Steady-state solution of biochemical systems, beyond S-systems via T-invariants

  • Authors:

  • Faten Nabli;Sylvain Soliman

  • Affiliations:

  • INRIA Paris-Rocquencourt, Équipe Contraintes, Domaine de Voluceau, Rocquencourt, Le Chesnay Cedex - France;INRIA Paris-Rocquencourt, Équipe Contraintes, Domaine de Voluceau, Rocquencourt, Le Chesnay Cedex - France

  • Venue:
  • Proceedings of the 8th International Conference on Computational Methods in Systems Biology
  • Year:
  • 2010

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Abstract

In recent years Systems Biology has become a rich field of study, trying to encompass all the information that has become available thanks to the new high-throughput techniques of biologists, in order to build detailed models of complex systems. Some models have been growing bigger and bigger, but lacking most of precise kinetic data. Other models remain of reasonable size, but have an even larger uncertainty about parameter values. Unfortunately, very few analyses allow to extract information about the dynamics of these models when pure symbolic computations fails. This article presents a way to generalize well-known results about the steady-state analysis of some symbolic Ordinary Differential Equations systems by taking into account the structure of the reaction network. The structural study of the underlying Petri net, usually used mostly for metabolic flux analysis, will provide classes where the computation of some steady states of the system is possible, even though the original symbolic model did not form an S-system and was not solvable by state-of-the-art symbolic computation software. This new method is then illustrated on some models of the Biomodels repository and is followed by a brief discussion.