Towards an Automated Reduction Method for Polynomial ODE Models of Biochemical Reaction Systems

This paper presents the first version of an algorithmic scheme dedicated to the model reduction problem, in the context of polynomial ODE models derived from generalized chemical reaction systems. This scheme, which relies on computer algebra, is implemented within a new MAPLE package. It is applied over an example. The qualitative analysis of the reduced model is afterwards completely carried out, proving the practical relevance of our methods. We would like to thank Marc Lefranc and Pierre-Emmanuel Morant. This work was partially supported by the PPF Bioinfo of the University Lille I.