{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,16]],"date-time":"2024-09-16T13:37:57Z","timestamp":1726493877943},"reference-count":29,"publisher":"Elsevier BV","issue":"11","license":[{"start":{"date-parts":[[2009,11,1]],"date-time":"2009-11-01T00:00:00Z","timestamp":1257033600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,11,1]],"date-time":"2013-11-01T00:00:00Z","timestamp":1383264000000},"content-version":"vor","delay-in-days":1461,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Symbolic Computation"],"published-print":{"date-parts":[[2009,11]]},"DOI":"10.1016\/j.jsc.2008.08.006","type":"journal-article","created":{"date-parts":[[2009,5,15]],"date-time":"2009-05-15T13:19:23Z","timestamp":1242393563000},"page":"1551-1565","source":"Crossref","is-referenced-by-count":149,"title":["Toric dynamical systems"],"prefix":"10.1016","volume":"44","author":[{"given":"Gheorghe","family":"Craciun","sequence":"first","affiliation":[]},{"given":"Alicia","family":"Dickenstein","sequence":"additional","affiliation":[]},{"given":"Anne","family":"Shiu","sequence":"additional","affiliation":[]},{"given":"Bernd","family":"Sturmfels","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.jsc.2008.08.006_b1","series-title":"The Geometry of Population Genetics","volume":"vol. 31","author":"Akin","year":"1979"},{"key":"10.1016\/j.jsc.2008.08.006_b2","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/BF00276066","article-title":"Cycling in simple genetic systems","volume":"13","author":"Akin","year":"1982","journal-title":"J. Math. Biol."},{"issue":"5","key":"10.1016\/j.jsc.2008.08.006_b3","doi-asserted-by":"crossref","first-page":"1464","DOI":"10.1137\/070698282","article-title":"Global asymptotic stability for a class of nonlinear chemical equations","volume":"68","author":"Anderson","year":"2008","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/j.jsc.2008.08.006_b4","first-page":"1317","article-title":"Epistasis and the shape of fitness landscapes","volume":"17","author":"Beerenwinkel","year":"2007","journal-title":"Statist. Sinica"},{"year":"2007","series-title":"Ideals, Varieties and Algorithms","author":"Cox","key":"10.1016\/j.jsc.2008.08.006_b5"},{"issue":"23","key":"10.1016\/j.jsc.2008.08.006_b6","doi-asserted-by":"crossref","first-page":"8697","DOI":"10.1073\/pnas.0602767103","article-title":"Understanding bistability in complex enzyme-driven reaction networks","volume":"103","author":"Craciun","year":"2006","journal-title":"Proc. Natl. Acad. Sci."},{"key":"10.1016\/j.jsc.2008.08.006_b7","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/s10910-006-9075-z","article-title":"Monotone chemical reaction networks","volume":"41","author":"De Leenheer","year":"2007","journal-title":"J. Math. Chem."},{"issue":"3","key":"10.1016\/j.jsc.2008.08.006_b8","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/BF00255665","article-title":"Complex balancing in general kinetic systems","volume":"49","author":"Feinberg","year":"1972","journal-title":"Arch. Ration. Mech. Anal."},{"key":"10.1016\/j.jsc.2008.08.006_b9","unstructured":"Feinberg, M., 1979. Lectures on chemical reaction networks. Notes of Lectures Given at the Mathematics Research Center of the University of Wisconsin. http:\/\/www.che.eng.ohio-state.edu\/~FEINBERG\/LecturesOnReactionNetworks"},{"issue":"10","key":"10.1016\/j.jsc.2008.08.006_b10","doi-asserted-by":"crossref","first-page":"2229","DOI":"10.1016\/0009-2509(87)80099-4","article-title":"Chemical reaction network structure and the stability of complex isothermal reactors I. The deficiency zero and deficiency one theorems","volume":"42","author":"Feinberg","year":"1987","journal-title":"Chem. Eng. Sci."},{"issue":"9","key":"10.1016\/j.jsc.2008.08.006_b11","doi-asserted-by":"crossref","first-page":"1819","DOI":"10.1016\/0009-2509(89)85124-3","article-title":"Necessary and sufficient conditions for detailed balancing in mass action systems of arbitrary complexity","volume":"44","author":"Feinberg","year":"1989","journal-title":"Chem. Eng. Sci."},{"key":"10.1016\/j.jsc.2008.08.006_b12","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1007\/BF00375614","article-title":"Existence and uniqueness of steady states for a class of chemical reaction networks","volume":"132","author":"Feinberg","year":"1995","journal-title":"Arch. Ration. Mech. Anal."},{"key":"10.1016\/j.jsc.2008.08.006_b13","series-title":"Contemporary Mathematics","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1090\/conm\/286\/04754","article-title":"Counting stable solutions of sparse polynomial systems in chemistry","volume":"vol. 286","author":"Gatermann","year":"2001"},{"issue":"3","key":"10.1016\/j.jsc.2008.08.006_b14","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1006\/jsco.2001.0512","article-title":"A family of sparse polynomial systems arising in chemical reaction systems","volume":"33","author":"Gatermann","year":"2002","journal-title":"J. Symbolic Comput."