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

Laura Cantini, Claudia Cianci, Duccio Fanelli, Emma Massi, Luigi Barletti, Malbor Asllani

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)1585-1608
Number of pages24
JournalJournal of mathematical biology
Volume69
Issue number6-7
DOIs
Publication statusPublished - 1 Dec 2014
Externally publishedYes

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