In this paper we present the extension of the kinetic logic proposed by René Thomas for analysis of genetic regulatory gene networks. We consider the case with a Gaussian noise added to the regulation function and propose a method of analyzing the resulting model with a discrete time Markov model.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-19, author = {Bartek Wilczy\'nski}, title = {A stochastic extension of R. Thomas regulatory network modelling}, journal = {Banach Center Publications}, volume = {83}, year = {2008}, pages = {271-276}, zbl = {1138.92019}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-19} }
Bartek Wilczyński. A stochastic extension of R. Thomas regulatory network modelling. Banach Center Publications, Tome 83 (2008) pp. 271-276. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc80-0-19/