On the Reaction Diffusion Master Equation in the Microscopic Limit

Details On the Reaction Diffusion Master Equation in the Microscopic Limit On the Reaction Diffusion Master Equation in the Microscopic Limit

2011-12-08

arxiv.org/abs/1112.1741v1

Mathematics

Numerical Analysis

Scientific paper

10.1103/PhysRevE.85.042901

Stochastic modeling of reaction-diffusion kinetics has emerged as a powerful theoretical tool in the study of biochemical reaction networks. Two frequently employed models are the particle-tracking Smoluchowski framework and the on-lattice Reaction-Diffusion Master Equation (RDME) framework. As the mesh size goes from coarse to fine, the RDME initially becomes more accurate. However, recent developments have shown that it will become increasingly inaccurate compared to the Smoluchowski model as the lattice spacing becomes very fine. In this paper we give a new, general and simple argument for why the RDME breaks down. Our analysis reveals a hard limit on the voxel size for which no local RDME can agree with the Smoluchowski model.

Affiliated with

Also associated with

No associations

Rating

On the Reaction Diffusion Master Equation in the Microscopic Limit does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Reaction Diffusion Master Equation in the Microscopic Limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Reaction Diffusion Master Equation in the Microscopic Limit will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-546976