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Stochastic Modelling of Reaction-Diffusion Processes

Stochastic Modelling of Reaction-Diffusion Processes

c.$130.00 ( )

Part of Cambridge Texts in Applied Mathematics

  • Publication planned for: January 2020
  • availability: Not yet published - available from January 2020
  • format: Hardback
  • isbn: 9781108498128

c.$ 130.00 ( )
Hardback

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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
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    Product details

    • Publication planned for: January 2020
    • format: Hardback
    • isbn: 9781108498128
    • dimensions: 228 x 152 mm
    • contains: 8 b/w illus. 43 colour illus. 3 tables 88 exercises
    • availability: Not yet published - available from January 2020
  • 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
    References
    Index.

  • 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.

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