Description 
1 online resource (xiii, 94 pages) : color illustrations 
Series 
SpringerBriefs in electrical and computer engineering, Control, automation and robotics, 21918112 

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 ODEBased 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, ODEbased model for gene regulatory networks (GRN) that incorporates nonlinearities and timedelayed 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 bistability 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 

wiskunde 

mathematics 

genexpressie 

gene expression 

robots 

mechatronica 

mechatronics 

regeltheorie 

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, SilviuIulian, author.

ISBN 
9783319156064 

3319156063 

3319156055 

9783319156057 
