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＜E-Book＞
Stochastic Dynamics in Computational Biology / by Stefanie Winkelmann, Christof Schütte
(Frontiers in Applied Dynamical Systems: Reviews and Tutorials. ISSN:23644931)

Edition	1st ed. 2020.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2020
Language	English
Size	XVIII, 272 p. 55 illus., 46 illus. in color : online resource
Authors	*Winkelmann, Stefanie author Schütte, Christof author SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:Biomathematics FREE:Dynamical Systems FREE:Mathematical and Computational Biology
Notes	Introduction -- Well-mixed stochastic reaction kinetics -- Population scaling -- Temporal scaling -- Spatial scaling -- Summary and Outlook -- Mathematical background The aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-stochastic hybrid model recombinations. Another main objective is to illustrate and compare diverse numerical simulation schemes and their computational effort. Unlike related works, this book presents a broad scope in its applications, from offering a detailed introduction to hybrid approaches for the case of multiple population scales to discussing the setting of time-scale separation resulting from widely varying firing rates of reaction channels. Additionally, it also addresses modeling approaches for non well-mixed reaction-diffusion dynamics, including deterministic and stochastic PDEs and spatiotemporal master equations. Finally, by translating and incorporating complex theory to a level accessible to non-mathematicians, this book effectively bridges the gap between mathematical research in computational biology and its practical use in biological, biochemical, and biomedical systems HTTP:URL=https://doi.org/10.1007/978-3-030-62387-6

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