Stochastic Dynamics in Computational Biology

1. Auflage 2020
ISBN: 978-3-030-62386-9
Verlag: Springer International Publishing

Buch, Englisch, Band 8, 272 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 446 g

Reihe: Frontiers in Applied Dynamical Systems: Reviews and Tutorials

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.

Zielgruppe

Research

Autoren/Hrsg.

Schütte, Christof

Winkelmann, Stefanie

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Naturwissenschaften Biowissenschaften Angewandte Biologie Bioinformatik
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

Introduction.- Well-mixed stochastic reaction kinetics.- Population scaling.- Temporal scaling.- Spatial scaling.- Summary and Outlook.- Mathematical background.