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/