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Article: Computing equilibrium points of genetic regulatory networks

TitleComputing equilibrium points of genetic regulatory networks
Authors
KeywordsDifferential equation
Equilibrium point
Genetic regulatory network
Limit cycle
Saturation
Issue Date2009
PublisherSpringer Verlag. The Journal's web site is located at http://springerlink.com/content/105633/
Citation
Lecture Notes In Computer Science (Including Subseries Lecture Notes In Artificial Intelligence And Lecture Notes In Bioinformatics), 2009, v. 5750 LNBI, p. 268-282 How to Cite?
AbstractComputing equilibrium points of genetic regulatory networks is a problem of primary importance for numerous investigations in these systems. This paper addresses this problem for differential equation models, with the regulation function expressed in a general form which includes both SUM form and PROD form for saturation functions of any type. Specifically, a recursive algorithm is proposed, which provides at each recursion a region guaranteed to contain all equilibrium points. This region progressively shrinks, and asymptotically converges to the sought set of equilibrium points. Moreover, the proposed algorithm can also allow one to delimit and find limit cycles. Some numerical examples are reported to illustrate and validate the proposed algorithm, including examples where standard mathematical tools fail to compute the sought equilibrium points. © 2009 Springer Berlin Heidelberg.
Persistent Identifierhttp://hdl.handle.net/10722/129200
ISSN
2005 Impact Factor: 0.402
2015 SCImago Journal Rankings: 0.252
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_HK
dc.date.accessioned2010-12-23T08:33:33Z-
dc.date.available2010-12-23T08:33:33Z-
dc.date.issued2009en_HK
dc.identifier.citationLecture Notes In Computer Science (Including Subseries Lecture Notes In Artificial Intelligence And Lecture Notes In Bioinformatics), 2009, v. 5750 LNBI, p. 268-282en_HK
dc.identifier.issn0302-9743en_HK
dc.identifier.urihttp://hdl.handle.net/10722/129200-
dc.description.abstractComputing equilibrium points of genetic regulatory networks is a problem of primary importance for numerous investigations in these systems. This paper addresses this problem for differential equation models, with the regulation function expressed in a general form which includes both SUM form and PROD form for saturation functions of any type. Specifically, a recursive algorithm is proposed, which provides at each recursion a region guaranteed to contain all equilibrium points. This region progressively shrinks, and asymptotically converges to the sought set of equilibrium points. Moreover, the proposed algorithm can also allow one to delimit and find limit cycles. Some numerical examples are reported to illustrate and validate the proposed algorithm, including examples where standard mathematical tools fail to compute the sought equilibrium points. © 2009 Springer Berlin Heidelberg.en_HK
dc.languageengen_US
dc.publisherSpringer Verlag. The Journal's web site is located at http://springerlink.com/content/105633/en_HK
dc.relation.ispartofLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)en_HK
dc.rightsThe original publication is available at www.springerlink.com-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectDifferential equationen_HK
dc.subjectEquilibrium pointen_HK
dc.subjectGenetic regulatory networken_HK
dc.subjectLimit cycleen_HK
dc.subjectSaturationen_HK
dc.titleComputing equilibrium points of genetic regulatory networksen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0302-9743&volume=5750 LNBI&spage=268&epage=282&date=2009&atitle=Computing+equilibrium+points+of+genetic+regulatory+networks Computing+Equilibrium+Points+of+Genetic+Regulatory+Networks-
dc.identifier.emailChesi, G:chesi@eee.hku.hken_HK
dc.identifier.authorityChesi, G=rp00100en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1007/978-3-642-04186-0_12en_HK
dc.identifier.scopuseid_2-s2.0-70450186430en_HK
dc.identifier.hkuros176738en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-70450186430&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume5750 LNBIen_HK
dc.identifier.spage268en_HK
dc.identifier.epage282en_HK
dc.publisher.placeGermanyen_HK
dc.identifier.scopusauthoridChesi, G=7006328614en_HK

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