Hierarchical Analysis of Piecewise Affine Models of Gene Regulatory Networks
published: Nov. 27, 2007, recorded: October 2007, views: 3395
Report a problem or upload filesIf you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
We propose in this paper a method to hierarchically organize a certain type of piecewise affine differential system. This specific class of dynamical systems has been extensively studied for the past few years, as it provides a good framework to model gene regulatory networks. Using the hierarchical organization of a piecewise affine system, we present a technique to qualitatively analyze the asymptotic behavior of the whole system thanks to the analysis of several smaller subsystems. Specifically adapted to these networks, an algorithm of threshold elimination is presented, that refines in certain cases the hierarchical decomposition and therefore improves the analysis.
Link this pageWould you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !