Séminaire François Lemaire

Jeudi 10 Mars 2016 (14h00, Salle G001)

François Lemaire, CRISTAL, Université de Lille.

Titre : Application of differential algebra to the quasi-steady state approximation in Biology and Physics.

Résumé : The quasi-steady state approximation (QSSA) is a technics for approximating the evolution of a dynamical system which involves both slow and fast dynamics. It can be used when the fast dynamics tend to an equilibria which slowly drifts due to action of the slow dynamics.


I will show how to use differential algebra, and more precisely differential eliminition, to solve the QSSA in the context of chemical reactions systems, as well as some examples taken from physics (pendulum, communicating vessels, diffusion,...).