Université de Fribourg

Stochastic Models and Numerical Algorithms for a Class of Regulatory Gene Networks

Fournier, Thomas ; Gabriel, Jean-Pierre ; Mazza, Christian ; Pasquier, Jérôme ; Galbete, José ; Mermod, Nicolas

In: Bulletin of Mathematical Biology, 2009, vol. 71, no. 6, p. 1394-1431

Regulatory gene networks contain generic modules, like those involving feedback loops, which are essential for the regulation of many biological functions (Guido et al. in Nature 439:856–860, 2006). We consider a class of self-regulated genes which are the building blocks of many regulatory gene networks, and study the steady-state distribution of the associated Gillespie algorithm by...