On the role of differential algebra in biological modeling

François Boulier (1, 2)

1 LIFL - Laboratoire d'Informatique Fondamentale de Lille
2 CALFOR - Calcul Formel

Differential algebra is an algebraic theory for studying systems of polynomial ordinary differential equations (ODE). Among all the methods developed for system modeling in cellular biology, it is particularly related to the well-established approach based on nonlinear ODE. A subtheory of the differential algebra, the differential elimination, has proved to be useful in the parameters estimation problem. It seems however still more promising in the quasi-steady state approximation theory, recent results show.

Mots clés: computer algebra; differential elimination; biological modeling

Domaines: Calcul formel [cs.SC]; Systèmes dynamiques [math.DS]

François Boulier. On the role of differential algebra in biological modeling. Differential Algebra and Related Computer Algebra. An international conference in memory of Giuseppa Carrà Ferro, Mar 2008, Catania, Italy. pp.39-44. ⟨hal-00274685⟩