /TT0 12 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 135.75 131.25 Td ( )Tj /TT0 9.75 Tf 0.10719 Tc 1.95531 Tw 0 506.25 TD (optimum in 4)Tj -0.2467 Tc 0 Tw 55.5 0 Td (-)Tj 0.054 Tc 0.8835 Tw 3 0 Td (7 iterations. )Tj 0.2028 Tc 1.1097 Tw 52.5 0 Td (In the current paper)Tj -0.0976 Tc 1.4101 Tw 83.25 0 Td (, the matrix was optimized fo)Tj 0.28951 Tc 0 Tw 119.25 0 Td (l)Tj 0.03419 Tc 0.52831 Tw 2.25 0 Td (lowed )Tj 0.0392 Tc 1.4097 Tw -315.75 -12 Td (by a separate optimization of gap penalties. Future research will explor\ e optimiz)Tj 0.3371 Tc 0 Tw 332.25 0 Td (a-)Tj 0.11501 Tc 0.53571 Tw -332.25 -12 Td (tion of a matrix and gap penalties at the same time, a procedure that sh\ ould lead to )Tj 0.03751 Tc 0.6322 Tw 0 -12 TD (improved alignments. Also, we will continue to enlarg)Tj 0.257 Tc 0.3055 Tw 219.75 0 Td (e the database of i)Tj 0.375 Tc 0 Tw 75.75 0 Td (n)Tj 0 Tc 0.5625 Tw 5.25 0 Td (trinsically )Tj 0.17999 Tc -0.36749 Tw -300.75 -12 Td (disordered segments, which at the very least should improve the statisti\ cs.)Tj 0 Tc -0.1875 Tw 297.75 0 Td ( )Tj 0.0883 Tc 1.0742 Tw -280.5 -12 Td (The quality of multiple alignments is improved by using the )Tj /TT0 8.25 Tf 0 Tc 0 Tw 253.5 0 Td (DISORDER)Tj /TT0 9.75 Tf -0.3421 Tc 0.4046 Tw 40.5 0 Td ( matrix. )Tj 0.14101 Tc 0.85899 Tw -311.25 -12 Td (Even though the new gap penalties are smaller than are typically used )Tj 0.08549 Tc 0.47701 Tw 294.75 0 Td (for ordered )Tj 0.1964 Tc 0.09331 Tw -294.75 -12 Td (protein sequences, the average number of gaps in aligned disordered sequ\ ences a)Tj 0.3371 Tc 0 Tw 332.25 0 Td (c-)Tj 0.1888 Tc 0.1862 Tw -332.25 -12 Td (tually decreases when the )Tj /TT0 8.25 Tf 0 Tc 0 Tw 108.75 0 Td (DISORDER)Tj /TT0 9.75 Tf 0.1008 Tc 0.189 Tw 40.5 0 Td ( matrix is used. When PAM 001 is used to ca)Tj -0.35361 Tc 0 Tw 185.25 0 Td (l-)Tj 0.175 Tc 0.3125 Tw -334.5 -12 Td (culate pairwise genetic distances between sequences aligned by either th\ e )Tj /TT0 8.25 Tf -0.02631 Tc 0 Tw 305.25 0 Td (GONNET)Tj /TT0 9.75 Tf 0 Tc -0.1875 Tw 34.5 0 Td ( )Tj 0.13921 Tc 0.42329 Tw -339.75 -12 Td (or t)Tj 0.27299 Tc -0.46049 Tw 14.25 0 Td (he )Tj /TT0 8.25 Tf 0 Tc 0 Tw 12.75 0 Td (DISORDER)Tj /TT0 9.75 Tf 0.1461 Tc -0.22639 Tw 40.5 0 Td ( matrices, the average distances of disordered s)Tj 0.17101 Tc 0 Tw 189.75 0 Td (e)Tj 0.2276 Tc -0.1651 Tw 4.5 0 Td (quences aligned by )Tj 0.2785 Tc -0.466 Tw -261.75 -12 Td (the )Tj /TT0 8.25 Tf 0 Tc 0 Tw 15 0 Td (DISORDER)Tj /TT0 9.75 Tf -0.0858 Tc -0.1017 Tw 40.5 0 Td ( matrix are smaller than for )Tj /TT0 8.25 Tf 0.09869 Tc 0.83881 Tw 105.75 0 Td (GONNET )Tj /TT0 9.75 Tf 0.19389 Tc -0.38139 Tw 36.75 0 Td (\(data not shown\).)Tj 0 Tc -0.1875 Tw 70.5 0 Td ( )Tj 0.1508 Tc 0.1617 Tw -251.25 -12 Td (Over the last several years, we have published several predictors of nat\ ural di)Tj 0.60519 Tc 0 Tw 315 0 Td (s-)Tj 0.0768 Tc 1.2357 Tw -332.25 -12 Td (ordered regions \(PONDRs\))Tj /TT0 6.75 Tf 0.375 Tc 0 Tw 110.25 4.5 Td (25)Tj 0.0023 Tc 7.5 0 Td (-)Tj 0.375 Tc 2.25 0 Td (28)Tj /TT0 9.75 Tf -0.1875 Tc 7.5 -4.5 Td (. )Tj 0.1546 Tc 0.8365 Tw 6 0 Td (We envision an approach in which order/disorder )Tj 0.1042 Tc 0.2708 Tw -133.5 -12 Td (predictions are first carried out using the most appropriate PONDR. Duri\ ng the su)Tj 0.4391 Tc 0 Tw 331.5 0 Td (b-)Tj 0.16701 Tc 0.27049 Tw -331.5 -12 Td (sequent HMM \(or profile\) construction process, )Tj /TT0 8.25 Tf -0.1046 Tc 0 Tw 199.5 0 Td (BLOSUM)Tj /TT0 9.75 Tf -0.375 Tc 33.75 0 Td (62)Tj 0.1302 Tc -0.1302 Tw 9 0 Td ( \(or another suitable m)Tj 0.3371 Tc 0 Tw 90 0 Td (a-)Tj 0.0741 Tc 1.51961 Tw -332.25 -12 Td (trix\) would be used as the initial scoring matr)Tj 0.1313 Tc 0.9669 Tw 192 0 Td (ix for those regions predicted to be )Tj 0.1895 Tc 0.373 Tw -192 -12 Td (ordered and )Tj /TT0 8.25 Tf -0.0938 Tc -0.4688 Tw 51.75 0 Td (DISORDER )Tj /TT0 9.75 Tf 0.2132 Tc 0.26601 Tw 43.5 0 Td (would be used for those regions predicted to be di)Tj -0.0428 Tc 0 Tw 207 0 Td (s)Tj 0.0983 Tc -0.2858 Tw 4.5 0 Td (ordered. )Tj 0.1492 Tc 0.7883 Tw -306.75 -12 Td (As the PONDRs and )Tj /TT0 8.25 Tf 0 Tc 0 Tw 89.25 0 Td (DISORDER)Tj /TT0 9.75 Tf 0.10001 Tc 0.46249 Tw 40.5 0 Td ( are improved over time, this approach should yield )Tj 0.0907 Tc -0.2782 Tw -129.75 -12 Td (improved alignments for proteins containing regions of intri)Tj 0.22369 Tc -0.41119 Tw 237.75 0 Td (nsic diso)Tj -0.2467 Tc 0 Tw 36 0 Td (r)Tj 0.02789 Tc 3 0 Td (der.)Tj 0 Tc -0.1875 Tw 15 0 Td ( )Tj /TT1 9.75 Tf -0.1272 Tc 0 Tw -291.75 -29.25 Td (Acknowledgement)Tj 0 Tc -0.1875 Tw 75 0 Td ( )Tj /TT0 9.75 Tf -0.08 Tc 3.205 Tw -75 -26.25 Td (NIH Grant 1R01 LM06916 awarded to AKD and ZO and NSF Grant CSE)Tj -0.2467 Tc 0 Tw 322.5 0 Td (-)Tj -0.2215 Tc 3 0 Td (IIS)Tj -0.2467 Tc 11.25 0 Td (-)Tj -0.00481 Tc 2.5446 Tw -336.75 -12 Td (9711532 awarded to ZO and AKD are gratefully acknowledged. Chris Oldfiel\ d, )Tj 0.1017 Tc 1.0441 Tw T* (Sachiko Takayama and others did yeoman\222s work in developing t)Tj 0.3213 Tc 0.2412 Tw 271.5 0 Td (he database pr)Tj 0.4391 Tc 0 Tw 60 0 Td (o-)Tj 0.0782 Tc 1.38429 Tw -331.5 -12 Td (teins with physically characterized regions of intrinsic disorder. Final\ ly, Slobodan )Tj 0.1468 Tc -0.3343 Tw T* (Vucetic is thanked for numerous helpful discussions.)Tj 0 Tc -0.1875 Tw 211.5 0 Td ( )Tj /TT1 9.75 Tf 0.0276 Tc 0 Tw -211.5 -29.25 Td (References)Tj 0 Tc -0.1875 Tw 46.5 0 Td ( )Tj /TT0 9.75 Tf -0.2813 Tc 0 Tw -46.5 -27 Td (1.)Tj 0 Tc -0.1875 Tw 7.5 0 Td ( )Tj -0.0152 Tc -0.1723 Tw 10.5 0 Td (S. B. Needleman, C. D. Wunsh, )Tj /TT2 9.75 Tf 0.1953 Tc -0.3828 Tw 125.25 0 Td (J. Mol. Biol.)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 49.5 0 Td (, )Tj /TT1 9.75 Tf 0.375 Tc 4.5 0 Td (48)Tj /TT0 9.75 Tf -0.3176 Tc 0.1301 Tw 10.5 0 Td (, 443 \(1970\).)Tj 0 Tc -0.1875 Tw 46.5 0 Td ( )Tj -0.2813 Tc 0 Tw -254.25 -12 Td (2.)Tj 0 Tc -0.1875 Tw 7.5 0 Td ( )Tj -0.0481 Tc -0.1394 Tw 10.5 0 Td (T. Smith,)Tj 0.0544 Tc -0.2419 Tw 35.25 0 Td ( M. Waterman, )Tj /TT2 9.75 Tf 0.1953 Tc -0.3828 Tw 61.5 0 Td (J. Mol. Biol.)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 49.5 0 Td (, )Tj /TT1 9.75 Tf 0.375 Tc 4.5 0 Td (147)Tj /TT0 9.75 Tf -0.3176 Tc 0.1301 Tw 15.75 0 Td (, 195 \(1981\).)Tj 0 Tc -0.1875 Tw 46.5 0 Td ( )Tj -0.2813 Tc 0 Tw -231 -12 Td (3.)Tj 0 Tc -0.1875 Tw 7.5 0 Td ( )Tj -0.01019 Tc -0.17731 Tw 10.5 0 Td (W. Pearson, D. Lipman, )Tj /TT2 9.75 Tf 0.1329 Tc -0.3204 Tw 96 0 Td (Proc. Natl. Acad. Sci. USA)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 107.25 0 Td (, )Tj /TT1 9.75 Tf 0.375 Tc 4.5 0 Td (85)Tj /TT0 9.75 Tf -0.3224 Tc 0.1349 Tw 10.5 0 Td (, 2444 \(1988\).)Tj 0 Tc -0.1875 Tw 51 0 Td ( )Tj -0.2813 Tc 0 Tw -287.25 -12 Td (4.)Tj 0 Tc -0.1875 Tw 7.5 0 Td ( )Tj -0.0555 Tc -0.132 Tw 10.5 0 Td (S. F. Altchul, W. Gish, W. Miller, E. W. Myers, D. J. Lipman, )Tj /TT2 9.75 Tf 0.15849 Tc -0.34599 Tw 240.75 0 Td (J. Mol. Biol)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 47.25 0 Td (., )Tj /TT1 9.75 Tf 0.375 Tc -288 -12 Td (215)Tj /TT0 9.75 Tf -0.3176 Tc 0.1301 Tw 15.75 0 Td (, 403 \(1990\).)Tj 0 Tc -0.1875 Tw 46.5 0 Td ( )Tj -0.2813 Tc 0 Tw -80.25 -12 Td (5.)Tj 0 Tc -0.1875 Tw 7.5 0 Td ( )Tj 0.09 Tc -0.2775 Tw 10.5 0 Td (M. Murata, J. Richardson, J. Sussman, )Tj /TT2 9.75 Tf 0.17329 Tc -0.36079 Tw 154.5 0 Td (Proc. Natl)Tj 0.105 Tc -0.2925 Tw 42 0 Td (. Acad. Sci. USA)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 65.25 0 Td (, )Tj /TT1 9.75 Tf 0.375 Tc 4.5 0 Td (82)Tj /TT0 9.75 Tf -0.33749 Tc 0.14999 Tw 10.5 0 Td (, 3073 )Tj -0.3116 Tc 0 Tw -276.75 -12 Td (\(1985\).)Tj 0 Tc -0.1875 Tw 26.25 0 Td ( )Tj -0.2813 Tc 0 Tw -44.25 -12 Td (6.)Tj 0 Tc -0.1875 Tw 7.5 0 Td ( )Tj 0.064 Tc -0.2515 Tw 10.5 0 Td (D. Gusfield, Algorithms on Strings, Trees, and Sequences, Cambridge Univ\ e)Tj -0.2467 Tc 0 Tw 303 0 Td (r-)Tj 0.0136 Tc -0.2011 Tw -303 -12 Td (sity Press, 1997.)Tj 0 Tc -0.1875 Tw 63.75 0 Td ( )Tj ET q /GS0 gs /Fm0 Do Q endstream endobj 118 0 obj 137 endobj 119 0 obj<>/ProcSet[/PDF/Text]>>/Subtype/Form/FormType 1/Matrix[1.0 0.0 0.0 1.0 0.0 0.0]/PieceInfo<>>>stream 0 g 0 i BT /TT0 1 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 8 0 0 8 208.40401 748 Tm (Pacific Symposium on Biocomputing 7:589-600 \(2002\) )Tj ET endstream endobj 120 0 obj<> endobj 121 0 obj 11125 endobj 122 0 obj<>stream 0 0 0 rg 1 i BT /TT0 12 Tf 0 Tc 0 Tw 0 Ts 100 Tz 0 Tr 135.75 131.25 Td ( )Tj /TT0 9.75 Tf -0.2813 Tc 0 506.25 TD (7.)Tj 0 Tc -0.1875 Tw 7.5 0 Td ( )Tj -0.0168 Tc -0.1707 Tw 10.5 0 Td (J. D. Thompson, D. G. Higgins, T. J. Gibson, )Tj /TT1 9.75 Tf 0.18851 Tc -0.37601 Tw 177 0 Td (Nucleic Acids Research)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 96 0 Td (, )Tj /TT2 9.75 Tf 0.375 Tc 4.5 0 Td (22)Tj /TT0 9.75 Tf -0.33749 Tc 0.14999 Tw 10.5 0 Td (, 4673 )Tj -0.3116 Tc 0 Tw -288 -12 Td (\(1994\).)Tj 0 Tc -0.1875 Tw 26.25 0 Td ( )Tj -0.2813 Tc 0 Tw -44.25 -12 Td (8.)Tj 0 Tc -0.1875 Tw 7.5 0 Td ( )Tj -0.0762 Tc -0.1113 Tw 10.5 0 Td (R. Durbin, S. R. Eddy, A. Krogh, G. Mitchis)Tj 0.1875 Tc -0.375 Tw 171.75 0 Td (on, )Tj /TT1 9.75 Tf 0.2751 Tc -0.4626 Tw 15 0 Td (Biological sequence anal)Tj 0.17101 Tc 0 Tw 104.25 0 Td (y)Tj -0.0107 Tc -0.1768 Tw 4.5 0 Td (sis: )Tj 0.24719 Tc -0.43469 Tw -295.5 -12 Td (probabilistic models of proteins and nucleic acids)Tj /TT0 9.75 Tf -0.0397 Tc -0.1478 Tw 204 0 Td (, Cambridge Unive)Tj -0.2467 Tc 0 Tw 73.5 0 Td (r)Tj 0.1891 Tc -0.3766 Tw 3 0 Td (sity Press, )Tj -0.33749 Tc 0 Tw -280.5 -12 Td (1998.)Tj 0 Tc -0.1875 Tw 20.25 0 Td ( )Tj -0.2813 Tc 0 Tw -38.25 -12 Td (9.)Tj 0 Tc -0.1875 Tw 7.5 0 Td ( )Tj -0.0132 Tc -0.1743 Tw 10.5 0 Td (M. Gribskov, R. Luthy, D. Eisenberg, )Tj /TT1 9.75 Tf 0.1478 