A microscopic approach to nonlinear Reaction-Diffusion: the case of morphogen gradient formation

Details A microscopic approach to nonlinear Reaction-Diffusion: the case of morphogen gradient formation A microscopic approach to nonlinear Reaction-Diffusion: the case of morphogen gradient formation

2011-10-25

arxiv.org/abs/1110.5463v1

Physics

Condensed Matter

Statistical Mechanics

Article, 10 pages, 5 figures

Scientific paper

We develop a microscopic theory for reaction-difusion (R-D) processes based on a generalization of Einstein's master equation with a reactive term and we show how the mean field formulation leads to a generalized R-D equation with non-classical solutions. For the $n$-th order annihilation reaction $A+A+A+...+A\rightarrow 0$, we obtain a nonlinear reaction-diffusion equation for which we discuss scaling and non-scaling formulations. We find steady states with either solutions exhibiting long range power law behavior (for $n>\alpha$) showing the relative dominance of sub-diffusion over reaction effects in constrained systems, or conversely solutions (for $n<\alpha

Affiliated with

Also associated with

No associations

Rating

A microscopic approach to nonlinear Reaction-Diffusion: the case of morphogen gradient formation 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 A microscopic approach to nonlinear Reaction-Diffusion: the case of morphogen gradient formation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A microscopic approach to nonlinear Reaction-Diffusion: the case of morphogen gradient formation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-94391