Differential Algebra and System Modeling in Cellular Biology

Abstract. Among all the modeling approaches dedicated to cellular biology, differential algebra is particularly related to the well-established one based on nonlinear differential equations. In this paper, it is shown that differential algebra makes one of the model reduction methods both simple and algorithmic: the quasi-steady state approximation theory, in the particular setting of generalized chemical reactions systems. This recent breakthrough may suggest some evolution of modeling techniques based on nonlinear differential equations, by incorporating the reduction hypotheses in the models. Potential improvements of parameters fitting methods are discussed too. Key words: computer algebra, differential algebra, cellular biology, system modeling.

• Type: Conference
• Year: 2008
• Where: AB
• Authors: François Boulier, François Lemaire
• Keywords: AB 2008, Cellular Biology, Computational Biology, Model Reduction Methods, Quasi-steady State Approximation