},{"key":"10.1016\/j.jsc.2008.08.006_b15","doi-asserted-by":"crossref","first-page":"252","DOI":"10.1016\/j.aam.2004.04.003","article-title":"Bernstein\u2019s second theorem and Viro\u2019s method for sparse polynomial systems in chemistry","volume":"34","author":"Gatermann","year":"2005","journal-title":"Adv. Appl. Math."},{"key":"10.1016\/j.jsc.2008.08.006_b16","doi-asserted-by":"crossref","first-page":"478","DOI":"10.1016\/j.jtbi.2006.07.023","article-title":"Monotonicity of interleukin-1 receptor-ligand binding with respect to antagonist in the presence of decoy receptor","volume":"244","author":"Gnacadja","year":"2007","journal-title":"J. Theoret. Biol."},{"key":"10.1016\/j.jsc.2008.08.006_b17","unstructured":"Gunawardena, J., 2003. Chemical reaction network theory for in-silico biologists. Technical Report. http:\/\/vcp.med.harvard.edu\/papers\/crnt.pdf"},{"issue":"2","key":"10.1016\/j.jsc.2008.08.006_b18","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/BF00251225","article-title":"General mass action kinetics","volume":"47","author":"Horn","year":"1972","journal-title":"Arch. Ration. Mech. Anal."},{"issue":"3","key":"10.1016\/j.jsc.2008.08.006_b19","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1007\/BF00255664","article-title":"Necessary and sufficient conditions for complex balancing in chemical kinetics","volume":"49","author":"Horn","year":"1972","journal-title":"Arch. Ration. Mech. Anal."},{"key":"10.1016\/j.jsc.2008.08.006_b20","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1098\/rspa.1973.0095","article-title":"Stability and complex balancing in mass-action systems with three complexes","volume":"334","author":"Horn","year":"1973","journal-title":"Proc. Roy. Soc. A"},{"key":"10.1016\/j.jsc.2008.08.006_b21","first-page":"125","article-title":"The dynamics of open reaction systems. Mathematical aspects of chemical and biochemical problems and quantum chemistry","volume":"vol. VIII","author":"Horn","year":"1974"},{"key":"10.1016\/j.jsc.2008.08.006_b22","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/s100970050003","article-title":"The Cayley trick, lifting subdivisions and the Bohne\u2013Dress theorem on zonotopal tilings","volume":"2","author":"Huber","year":"2000","journal-title":"J. Eur. Math. Soc."},{"issue":"12","key":"10.1016\/j.jsc.2008.08.006_b23","article-title":"Efficient classification of complete parameter regions based on semidefinite programming","volume":"8","author":"Kuepfer","year":"2007","journal-title":"BMC Bioinform."},{"year":"2005","series-title":"Algebraic Statistics for Computational Biology","author":"Pachter","key":"10.1016\/j.jsc.2008.08.006_b24"},{"key":"10.1016\/j.jsc.2008.08.006_b25","doi-asserted-by":"crossref","unstructured":"Rabinovich, Y., Sinclair, A., Wigderson, A., 1992. Quadratic dynamical systems. In: Proc. 33rd Annual Symposium on Foundations of Computer Science, FOCS, pp. 304\u2013313","DOI":"10.1109\/SFCS.1992.267761"},{"key":"10.1016\/j.jsc.2008.08.006_b26","first-page":"413","article-title":"Global stability of deficiency zero chemical networks","volume":"2","author":"Siegel","year":"1994","journal-title":"Canad. Appl. Math. Quart."},{"key":"10.1016\/j.jsc.2008.08.006_b27","doi-asserted-by":"crossref","first-page":"1028","DOI":"10.1109\/9.935056","article-title":"Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction","volume":"46","author":"Sontag","year":"2001","journal-title":"IEEE Trans. Automat. Control"},{"year":"1999","series-title":"Enumerative Combinatorics, vol. 2","author":"Stanley","key":"10.1016\/j.jsc.2008.08.006_b28"},{"key":"10.1016\/j.jsc.2008.08.006_b29","series-title":"Gr\u00f6bner Bases and Convex Polytopes","volume":"vol. 8","author":"Sturmfels","year":"1996"}],"container-title":["Journal of Symbolic Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0747717109000923?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0747717109000923?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T00:49:42Z","timestamp":1558313382000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0747717109000923"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,11]]},"references-count":29,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2009,11]]}},"alternative-id":["S0747717109000923"],"URL":"https:\/\/doi.org\/10.1016\/j.jsc.2008.08.006","relation":{},"ISSN":["0747-7171"],"issn-type":[{"type":"print","value":"0747-7171"}],"subject":[],"published":{"date-parts":[[2009,11]]}}}