Analysis of deterministic cyclic gene regulatory network models with delays

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage92en_US
dc.citation.spage1en_US
dc.contributor.authorAhsen, M. E.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.contributor.authorNiculescu, S. -I.en_US
dc.date.accessioned2018-04-12T13:52:48Z
dc.date.available2018-04-12T13:52:48Z
dc.date.issued2015en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractThis brief examines a deterministic, ODE-based model for gene regulatory networks (GRN) that incorporates nonlinearities and time-delayed feedback. An introductory chapter provides some insights into molecular biology and GRNs. The mathematical tools necessary for studying the GRN model are then reviewed, in particular Hill functions and Schwarzian derivatives. One chapter is devoted to the analysis of GRNs under negative feedback with time delays and a special case of a homogenous GRN is considered. Asymptotic stability analysis of GRNs under positive feedback is then considered in a separate chapter, in which conditions leading to bi-stability are derived. Graduate and advanced undergraduate students and researchers in control engineering, applied mathematics, systems biology and synthetic biology will find this brief to be a clear and concise introduction to the modeling and analysis of GRNs.en_US
dc.identifier.doi10.1007/978-3-319-15606-4en_US
dc.identifier.eisbn978-3-3191-5606-4
dc.identifier.isbn978-3-3191-5605-7
dc.identifier.issn2191-8112
dc.identifier.issn2191-8120
dc.identifier.urihttp://hdl.handle.net/11693/38315
dc.language.isoEnglishen_US
dc.publisherSpringer Publishing Companyen_US
dc.relation.isversionofhttps://doi.org/10.1007/978-3-319-15606-4en_US
dc.source.titleSpringerBriefs in Control, Automation and Roboticsen_US
dc.titleAnalysis of deterministic cyclic gene regulatory network models with delaysen_US
dc.typeBook Chapteren_US
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