The Helix research group
Research themes
Work in progress and results
Software and databases
News from Helix
Home page
Site map Mail to Helix
Qualitative simulation of genetic regulatory networks using piecewise-linear models
Technical report RR 4407, INRIA, 2002
H. de Jong, J.-L. Gouzé, C. Hernandez, M. Page, T. Sari

In order to cope with the large amounts of data that have become available in genomics, mathematical tools for the analysis of networks of interactions between genes, proteins, and other molecules are indispensable. We present a method for the qualitative simulation of genetic regulatory networks, based on a class of piecewise-linear (PL) differential equations that has been well-studied in mathematical biology. The simulation method is well-adapted to state-of-the-art measurement techniques in genomics which often provide qualitative and coarse-grained descriptions of genetic regulatory networks. The method is able to deal with nontrivial mathematical problems induced by the discontinuous right-hand sides of the differential equations. Furthermore, it guarantees that the simulation covers all possible solutions of quantitative PL models corresponding to the qualitative PL model used by the method. The qualitative simulation method has been implemented in Java.

Full text

    Top of page   Home page  Prepare to print