Stochastic Modelling of Reaction-Diffusion Processes

Practical introduction for advanced undergraduate or beginning graduate students of applied mathematics, developed at the University of Oxford.

List 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; References; Index.

About the author

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.

Product details

• Authors: S. Jonathan Chapman, S. Jonathan (University of Oxford) Chapman, Radek Erban, Radek (University of Oxford) Erban, Radek (University of Oxford) Chapman Erban
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.01.2020
• EAN: 9781108703000
• ISBN: 978-1-108-70300-0
• No. of pages: 319
• Series: Cambridge Texts in Applied Mat; Cambridge Texts in Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; Wahrscheinlichkeitsrechnung und Statistik, MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Applied, Probability & statistics, Mathematical modelling, Probability and statistics