Models of stochastic gene expression and Weyl algebra - Archive ouverte HAL Access content directly
Conference Papers Lecture Notes in Computer Science Year : 2010

Models of stochastic gene expression and Weyl algebra


This paper presents a symbolic algorithm for computing the ODE systems which describe the evolution of the moments associated to a chemical reaction system, considered from a stochastic point of view. The algorithm, which is formulated in the Weyl algebra, seems more efficient than the corresponding method, based on partial derivatives. In particular, an efficient method for handling conservation laws is presented. The output of the algorithm can be used for a further investigation of the system behaviour, by numerical methods. Relevant examples are carried out.
Fichier principal
Vignette du fichier
vidaleEtAl2010.pdf (436.46 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00492438 , version 1 (11-12-2010)
hal-00492438 , version 2 (25-06-2011)


  • HAL Id : hal-00492438 , version 2


Samuel Alexandre Vidal, Michel Petitot, François Boulier, François Lemaire, Celine Kuttler. Models of stochastic gene expression and Weyl algebra. Algebraic and Numeric Biology (ANB 2010), Jul 2010, Hagenberg, Austria. pp.76-97. ⟨hal-00492438v2⟩
278 View
452 Download


Gmail Facebook Twitter LinkedIn More