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Stochastic dynamics in computational...

Winkelmann, Stefanie.

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Stochastic dynamics in computational biology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stochastic dynamics in computational biology/ by Stefanie Winkelmann, Christof Schutte.
Author:	Winkelmann, Stefanie.
other author:	Schutte, Christof.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xviii, 272 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Well-mixed stochastic reaction kinetics -- Population scaling -- Temporal scaling -- Spatial scaling -- Summary and Outlook -- Mathematical background.
Contained By:	Springer Nature eBook
Subject:	Computational biology. -
Online resource:	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

Stochastic dynamics in computational biology
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100 1 $a Winkelmann, Stefanie. $3 3530362
245 1 0 $a Stochastic dynamics in computational biology $h [electronic resource] / $c by Stefanie Winkelmann, Christof Schutte.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xviii, 272 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in applied dynamical systems, $x 2364-4532
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.
650 0 $a Computational biology. $3 590653
650 0 $a Systems biology. $3 905904
650 0 $a Stochastic processes. $3 520663
650 1 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Vibration, Dynamical Systems, Control. $3 893843
650 2 4 $a Mathematical and Computational Biology. $3 1566274
700 1 $a Schutte, Christof. $3 3530363
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Frontiers in applied dynamical systems. $3 3530364
856 4 0 $u https://doi.org/10.1007/978-3-030-62387-6
950 $a Mathematics and Statistics (SpringerNature-11649)