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Article: On the Steady States of Uncertain Genetic Regulatory Networks

TitleOn the Steady States of Uncertain Genetic Regulatory Networks
Authors
Issue Date2012
Citation
IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans, 2012, v. 42 n. 4, p. 1020-1024 How to Cite?
AbstractThis correspondence addresses the analysis of the steady states of uncertain genetic regulatory networks (GRNs). The uncertainty is represented as a vector constrained in a given set that affects the coefficients of the mathematical model of the GRN. It is shown how regions containing all possible steady states can be estimated via an iterative strategy that progressively splits the concentration space into smaller sets, discarding those that are guaranteed not to contain equilibrium points of the considered model. This strategy is based on worst case evaluations of some appropriate functions of the uncertainty via linear matrix inequality optimization.
Persistent Identifierhttp://hdl.handle.net/10722/155720
ISSN
2012 Impact Factor: 2.183
2015 SCImago Journal Rankings: 1.458
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.date.accessioned2012-08-08T08:34:59Z-
dc.date.available2012-08-08T08:34:59Z-
dc.date.issued2012en_US
dc.identifier.citationIEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans, 2012, v. 42 n. 4, p. 1020-1024en_US
dc.identifier.issn1083-4427en_US
dc.identifier.urihttp://hdl.handle.net/10722/155720-
dc.description.abstractThis correspondence addresses the analysis of the steady states of uncertain genetic regulatory networks (GRNs). The uncertainty is represented as a vector constrained in a given set that affects the coefficients of the mathematical model of the GRN. It is shown how regions containing all possible steady states can be estimated via an iterative strategy that progressively splits the concentration space into smaller sets, discarding those that are guaranteed not to contain equilibrium points of the considered model. This strategy is based on worst case evaluations of some appropriate functions of the uncertainty via linear matrix inequality optimization.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humansen_US
dc.rights©2012 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.titleOn the Steady States of Uncertain Genetic Regulatory Networksen_US
dc.typeArticleen_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.doi10.1109/TSMCA.2011.2178829en_US
dc.identifier.scopuseid_2-s2.0-84862533320en_US
dc.identifier.hkuros216368-
dc.identifier.isiWOS:000305584400021-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChesi, G=7006328614en_US

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