RADIAL BASIS FUNCTION COLLOCATION FOR THE CHEMICAL MASTER EQUATION

TitleRADIAL BASIS FUNCTION COLLOCATION FOR THE CHEMICAL MASTER EQUATION
Publication TypeJournal Article
Year of Publication2010
AuthorsZhang, J., L. T. Watson, C. A. Beattie, and Y. Cao
JournalINTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
Volume7
Issue3
Pagination477-498
Date PublishedSEP
Type of ArticleArticle
ISSN0219-8762
Abstract

{The chemical master equation (CME), formulated from the Markov assumption of stochastic processes, offers an accurate description of general chemical reaction systems. This paper proposes a collocation method using radial basis functions to numerically approximate the solution to the CME. Numerical results for some systems biology problems show that the collocation approximation method has good potential for solving large-scale CMEs.}

DOI10.1142/S0219876210002234