Nonlinear reaction-diffusion: a microscopic approach

• Autorzy: Jean Boon , James Lutsko , Christopher Lutsko
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

reaction-diffusion; nonlinear processes; morphogen gradient

• Czasopismo: Open Physics
• Rocznik: 2012
• Tom: 10
• Numer: 3
• Strony: 631-636

Daty

wydano

2012-06-01

online

2012-06-17

Twórcy

autor

Jean Boon

• Center for Nonlinear Phenomena and Complex Systems CP 231, Université Libre de Bruxelles, 1050, Bruxelles, Belgium,

autor

James Lutsko

• Center for Nonlinear Phenomena and Complex Systems CP 231, Université Libre de Bruxelles, 1050, Bruxelles, Belgium,

autor

Christopher Lutsko

• International School of Brussels, Kattenberg 19, 1170, Bruxelles, Belgium

Bibliografia

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Identyfikatory

DOI

10.2478/s11534-012-0020-4