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Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays

BuchKartoniert, Paperback
94 Seiten
Englisch
Springererschienen am24.03.2015
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.mehr
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Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-3-319-15605-7
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2015
Erscheinungsdatum24.03.2015
ReiheSpringerBriefs in Control, Automation and Robotics
Seiten94 Seiten
SpracheEnglisch
Gewicht197 g
IllustrationenXIII, 94 p. 15 illus. in color.
Artikel-Nr.33726860

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr

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