Stability analysis of a dynamical model representing gene regulatory networks

Simple item page
buir.contributor.authorÖzbay, Hitay
dc.citation.epage196en_US
dc.citation.issueNumber14en_US
dc.citation.spage191en_US
dc.citation.volumeNumber10en_US
dc.contributor.authorAhsen, M. E.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.contributor.authorNiculescu, S. I.en_US
dc.coverage.spatialNortheastern University, Boston, USA.en_US
dc.date.accessioned2016-02-08T12:12:54Z
dc.date.available2016-02-08T12:12:54Z
dc.date.issued2012en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionPart of special issue: 10th IFAC Workshop on Time Delay Systemsen_US
dc.descriptionConference name: Proceedings of the 10-th IFAC Workshop on Time Delay Systems The International Federation of Automatic Controlen_US
dc.descriptionDate of Conference: 22-24 June 2012en_US
dc.description.abstractIn this paper we perform stability analysis of a class of cyclic biological processes involving time delayed feedback. More precisely, we analyze the genetic regulatory network having nonlinearities with negative Schwarzian derivatives. We derive a set of conditions implying global stability of the genetic regulatory network under positive feedback. As a special case, we also consider homogenous genetic regulatory networks and obtain an appropriate stability condition which depends only on the parameters of the nonlinearity function. © 2012 IFAC.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T12:12:54Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2012en
dc.identifier.doi10.3182/20120622-3-US-4021.00020en_US
dc.identifier.issn1474-6670
dc.identifier.urihttp://hdl.handle.net/11693/28165
dc.language.isoEnglishen_US
dc.relation.isversionofhttps://doi.org/10.3182/20120622-3-US-4021.00020en_US
dc.source.titleInternational Federation of Automatic Control IFAC Proceedings Volumesen_US
dc.subjectAsymptotic stabilityen_US
dc.subjectGene regulatory networksen_US
dc.subjectHill functionsen_US
dc.subjectNonlinear time delay networksen_US
dc.subjectSchwarzian derivativesen_US
dc.subjectBiological processen_US
dc.subjectDynamical modelen_US
dc.subjectGene regulatory networksen_US
dc.subjectGenetic regulatory networksen_US
dc.subjectGlobal stabilityen_US
dc.subjectHill functionen_US
dc.subjectNonlinear time delaysen_US
dc.subjectNonlinearity functionen_US
dc.subjectSchwarzian derivativeen_US
dc.subjectStability analysisen_US
dc.subjectStability conditionen_US
dc.subjectTime-delayed feedbacken_US
dc.subjectAsymptotic stabilityen_US
dc.subjectGenesen_US
dc.subjectTime delayen_US
dc.titleStability analysis of a dynamical model representing gene regulatory networksen_US
dc.typeConference Paperen_US

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
Stability analysis of a dynamical model representing gene regulatory networks.pdf
Size:
236.31 KB
Format:
Adobe Portable Document Format
Description:
Full printable version
Download

Collections

Scholarly Publications - Electrical and Electronics Engineering