Abstract:

The aim of this article is to study the effective behavior of the solution of
a nonlinear problem arising in the modelling of enzyme catalyzed reactions through the exterior of a domain containing periodically distributed reactive solid obstacles, with period ε. The asymptotic behavior of the solution of such a problem is governed by a new elliptic boundary-value problem, with an extra zero-order term that captures the effect of the enzymatic reactions.

Key words: Homogenization, enzyme, reactive flows, Michaelis-Menten mechanism