UID:
almahu_9948691268602882
Umfang:
XVIII, 272 p. 55 illus., 46 illus. in color.
,
online resource.
Ausgabe:
1st ed. 2020.
ISBN:
9783030623876
Serie:
Frontiers in Applied Dynamical Systems: Reviews and Tutorials,
Inhalt:
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.
Anmerkung:
Introduction -- Well-mixed stochastic reaction kinetics -- Population scaling -- Temporal scaling -- Spatial scaling -- Summary and Outlook -- Mathematical background.
In:
Springer Nature eBook
Weitere Ausg.:
Printed edition: ISBN 9783030623869
Weitere Ausg.:
Printed edition: ISBN 9783030623883
Sprache:
Englisch
DOI:
10.1007/978-3-030-62387-6
URL:
https://doi.org/10.1007/978-3-030-62387-6
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