Skip to content
Register Sign in Wishlist

Stochastic Modelling of Reaction–Diffusion Processes


Part of Cambridge Texts in Applied Mathematics

  • Date Published: January 2020
  • availability: In stock
  • format: Paperback
  • isbn: 9781108703000

£ 36.99

Add to cart Add to wishlist

Other available formats:
Hardback, eBook

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • 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.

    • Provides a practical example-based introduction
    • Includes tried and tested material developed by the authors at the University of Oxford
    • A suitable course text for advanced undergraduate and beginning graduate students in applied mathematics
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: January 2020
    • format: Paperback
    • isbn: 9781108703000
    • dimensions: 228 x 152 x 13 mm
    • weight: 0.45kg
    • contains: 8 b/w illus. 86 colour illus. 3 tables 88 exercises
    • availability: In stock
  • Table of Contents

    1. Stochastic simulation of chemical reactions
    2. Deterministic versus stochastic modelling
    3. Stochastic differential equations
    4. Diffusion
    5. Efficient stochastic modelling of chemical reactions
    6. Stochastic reaction-diffusion models
    7. SSAs for reaction-diffusion-advection processes
    8. Microscopic models of Brownian motion
    9. Multiscale and multi-resolution methods
    Appendix A. Deterministic modelling of chemical reactions
    Appendix B. Discrete probability distributions
    Appendix C. Continuous probability distributions

  • Resources for

    Stochastic Modelling of Reaction–Diffusion Processes

    Radek Erban, S. Jonathan Chapman

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact

  • Authors

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

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.