Stochastic modelling of reaction-diffusion processes

書誌事項

Stochastic modelling of reaction-diffusion processes

Radek Erban, S. Jonathan Chapman

(Cambridge texts in applied mathematics)

Cambridge University Press, 2020

  • : pbk

大学図書館所蔵 件 / 3

この図書・雑誌をさがす

注記

Includes bibliographical references (p. 297-303) and index

内容説明・目次

内容説明

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.

目次

  • 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.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

ページトップへ