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Book Cover
Author Ahsen, Mehmet Eren, author

Title Analysis of deterministic cyclic gene regulatory network models with delays / Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Published Cham : Birkhäuser, 2015


Description 1 online resource (xiii, 94 pages) : color illustrations
Series SpringerBriefs in electrical and computer engineering, Control, automation and robotics, 2191-8112
SpringerBriefs in electrical and computer engineering. Control, automation and robotics.
Contents 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
Summary 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
Analysis mathematische biologie
mathematical biology
gene expression
control theory
Mathematics (General)
Wiskunde (algemeen)
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed March 4, 2015)
Subject Gene regulatory networks -- Mathematical models
Gene regulatory networks -- Computer simulation
Gene regulatory networks.
Gene Regulatory Networks
Maths for scientists.
Medical genetics.
Automatic control engineering.
Cybernetics & systems theory.
SCIENCE -- Life Sciences -- Genetics & Genomics.
Gene regulatory networks
Form Electronic book
Author Özbay, Hitay, author.
Niculescu, Silviu-Iulian, author.
ISBN 9783319156064