Stochastic Dynamics in Computational Biology (eBook)

Stefanie Winkelmann, Christof Schütte (Autoren)

eBook Download: PDF

2021 | 1. Auflage
XVIII, 272 Seiten
Springer-Verlag
978-3-030-62387-6 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 4.1.2021
• Reihe/Serie: Frontiers in Applied Dynamical Systems: Reviews and Tutorials
• Zusatzinfo: XVIII, 272 p. 55 illus., 46 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik ► Bauwesen
• Schlagworte: Chemical master equation • chemical reaction network • Enzyme kinetics • gene expression • Hybrid Models • Multi-scale systems • Reaction-diffusion Process • Reaction rate equation • Stochastic Simulation
• ISBN-10: 3-030-62387-4 / 3030623874
• ISBN-13: 978-3-030-62387-6 / 9783030623876