An adaptive algorithm for simulation of stochastic reaction-diffusion processes

  title={An adaptive algorithm for simulation of stochastic reaction-diffusion processes},
  author={Lars Ferm and Andreas Hellander and Per L{\"o}tstedt},
  journal={J. Comput. Physics},
We propose an adaptive hybrid method suitable for stochastic simulation of diffusion dominated reaction-diffusion processes. For such systems, simulation of the diffusion requires the predominant part of the computing time. In order to reduce the computational work, the diffusion in parts of the domain is treated macroscopically, in other parts with the tau-leap method and in the remaining parts with Gillespie’s stochastic simulation algorithm (SSA) as implemented in the next subvolume method… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.


Publications citing this paper.
Showing 1-10 of 29 extracted citations

Stochastic Turing patterns: analysis of compartment-based approaches.

Bulletin of mathematical biology • 2014
View 4 Excerpts
Highly Influenced

Reaction rates for mesoscopic reaction-diffusion kinetics.

Physical review. E, Statistical, nonlinear, and soft matter physics • 2015
View 1 Excerpt


Publications referenced by this paper.
Showing 1-10 of 43 references

On the construction and comparison of difference schemes

G. Strang
SIAM J. Numer. Anal., • 1968
View 8 Excerpts
Highly Influenced

A general method for numerically simulating the stochastic time evolution of coupled chemical reactions

D. T. Gillespie
J. Comput. Phys., • 1976
View 3 Excerpts
Highly Influenced

Solutions of ordinary differential equations as limits of pure jump Markov processes

T. G. Kurtz
J. Appl. Prob., • 1970
View 3 Excerpts
Highly Influenced

Solving Ordinary Differential Equations in R

View 3 Excerpts
Highly Influenced

Univariate Discrete Distributions: An Overview

International Encyclopedia of Statistical Science • 2011
View 1 Excerpt

Similar Papers

Loading similar papers…