The linear noise approximation for reaction-diffusion systems on networks

Malbor Asllani, Tommaso Biancalani, Duccio Fanelli, Alan J. McKane

Résultats de recherche: Contribution à un journal/une revueArticleRevue par des pairs


Stochastic reaction-diffusion models can be analytically studied on complex networks using the linear noise approximation. This is illustrated through the use of a specific stochastic model, which displays travelling waves in its deterministic limit. The role of stochastic fluctuations is investigated and shown to drive the emergence of stochastic waves beyond the region of the instability predicted from the deterministic theory. Simulations are performed to test the theoretical results and are analyzed via a generalized Fourier transform algorithm. This transform is defined using the eigenvectors of the discrete Laplacian defined on the network. A peak in the numerical power spectrum of the fluctuations is observed in quantitative agreement with the theoretical predictions.

langue originaleAnglais
Numéro d'article476
journalEuropean Physical Journal B
Numéro de publication11
Les DOIs
Etat de la publicationPublié - 2013
Modification externeOui

Empreinte digitale

Examiner les sujets de recherche de « The linear noise approximation for reaction-diffusion systems on networks ». Ensemble, ils forment une empreinte digitale unique.

Contient cette citation