{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,13]],"date-time":"2023-09-13T20:15:04Z","timestamp":1694636104458},"reference-count":29,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"vor","delay-in-days":1461,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"funder":[{"DOI":"10.13039\/501100002855","name":"Ministry of Science and Technology of the People's Republic of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002855","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002338","name":"Ministry of Education of the People's Republic of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002338","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Applied Mathematics"],"published-print":{"date-parts":[[2010,1]]},"DOI":"10.1016\/j.aam.2009.03.006","type":"journal-article","created":{"date-parts":[[2009,7,18]],"date-time":"2009-07-18T09:18:07Z","timestamp":1247908687000},"page":"53-70","source":"Crossref","is-referenced-by-count":4,"title":["On the decomposition of k-noncrossing RNA structures"],"prefix":"10.1016","volume":"44","author":[{"given":"Emma Y.","family":"Jin","sequence":"first","affiliation":[]},{"given":"Christian M.","family":"Reidys","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.aam.2009.03.006_bib001","unstructured":"N.T. Cameron, L. Shapiro, Random walks, trees and extensions of Riordan group techniques, talk, in: Annual Joint Mathematics Meetings, Baltimore, MD, US, 2003"},{"key":"10.1016\/j.aam.2009.03.006_bib002","doi-asserted-by":"crossref","first-page":"12733","DOI":"10.1021\/bi00166a004","article-title":"A base-triple structural domain in RNA","volume":"31","author":"Chastain","year":"1992","journal-title":"Biochemistry"},{"issue":"4","key":"10.1016\/j.aam.2009.03.006_bib003","doi-asserted-by":"crossref","first-page":"1555","DOI":"10.1090\/S0002-9947-06-04210-3","article-title":"Crossings and nestings of matchings and partitions","volume":"359","author":"Chen","year":"2007","journal-title":"Trans. Amer. Math. Soc."},{"key":"10.1016\/j.aam.2009.03.006_bib004","doi-asserted-by":"crossref","DOI":"10.37236\/810","article-title":"Crossings and nestings of tangled-diagrams","volume":"15","author":"Chen","year":"2008","journal-title":"Electron. J. Combin."},{"key":"10.1016\/j.aam.2009.03.006_bib005","doi-asserted-by":"crossref","first-page":"2304","DOI":"10.1093\/nar\/22.12.2304","article-title":"Identification and analysis of the pseudoknot containing gag-pro ribosomal frameshift signal of simian retrovirus-1","volume":"22","author":"Dam","year":"1994","journal-title":"Nucl. Acids Res."},{"key":"10.1016\/j.aam.2009.03.006_bib006","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/S0012-365X(01)00121-2","article-title":"A survey of the Fine numbers","volume":"241","author":"Deutsch","year":"2001","journal-title":"Discrete Math."},{"key":"10.1016\/j.aam.2009.03.006_bib007","series-title":"Analytic Combinatorics","author":"Flajolet","year":"2009"},{"key":"10.1016\/j.aam.2009.03.006_bib008","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1023\/A:1022499531492","article-title":"Random walks in Weyl chambers and the decomposition of tensor powers","volume":"2","author":"Grabiner","year":"1993","journal-title":"J. Algebraic Combin."},{"key":"10.1016\/j.aam.2009.03.006_bib009","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1006\/bulm.1998.0085","article-title":"RNA structures with pseudo-knots","volume":"61","author":"Haslinger","year":"1999","journal-title":"Bull. Math. Biol."},{"key":"10.1016\/j.aam.2009.03.006_bib010","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1137\/0139010","article-title":"Computation of generating functions for biological molecules","volume":"39","author":"Howell","year":"1980","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/j.aam.2009.03.006_bib011","doi-asserted-by":"crossref","unstructured":"F.W.D. Huang, W.W.J. Peng, C.M. Reidys, Folding 3-noncrossing RNA pseudoknot structures, J. Comp. Biol. (2009), in press","DOI":"10.1089\/cmb.2008.0194"},{"issue":"1","key":"10.1016\/j.aam.2009.03.006_bib012","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/s11538-007-9240-y","article-title":"Combinatorics of RNA structures with pseudoknots","volume":"70","author":"Jin","year":"2008","journal-title":"Bull. Math. Biol."},{"issue":"4","key":"10.1016\/j.aam.2009.03.006_bib013","doi-asserted-by":"crossref","first-page":"951","DOI":"10.1007\/s11538-007-9265-2","article-title":"Asymptotic enumeration of RNA structures with pseudoknots","volume":"70","author":"Jin","year":"2008","journal-title":"Bull. Math. Biol."