An inverse problem for an immobilized enzyme model

A method for estimating unknown kinetic parameters in a mathematical model for catalysis by an immobilized enzyme is studied. The model consists of a semilinear parabolic partial differential equation modeling the reaction‐diffusion process coupled with an ordinary differential equation for the rate transport. The well posedness of the model is proven; a PDE‐constrained optimization approach is applied to the stated inverse problem; and finally, some numerical simulations are presented.