Noise-induced spatial pattern formation in stochastic reaction-diffusion systems

Yutaka Hori, Shinji Hara

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

This paper is concerned with stochastic reaction-diffusion kinetics governed by the reaction-diffusion master equation. Specifically, the primary goal of this paper is to provide a mechanistic basis of Turing pattern formation that is induced by intrinsic noise. To this end, we first derive an approximate reaction-diffusion system by using linear noise approximation. We show that the approximated system has a certain structure that is associated with a coupled dynamic multi-agent system. This observation then helps us derive an efficient computation tool to examine the spatial power spectrum of the intrinsic noise. We numerically demonstrate that the result is quite effective to analyze noise-induced Turing pattern. Finally, we illustrate the theoretical mechanism behind the noise-induced pattern formation with a H2 norm interpretation of the multi-agent system.

Original languageEnglish
Article number6426152
Pages (from-to)1053-1058
Number of pages6
JournalUnknown Journal
DOIs
Publication statusPublished - 2012
Externally publishedYes

Fingerprint

Turing Patterns
Spatial Pattern
Pattern Formation
Reaction-diffusion System
Stochastic Systems
Multi-agent Systems
Noise
Multi agent systems
Reaction-diffusion
Master Equation
Reaction-diffusion Equations
Power Spectrum
Dynamic Systems
Kinetics
Power spectrum
Norm
Approximation
Demonstrate
Reaction-diffusion system
interpretation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Noise-induced spatial pattern formation in stochastic reaction-diffusion systems. / Hori, Yutaka; Hara, Shinji.

In: Unknown Journal, 2012, p. 1053-1058.

Research output: Contribution to journalArticle

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