01173nam--2200397---450-99000182466020331620040706111122.03-540-66286-3000182466USA01000182466(ALEPH)000182466USA0100018246620040706d2000----km-y0itay0103----baengDE||||||||001yyInformation and self-organizationmacroscopic approach to complex systemsHermann Haken2. enlarged ed.Berlin [etc.]Springerc2000XIV, 222 p.24 cm.Springer series in synergetics2001Springer series in synergetics2001001-------2001Sistemi complessiEntropiaTeoria dell'informazione003.7HAKEN,Hermann17714ITsalbcISBD990001824660203316003.7 HAK0029213/CBS003.700113817BKSCIRIVELLI9020040706USA011111Information and self-organization208525UNISA04212nam 22007935 450 991029969930332120200703135414.03-319-15606-310.1007/978-3-319-15606-4(CKB)3710000000360323(EBL)1998212(OCoLC)904131860(SSID)ssj0001452074(PQKBManifestationID)11806905(PQKBTitleCode)TC0001452074(PQKBWorkID)11487831(PQKB)10586291(DE-He213)978-3-319-15606-4(MiAaPQ)EBC1998212(PPN)184495474(EXLCZ)99371000000036032320150225d2015 u| 0engur|n|---|||||txtccrAnalysis of Deterministic Cyclic Gene Regulatory Network Models with Delays /by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu1st ed. 2015.Cham :Springer International Publishing :Imprint: Birkhäuser,2015.1 online resource (104 p.)SpringerBriefs in Control, Automation and Robotics,2192-6786Description based upon print version of record.3-319-15605-5 Includes bibliographical references and index.Preface -- Introduction -- Basic Tools from Systems and Control Theory -- Functions with Negative Schwarzian Derivatives -- Deterministic ODE-Based Model with Time Delay -- Gene Regulatory Networks under Negative Feedback -- Gene Regulatory Networks under Positive Feedback -- Summary and Concluding Remarks -- References.This 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.SpringerBriefs in Control, Automation and Robotics,2192-6786System theoryBiomathematicsGene expressionAutomatic controlRoboticsMechatronicsSystems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Mathematical and Computational Biologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M31000Gene Expressionhttps://scigraph.springernature.com/ontologies/product-market-codes/B12010Control, Robotics, Mechatronicshttps://scigraph.springernature.com/ontologies/product-market-codes/T19000System theory.Biomathematics.Gene expression.Automatic control.Robotics.Mechatronics.Systems Theory, Control.Mathematical and Computational Biology.Gene Expression.Control, Robotics, Mechatronics.576.5Ahsen Mehmet Erenauthttp://id.loc.gov/vocabulary/relators/aut720884Özbay Hitayauthttp://id.loc.gov/vocabulary/relators/autNiculescu Silviu-Iulianauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299699303321Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays2527372UNINA