Description |
1 online resource |
Series |
Frontiers in applied dynamical systems, 2364-4532 |
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Frontiers in applied dynamical systems.
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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.
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Systems biology.
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Stochastic processes.
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Computational Biology
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Systems Biology
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Stochastic Processes
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Procesos estocásticos
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Complejidad computacional
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Systems biology
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Stochastic processes
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Computational biology
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Biomathematics
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Dynamics
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Ergodic theory
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Vibration
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Form |
Electronic book
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Author |
Schütte, Christof, author.
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ISBN |
9783030623876 |
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3030623874 |
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