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Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays: SpringerBriefs in Electrical and Computer Engineering

Autor Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
en Limba Engleză Paperback – 24 mar 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.
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Specificații

ISBN-13: 9783319156057
ISBN-10: 3319156055
Pagini: 94
Ilustrații: XIII, 94 p. 15 illus. in color.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.16 kg
Ediția:2015
Editura: Springer International Publishing
Colecția Birkhäuser
Seriile SpringerBriefs in Electrical and Computer Engineering, SpringerBriefs in Control, Automation and Robotics

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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.

Caracteristici

Includes a concise introduction to the necessary molecular biology for mathematicians Focuses on a deterministic, ODE-based model of GRNs, rather than the more difficult-to-analyze models based on Boolean and Bayesian networks Contains exercises to allow use with graduate-level courses