Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays (Paperback, 2015 ed.)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Control, Automation and Robotics
Release date:	March 2015
First published:	2015
Authors:	Mehmet Eren Ahsen • Hitay OEzbay • Silviu-Iulian Niculescu
Dimensions:	235 x 155 x 6mm (L x W x T)
Format:	Paperback
Pages:	94
Edition:	2015 ed.
ISBN-13:	978-3-319-15605-7
Categories:	Books > Medicine > Pre-clinical medicine: basic sciences > Medical genetics Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering > General Promotions
LSN:	3-319-15605-5
Barcode:	9783319156057

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