Book contents
- Frontmatter
- Contents
- Preface
- 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
9 - Multiscale and Multi-Resolution Methods
Published online by Cambridge University Press: 04 November 2019
Book contents
- Frontmatter
- Contents
- Preface
- 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
Summary
This chapter discusses multi-resolution simulation methods for modelling reaction–diffusion processes. They use a detailed modelling approach only in certain parts of the computational domain, whilst in the remainder of the domain a coarser, less detailed, method is used. Two examples of multi-resolution methods are presented. The first example couples the Brownian dynamics with the corresponding compartment-based description. The second example couples molecular dynamics together with its coarser Langevin description. The chapter concludes with an overview of related multi-resolution approaches in the literature.
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- Stochastic Modelling of Reaction–Diffusion Processes , pp. 268 - 292Publisher: Cambridge University PressPrint publication year: 2020