Tc -0.3353 Tw 148.5 0 Td (Methods in Enzymo)Tj 0.28951 Tc 0 Tw 79.5 0 Td (l)Tj 0.30701 Tc 3 0 Td (ogy)Tj /TT0 9.75 Tf -0.1875 Tc 15 0 Td (, )Tj /TT2 9.75 Tf 0.375 Tc 4.5 0 Td (183)Tj /TT0 9.75 Tf -0.3176 Tc 0.1301 Tw 15.75 0 Td (, 146 \(1990\).)Tj 0 Tc -0.1875 Tw 46.5 0 Td ( )Tj 0.1875 Tc 0 Tw -330.75 -12 Td (10.)Tj 0 Tc -0.1875 Tw 12.75 0 Td ( )Tj -0.006 Tc -0.1815 Tw 5.25 0 Td (A. Krogh, M. Brown, I. S. Mian, K. Sjolander, D. Haussler, )Tj /TT1 9.75 Tf 0.1953 Tc -0.3828 Tw 233.25 0 Td (J. Mol. Biol.)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 49.5 0 Td (, )Tj /TT2 9.75 Tf 0.375 Tc 4.5 0 Td (235)Tj /TT0 9.75 Tf -0.1875 Tc 15.75 0 Td (, )Tj -0.33459 Tc 0.14709 Tw -303 -12 Td (1501 \(1994\).)Tj 0 Tc -0.1875 Tw 46.5 0 Td ( )Tj 0.1875 Tc 0 Tw -64.5 -12 Td (11.)Tj 0 Tc -0.1875 Tw 12.75 0 Td ( )Tj -0.0556 Tc -0.1319 Tw 5.25 0 Td (M. O. Dayhoff, R. M. Schwartz, B. C. Orcutt, )Tj /TT1 9.75 Tf 0.22369 Tc -0.2612 Tw 177.75 0 Td (Atlas of protein sequence and )Tj -0.0428 Tc 0 Tw -177.75 -12 Td (stru)Tj 0.17101 Tc 15.75 0 Td (c)Tj 0.1982 Tc 4.5 0 Td (ture)Tj /TT0 9.75 Tf -0.1875 Tc 16.5 0 Td (, )Tj /TT2 9.75 Tf 0.375 Tc 4.5 0 Td (5)Tj /TT0 9.75 Tf -0.15109 Tc -0.03641 Tw 5.25 0 Td (, suppl. 3, 345 \(1978\).)Tj 0 Tc -0.1875 Tw 82.5 0 Td ( )Tj 0.1875 Tc 0 Tw -147 -12 Td (12.)Tj 0 Tc -0.1875 Tw 12.75 0 Td ( )Tj -0.0408 Tc -0.1467 Tw 5.25 0 Td (R. M. Schwartz, M. O. Dayhoff, )Tj /TT1 9.75 Tf 0.20979 Tc -0.39729 Tw 126.75 0 Td (Atlas of protein sequence and structure)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 159.75 0 Td (, )Tj /TT2 9.75 Tf 0.375 Tc 4.5 0 Td (5)Tj /TT0 9.75 Tf -0.1875 Tc 5.25 0 Td (, )Tj -0.14909 Tc -0.03841 Tw -296.25 -12 Td (suppl. 3, 353 \(1978\).)Tj 0 Tc -0.1875 Tw 78 0 Td ( )Tj 0.1875 Tc 0 Tw -96 -12 Td (13.)Tj 0 Tc -0.1875 Tw 12.75 0 Td ( )Tj -0.1134 Tc -0.0741 Tw 5.25 0 Td (S. Henikoff, J.)Tj -0.0983 Tc -0.0892 Tw 54.75 0 Td ( Henikoff, )Tj /TT1 9.75 Tf 0.1329 Tc -0.3204 Tw 41.25 0 Td (Proc. Natl. Acad. Sci. USA)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 107.25 0 Td (, )Tj /TT2 9.75 Tf 0.375 Tc 4.5 0 Td (89)Tj /TT0 9.75 Tf -0.3264 Tc 0.1389 Tw 10.5 0 Td (, 10915 \(1992\).)Tj 0 Tc -0.1875 Tw 55.5 0 Td ( )Tj 0.1875 Tc 0 Tw -291.75 -12 Td (14.)Tj 0 Tc -0.1875 Tw 12.75 0 Td ( )Tj 0.0063 Tc -0.1938 Tw 5.25 0 Td (W. J. Wilbur, )Tj /TT1 9.75 Tf 0.27699 Tc -0.46449 Tw 54.75 0 Td (Molecular Biology and