Stochastic dynamics in computational biology / Stefanie Winkelmann, Christof Schütte.
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 ma...
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| Main Authors: | , |
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| Format: | Ebook |
| Language: | English |
| Published: |
Cham :
Springer,
2020.
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| Series: | Frontiers in applied dynamical systems.
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| Subjects: | |
| Online Access: | Springer eBooks |
| 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. |
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| Physical Description: | 1 online resource. |
| ISBN: | 3030623866 9783030623869 3030623874 9783030623876 |
| ISSN: | 2364-4532 |