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Stochastic dynamics in computational...

Winkelmann, Stefanie.

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Stochastic dynamics in computational biology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stochastic dynamics in computational biology/ by Stefanie Winkelmann, Christof Schutte.
作者:	Winkelmann, Stefanie.
其他作者:	Schutte, Christof.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	xviii, 272 p. :ill., digital ;24 cm.
內容註:	Introduction -- Well-mixed stochastic reaction kinetics -- Population scaling -- Temporal scaling -- Spatial scaling -- Summary and Outlook -- Mathematical background.
Contained By:	Springer Nature eBook
標題:	Computational biology. -
電子資源:	https://doi.org/10.1007/978-3-030-62387-6
ISBN:	9783030623876

Stochastic dynamics in computational biology
Winkelmann, Stefanie.

Stochastic dynamics in computational biology[electronic resource] /by Stefanie Winkelmann, Christof Schutte. - Cham :Springer International Publishing :2020. - xviii, 272 p. :ill., digital ;24 cm. - Frontiers in applied dynamical systems,2364-4532. - Frontiers in applied dynamical systems..

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.

ISBN: 9783030623876

Standard No.: 10.1007/978-3-030-62387-6doiSubjects--Topical Terms:

590653
Computational biology.

LC Class. No.: QH324.2 / .W55 2020

Dewey Class. No.: 570.285

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505 0 $a Introduction -- Well-mixed stochastic reaction kinetics -- Population scaling -- Temporal scaling -- Spatial scaling -- Summary and Outlook -- Mathematical background.
520 $a 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.
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