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Conference Paper: Structure-based determination of equilibrium points of genetic regulatory networks described by differential equation models

TitleStructure-based determination of equilibrium points of genetic regulatory networks described by differential equation models
Authors
Issue Date2009
PublisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1002417
Citation
The 7th Asian Control Conference (ASCC 2009), Hong Kong, China, 27-29 August 2009. In Conference Proceedings, 2009, p. 1363-1368 How to Cite?
AbstractA fundamental problem in systems biology consists of determining the equilibrium points of genetic regulatory networks, since the knowledge of these points is often required in order to investigate important properties such as stability. Unfortunately, this problem amounts to computing the solutions of a system of nonlinear equations, and it is well known that this is a difficult problem as no existing method guarantees to find all solutions. This paper addresses this problem for genetic regulatory networks described by differential equation models. By exploiting the structure of these networks, it is shown that one can derive an iterative strategy for progressively singling out the equilibrium points, which does not rely on the solution of any nonconvex optimization problem, and which guarantees to find all equilibrium points. Some numerical examples with small and large sizes (up to 24 state variables) illustrate the benefits of the proposed strategy with respect to existing methods, which often are unable to provide the sought equilibrium points. ©2009 ACA.
Persistent Identifierhttp://hdl.handle.net/10722/158607
ISBN
References

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2012-08-08T09:00:28Z-
dc.date.available2012-08-08T09:00:28Z-
dc.date.issued2009en_US
dc.identifier.citationThe 7th Asian Control Conference (ASCC 2009), Hong Kong, China, 27-29 August 2009. In Conference Proceedings, 2009, p. 1363-1368en_US
dc.identifier.isbn978-89-956056-9-1-
dc.identifier.urihttp://hdl.handle.net/10722/158607-
dc.description.abstractA fundamental problem in systems biology consists of determining the equilibrium points of genetic regulatory networks, since the knowledge of these points is often required in order to investigate important properties such as stability. Unfortunately, this problem amounts to computing the solutions of a system of nonlinear equations, and it is well known that this is a difficult problem as no existing method guarantees to find all solutions. This paper addresses this problem for genetic regulatory networks described by differential equation models. By exploiting the structure of these networks, it is shown that one can derive an iterative strategy for progressively singling out the equilibrium points, which does not rely on the solution of any nonconvex optimization problem, and which guarantees to find all equilibrium points. Some numerical examples with small and large sizes (up to 24 state variables) illustrate the benefits of the proposed strategy with respect to existing methods, which often are unable to provide the sought equilibrium points. ©2009 ACA.en_US
dc.languageengen_US
dc.publisherIEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1002417-
dc.relation.ispartofAsian Control Conference Proceedingsen_US
dc.rightsAsian Control Conference Proceedings. Copyright © IEEE.-
dc.rights©2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleStructure-based determination of equilibrium points of genetic regulatory networks described by differential equation modelsen_US
dc.typeConference_Paperen_US
dc.identifier.emailChesi, G: chesi@eee.hku.hken_US
dc.identifier.authorityChesi, G=rp00100en_US
dc.description.naturepublished_or_final_versionen_US
dc.identifier.scopuseid_2-s2.0-71449126888en_US
dc.identifier.hkuros230399-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-71449126888&selection=ref&src=s&origin=recordpageen_US
dc.identifier.spage1363en_US
dc.identifier.epage1368en_US
dc.publisher.placeUnited States-
dc.identifier.scopusauthoridChesi, G=7006328614en_US
dc.customcontrol.immutablesml 141212-

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