Analysis of deterministic cyclic gene regulatory network models with delays /

Analysis of deterministic cyclic gene regulatory network models with delays /

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Bibliographic Details
Author / Creator:	Ahsen, Mehmet Eren, author.
Imprint:	Cham : Birkhäuser, 2015. ©2015
Description:	1 online resource (xiii, 94 pages) : color illustrations.
Language:	English
Series:	SpringerBriefs in electrical and computer engineering, Control, automation and robotics, 2191-8112 SpringerBriefs in electrical and computer engineering. Control, automation and robotics.
Subject:	Gene regulatory networks -- Mathematical models. Gene regulatory networks -- Computer simulation.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11091997

Hidden Bibliographic Details
Other authors / contributors:	Özbay, Hitay, author. Niculescu, Silviu-Iulian, author.
ISBN:	9783319156064 3319156063 3319156055 9783319156057 9783319156057
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed March 4, 2015).
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.
Other form:	Printed edition: 9783319156057
Standard no.:	10.1007/978-3-319-15606-4

Table of 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.