Stochastic Modelling of Reaction–Diffusion Processes (Cambridge Texts in Applied Mathematics, Series Number 60) - Hardcover

Erban, Radek; Chapman, S. Jonathan

Hardcover

ISBN 10: 1108498124 ISBN 13: 9781108498128

Publisher: Cambridge University Press, 2020

Synopsis

This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and computations with biology and chemistry. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. Different stochastic spatio-temporal models are then studied, including models of diffusion and stochastic reaction-diffusion modelling. The methods covered include molecular dynamics, Brownian dynamics, velocity jump processes and compartment-based (lattice-based) models.

About this title

About the Authors

Radek Erban is Professor of Mathematics at the University of Oxford, a Fellow of Merton College, Oxford and a Royal Society University Research Fellow.

S. Jonathan Chapman is Professor of Mathematics and its Applications at the University of Oxford, and a Fellow of Mansfield College, Oxford.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2020
• Language: English
• ISBN 10: 1108498124
• ISBN 13: 9781108498128
• Binding: Hardcover
• Edition number: 1
• Number of pages: 319