Evolution)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 138 0 Td (, )Tj /TT2 9.75 Tf 0.375 Tc 4.5 0 Td (2)Tj /TT0 9.75 Tf -0.3176 Tc 0.1301 Tw 5.25 0 Td (, 434 \(1985\).)Tj 0 Tc -0.1875 Tw 46.5 0 Td ( )Tj 0.1875 Tc 0 Tw -267 -12 Td (15.)Tj 0 Tc -0.1875 Tw 12.75 0 Td ( )Tj -0.0554 Tc -0.1321 Tw 5.25 0 Td (G. Vogt, T. Etzold, P. Argos, )Tj /TT1 9.75 Tf 0.1953 Tc -0.3828 Tw 114 0 Td (J. Mol. Biol.)Tj /TT0 9.75 Tf -0.1875 Tc 0 Tw 49.5 0 Td (, )Tj /TT2 9.75 Tf 0.375 Tc 4.5 0 Td (249)Tj /TT0 9.75 Tf -0.3176 Tc 0.1301 Tw 15.75 0 Td (, 816 \(1995\).)Tj 0 Tc -0.1875 Tw 46.5 0 Td ( )Tj 0.1875 Tc 0 Tw -248.25 -12 Td (16.)Tj 0 Tc -0.1875 Tw 12.75 0 Td ( )Tj 0.00391 Tc -0.19141 Tw 5.25 0 Td (R. Luthy, A. D. McLachlan, D. Eisenberg, )Tj /TT1 9.75 Tf 0.10741 Tc -0.29491 Tw 167.25 0 Td (PROTEINS: Structure, Fun)Tj 0.17101 Tc 0 Tw 109.5 0 Td (c)Tj 0.2283 Tc -0.4158 Tw 4.5 0 Td (tion, )Tj 0.375 Tc 0 Tw -281.25 -12 Td (and)Tj 0.1069 Tc -0.2944 Tw 15.75 0 Td ( Gene)Tj 0.28951 Tc 0 Tw 23.25 0 Td (t)Tj 0.13921 Tc 3 0 Td (ics)Tj /TT0 9.75 Tf -0.1875 Tc 11.25 0 Td (, )Tj /TT2 9.75 Tf 0.375 Tc 4.5 0 Td (10)Tj /TT0 9.75 Tf -0.3176 Tc 0.1301 Tw 10.5 0 Td (, 229 \(1991\).)Tj 0 Tc -0.1875 Tw 46.5 0 Td ( )Tj 0.1875 Tc 0 Tw -132.75 -12 Td (17.)Tj 0 Tc -0.1875 Tw 12.75 0 Td ( )Tj 0.0041 Tc -0.1916 Tw 5.25 0 Td (P. E. Wright, H. J. Dyson, )Tj /TT1 9.75 Tf 0.1953 Tc -0.3828 Tw 103.5 0 Td (J. Mol. Biol.)Tj /TT0 9.75 Tf 0 Tc -0.1875 Tw 49.5 0 Td ( )Tj /TT2 9.75 Tf 0.375 Tc 0 Tw 2.25 0 Td (293)Tj /TT0 9.75 Tf -0.3176 Tc 0.1301 Tw 15.75 0 Td (, 321 \(1999\).)Tj 0 Tc -0.1875 Tw 46.5 0 Td ( )Tj 0.1875 Tc 0 Tw -235.5 -12 Td (18.)Tj 0 Tc -0.1875 Tw 12.75 0 Td ( )Tj -0.0585 Tc -0.129 Tw 5.25 0 Td (R. M. Williams, Z. Obradovic, V. Mathura, W. Braun, E. C. Garner, J. You\ ng, )Tj -0.0432 Tc -0.1443 Tw 0 -12 TD (S. Takayama, C. J. Brown, and A. K. Dunker. )Tj /TT1 9.75 Tf 0.1515 Tc -0.339 Tw 178.5 0 Td (Pacific Symp. Bioco)Tj -0.28951 Tc 0 Tw 81 0 Td (m)Tj 0.2702 Tc -0.4577 Tw 6.75 0 Td (puting, )Tj /TT2 9.75 Tf 0.375 Tc 0 Tw 31.5 0 Td (6)Tj /TT0 9.75 Tf -0.1875 Tc 5.25 0 Td (, )Tj -0.3257 Tc 0.1382 Tw -303 -12 Td (89 \(2001\).)Tj 0 Tc -0.1875 Tw 37.5 0 Td ( )Tj 0.1875 Tc 0 Tw -55.5 -12 Td (19.)Tj 0 Tc -0.1875 Tw 12.75 0 Td ( )Tj 0.03661 Tc -0.22411 Tw 5.25 0 Td (A. K. Dun)Tj -0.11459 Tc -0.07291 Tw 40.5 0 Td (ker, J. D. Lawson, C. J. Brown, R. M. Williams, P. Romero, J. S. 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