Stochastic modelling of reaction-diffusion processes / Radek Erban, S. Jonathan Chapman.

Format:

Book

Author/Creator:

Erban, Radek, author.

Chapman, Jon, author.

Series:

Cambridge texts in applied mathematics

Language:

English

Subjects (All):

Stochastic processes--Textbooks.

Stochastic processes.

Reaction-diffusion equations--Textbooks.

Reaction-diffusion equations.

Genre:

Textbooks.

Physical Description:

xi, 307 pages ; 24 cm.

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020.

Summary:

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.

Notes:

Includes bibliographical references and index.

ISBN:

9781108498128

1108498124

9781108703000

1108703003

OCLC:

1100426133