Erban, Radek
Stochastic Modelling of Reaction-Diffusion Processes (Cambridge Texts in Applied Mathematics)
- ISBN 13:
- 9781108703000
- author:
- Erban, Radek
- format:
- Paperback / softback
- publisher:
- Cambridge University Press
- language:
- English
- Publication Year:
- 2020
- Pages:
- 318
- Dimensions:
- 22.8 x 15.2 x 1.3 centimetres (0
- Genre:
- Science, Mathematics, General,
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
Stochastic Modelling of Reaction-Diffusion Processes by Radek Erban and S. Jonathan Chapman provides a practical introduction to stochastic reaction-diffusion modelling, a key concept in bridging mathematics and computations with biology and chemistry. This book is suitable for self-study or as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. It covers the basics of stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. The book then explores different stochastic spatio-temporal models, including models of diffusion and stochastic reaction-diffusion modelling. These models are explained using simple examples of biological systems, ranging from small biomolecules to groups of animals. The methods covered include molecular dynamics, Brownian dynamics, velocity jump processes, and compartment-based (lattice-based) models. This book is an ideal resource for those looking to understand the mathematical foundations of reaction-diffusion processes and their applications in various scientific fields.