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Article: Filtering for nonlinear genetic regulatory networks with stochastic disturbances

TitleFiltering for nonlinear genetic regulatory networks with stochastic disturbances
Authors
KeywordsDecay rate
Gene expression
Genetic regulatory network
Stochastic disturbance
Time-delay
Issue Date2008
PublisherIEEE.
Citation
Ieee Transactions On Automatic Control, 2008, v. 53 n. 10, p. 2448-2457 How to Cite?
AbstractIn this paper, the filtering problem is investigated for nonlinear genetic regulatory networks with stochastic disturbances and time delays, where the nonlinear function describing the feedback regulation is assumed to satisfy the sector condition, the stochastic perturbation is in the form of a scalar Brownian motion, and the time delays exist in both the translation process and the feedback regulation process. The purpose of the addressed filtering problem is to estimate the true concentrations of the mRNA and protein. Specifically, we are interested in designing a linear filter such that, in the presence of time delays, stochastic disturbances as well as sector nonlinearities, the filtering dynamics of state estimation for the stochastic genetic regulatory network is exponentially mean square stable with a prescribed decay rate lower bound β. By using the linear matrix inequality (LMI) technique, sufficient conditions are first derived for ensuring the desired filtering performance for the gene regulatory model, and the filter gain is then characterized in terms of the solution to an LMI, which can be easily solved by using standard software packages. A simulation example is exploited in order to illustrate the effectiveness of the proposed design procedures. © 2008 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/58992
ISSN
2015 Impact Factor: 2.777
2015 SCImago Journal Rankings: 4.238
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWang, Zen_HK
dc.contributor.authorLam, Jen_HK
dc.contributor.authorWei, Gen_HK
dc.contributor.authorFraser, Ken_HK
dc.contributor.authorLiu, Xen_HK
dc.date.accessioned2010-05-31T03:41:02Z-
dc.date.available2010-05-31T03:41:02Z-
dc.date.issued2008en_HK
dc.identifier.citationIeee Transactions On Automatic Control, 2008, v. 53 n. 10, p. 2448-2457en_HK
dc.identifier.issn0018-9286en_HK
dc.identifier.urihttp://hdl.handle.net/10722/58992-
dc.description.abstractIn this paper, the filtering problem is investigated for nonlinear genetic regulatory networks with stochastic disturbances and time delays, where the nonlinear function describing the feedback regulation is assumed to satisfy the sector condition, the stochastic perturbation is in the form of a scalar Brownian motion, and the time delays exist in both the translation process and the feedback regulation process. The purpose of the addressed filtering problem is to estimate the true concentrations of the mRNA and protein. Specifically, we are interested in designing a linear filter such that, in the presence of time delays, stochastic disturbances as well as sector nonlinearities, the filtering dynamics of state estimation for the stochastic genetic regulatory network is exponentially mean square stable with a prescribed decay rate lower bound β. By using the linear matrix inequality (LMI) technique, sufficient conditions are first derived for ensuring the desired filtering performance for the gene regulatory model, and the filter gain is then characterized in terms of the solution to an LMI, which can be easily solved by using standard software packages. A simulation example is exploited in order to illustrate the effectiveness of the proposed design procedures. © 2008 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Automatic Controlen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsIEEE Transactions on Automatic Control. Copyright © IEEE.-
dc.rights©2008 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.subjectDecay rateen_HK
dc.subjectGene expressionen_HK
dc.subjectGenetic regulatory networken_HK
dc.subjectStochastic disturbanceen_HK
dc.subjectTime-delayen_HK
dc.titleFiltering for nonlinear genetic regulatory networks with stochastic disturbancesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0018-9286&volume=53&issue=10&spage=2448&epage=2457&date=2008&atitle=Filtering+for+nonlinear+genetic+regulatory+networks+with+stochastic+disturbancesen_HK
dc.identifier.emailLam, J:james.lam@hku.hken_HK
dc.identifier.authorityLam, J=rp00133en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/TAC.2008.2007862en_HK
dc.identifier.scopuseid_2-s2.0-56549098591en_HK
dc.identifier.hkuros164168en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-56549098591&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume53en_HK
dc.identifier.issue10en_HK
dc.identifier.spage2448en_HK
dc.identifier.epage2457en_HK
dc.identifier.isiWOS:000260899600027-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWang, Z=7410037481en_HK
dc.identifier.scopusauthoridLam, J=7201973414en_HK
dc.identifier.scopusauthoridWei, G=25653284200en_HK
dc.identifier.scopusauthoridFraser, K=8986916900en_HK
dc.identifier.scopusauthoridLiu, X=18634784100en_HK

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