Stochastic Chemical Kinetics: Theory and (Mostly) Systems Biological Applications

by Pïter ïrdi, Gïbor Lente

Overview

This volume reviews the theory and simulation methods of shastic kinetics by integrating historical and recent perspectives, presents applications, mostly in the context of systems biology and also in combustion theory. In recent years, due to the development in experimental techniques, such as optical imaging, single cell analysis, and fluorescence spectroscopy, biochemical kinetic data inside single living cells have increasingly been available. The emergence of systems biology brought renaissance in the application of shastic kinetic methods.

Product Details

ISBN-13:	9781493903863
Publisher:	Springer New York
Publication date:	05/07/2014
Series:	Springer Series in Synergetics
Edition description:	2014
Pages:	162
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Shastic kinetics: why and how?.- Chemical kinetics: a prototype of nonlinear science.- Applicability of the deterministic model.- Fluctuation phenomena.- Shastic chemical kinetics.- Continuous time discrete state shastic models.- Model frameworks.- Shastic processes.- The standard shastic model of homogeneous reaction kinetics.- Solutions of the master equation.- Stationary and transient distributions.- Simulation methods.- Deterministic continuation.- Continuous state approximations.- Non-Markovian approaches.- Applications.- Introductory remarks.- Fluctuations near instabilities.- Compartmental systems.- Auatalysis.- Enzyme kinetics.- Signal processing.- Gene expression.- Chiral symmetry.- Parameter estimation in shastic kinetic models.- Shastic resonance in chemical systems.- Computation with small shastic kinetic systems.- The Book in Retrospect and Prospect.- Index.

Editorial Reviews

This is the first book in a new, highly exciting, growing area of applied mathematics, with applications to modern cell biology. The level is very accessible to a wide range of readers from the physical sciences to biology and the life sciences. … The book is lucidly written and has an extensive, scholarly researched bibliography which will certainly be useful to anyone who wants to go deeper into the subject.” (Hong Qian, SIAM Review, Vol. 57 (3), September, 2015)

From the Publisher