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E-book
Author Winkelmann, Stefanie

Title Stochastic dynamics in computational biology / Stefanie Winkelmann, Christof Schütte
Published Cham : Springer, 2020

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Description 1 online resource
Series Frontiers in applied dynamical systems, 2364-4532
Frontiers in applied dynamical systems.
Contents Introduction -- Well-mixed stochastic reaction kinetics -- Population scaling -- Temporal scaling -- Spatial scaling -- Summary and Outlook -- Mathematical background
Summary 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
Subject Computational biology.
Systems biology.
Stochastic processes.
Computational Biology
Systems Biology
Stochastic Processes
Procesos estocásticos
Complejidad computacional
Systems biology
Stochastic processes
Computational biology
Biomathematics
Dynamics
Ergodic theory
Vibration
Form Electronic book
Author Schütte, Christof, author.
ISBN 9783030623876
3030623874