Stochastic amplification of spatial modes in a system with one diffusing species

Journal of Mathematical Biology
Laura CantiniMalbor Asllani

Abstract

The problem of pattern formation in a generic two species reaction-diffusion model is studied, under the hypothesis that only one species can diffuse. For such a system, the classical Turing instability cannot take place. At variance, by working in the generalized setting of a stochastic formulation to the inspected problem, spatially organized patterns can develop, seeded by finite size corrections. General conditions are given for the stochastic patterns to occur. The predictions of the theory are tested for a specific case study.

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Citations

Sep 28, 2017·Physical Review. E·Tomáš VejchodskýVojtěch Rybář
Feb 17, 2017·FEMS Microbiology Reviews·Antonia HerreroEnrique Flores

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