},{"key":"10.1016\/j.aam.2009.03.006_bib014","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/j.aam.2008.06.003","article-title":"Combinatorial design of pseudoknot RNA","volume":"42","author":"Jin","year":"2009","journal-title":"Adv. in Appl. Math."},{"key":"10.1016\/j.aam.2009.03.006_bib015","unstructured":"E.Y. Jin, C.M. Reidys, R. Wang, Asymptotic analysis k-noncrossing matchings, 2008, submitted for publication"},{"key":"10.1016\/j.aam.2009.03.006_bib016","first-page":"559","article-title":"A comparison of thermodynamic foldings with comparatively derived structures of 16S and 16S-like rRNAs","volume":"1","author":"Konings","year":"1995","journal-title":"RNA"},{"key":"10.1016\/j.aam.2009.03.006_bib017","first-page":"551","article-title":"Domain structure of the ribozyme from eubacterial ribonuclease P","volume":"2","author":"Loria","year":"1996","journal-title":"RNA"},{"issue":"10","key":"10.1016\/j.aam.2009.03.006_bib018","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1089\/cmb.2008.0121","article-title":"Canonical RNA pseudoknot structures","volume":"15","author":"Ma","year":"2008","journal-title":"J. Comput. Biol."},{"key":"10.1016\/j.aam.2009.03.006_bib019","series-title":"Handbook of Combinatorics, vol. 2","first-page":"1021","article-title":"Asymptotic enumeration methods","author":"Odlyzko","year":"1995"},{"key":"10.1016\/j.aam.2009.03.006_bib020","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1006\/aima.1993.1039","article-title":"Spaces of RNA secondary structures","volume":"101","author":"Penner","year":"1993","journal-title":"Adv. Math."},{"key":"10.1016\/j.aam.2009.03.006_bib021","first-page":"117","article-title":"Formal language theory and biological macromolecules","volume":"vol. 47","author":"Searls","year":"1999"},{"key":"10.1016\/j.aam.2009.03.006_bib022","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/0166-218X(91)90088-E","article-title":"The Riordan group","volume":"34","author":"Shapiro","year":"1991","journal-title":"Discrete Appl. Math."},{"key":"10.1016\/j.aam.2009.03.006_bib023","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/S0195-6698(80)80051-5","article-title":"Differentiably finite power series","volume":"1","author":"Stanley","year":"1980","journal-title":"European J. Combin."},{"key":"10.1016\/j.aam.2009.03.006_bib024","series-title":"Enumerative Combinatorics, vol. 2","author":"Stanley","year":"1999"},{"key":"10.1016\/j.aam.2009.03.006_bib025","doi-asserted-by":"crossref","first-page":"6988","DOI":"10.1073\/pnas.89.15.6988","article-title":"RNA pseudoknots that inhibit human immunodeficiency virus type 1 reverse transcriptase","volume":"89","author":"Tuerk","year":"1992","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10.1016\/j.aam.2009.03.006_bib027","first-page":"167","article-title":"Secondary structure of single-stranded nucleic acids","volume":"1","author":"Waterman","year":"1978","journal-title":"Adv. Math. I (suppl.)"},{"key":"10.1016\/j.aam.2009.03.006_bib028","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1002\/sapm197960291","article-title":"Combinatorics of RNA hairpins and cloverleafs","volume":"60","author":"Waterman","year":"1979","journal-title":"Stud. Appl. Math."},{"key":"10.1016\/j.aam.2009.03.006_bib029","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1016\/0166-218X(92)00038-N","article-title":"Linear trees and RNA secondary structure","volume":"51","author":"Waterman","year":"1994","journal-title":"Discrete Appl. Math."},{"key":"10.1016\/j.aam.2009.03.006_bib030","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/0959-440X(92)90221-R","article-title":"RNA pseudoknots","volume":"2","author":"Westhof","year":"1992","journal-title":"Curr. Opin. Struct. Biol."}],"container-title":["Advances in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0196885809000578?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0196885809000578?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2022,6,26]],"date-time":"2022-06-26T18:07:01Z","timestamp":1656266821000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0196885809000578"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":29,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["S0196885809000578"],"URL":"https:\/\/doi.org\/10.1016\/j.aam.2009.03.006","relation":{},"ISSN":["0196-8858"],"issn-type":[{"value":"0196-8858","type":"print"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}