Nonlinear reaction-diffusion: a microscopic approach

• Authors: Jean Boon , James Lutsko , Christopher Lutsko
• Languages of publication: EN

Abstracts

EN

A microscopic theory for reaction-difusion (R-D) processes is developed from Einstein’s master equation including a reactive term. The mean field formulation leads to a generalized R-D equation for the n-th order annihilation reaction A + A + A + ... + A → 0, and the steady state solutions exhibit long range power law behavior showing the relative dominance of sub-diffusion over reaction effects in constrained systems, or conversely short range concentration distribution with finite support describing situations where diffusion is slow and extinction is fast. We apply the theory to analyze experimental data for morphogen gradient formation in the wing disc of the Drosophila embryo.

Keywords

EN

reaction-diffusion   nonlinear processes   morphogen gradient  

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 3
• Pages: 631-636

Dates

published

1 - 6 - 2012

online

17 - 6 - 2012

References

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Identifiers

DOI

10.2478/s11534-012-0020-4