Invariance kernel of Biological Regulatory Networks
by Jamil Ahmad, Olivier Roux
International Journal of Data Mining and Bioinformatics (IJDMB), Vol. 4, No. 5, 2010

Abstract: The analysis of Biological Regulatory Network (BRN) leads to the computing of the set of the possible behaviours of the biological components. These behaviours are seen as trajectories and we are specifically interested in cyclic trajectories since they stand for stability. The set of cycles is given by the so-called invariance kernel of a BRN. This paper presents a method for deriving symbolic formulae for the length, volume and diameter of a cylindrical invariance kernel. These formulae are expressed in terms of delay parameters expressions and give the existence of an invariance kernel and a hint of the number of cyclic trajectories.

Online publication date: Fri, 08-Oct-2010

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