Stochastic Chemical Kinetics

Theory and (Mostly) Systems Biological Applications

Péter Érdi, Gábor Lente (Autoren)

Buch | Softcover

162 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer-Verlag New York Inc.
978-1-4939-5423-0 (ISBN)

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This volume reviews the theory and simulation methods of stochastic 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 stochastic kinetic methods.

Stochastic kinetics: why and how?.- Chemical kinetics: a prototype of nonlinear science.- Applicability of the deterministic model.- Fluctuation phenomena.- Stochastic chemical kinetics.- Continuous time discrete state stochastic models.- Model frameworks.- Stochastic processes.- The standard stochastic 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.- Autocatalysis.- Enzyme kinetics.- Signal processing.- Gene expression.- Chiral symmetry.- Parameter estimation in stochastic kinetic models.- Stochastic resonance in chemical systems.- Computation with small stochastic kinetic systems.- The Book in Retrospect and Prospect.- Index.

Erscheinungsdatum	25.11.2016
Reihe/Serie	Springer Series in Synergetics
Zusatzinfo	2 Illustrations, color; 20 Illustrations, black and white; XIV, 162 p. 22 illus., 2 illus. in color.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Biologie
	Naturwissenschaften ► Chemie ► Physikalische Chemie
	Naturwissenschaften ► Physik / Astronomie
Schlagworte	chemical kinetics • Discrete-state Stochastic Models • Enzyme kinetics • Fluctuation Phenomena • Master Equations • Stochastic Simulation • System biology
ISBN-10	1-4939-5423-7 / 1493954237
ISBN-13	978-1-4939-5423-0 / 9781493954230
Zustand	Neuware