Premium
An inverse problem for an immobilized enzyme model
Author(s) -
Gajardo Diego,
Mercado Alberto,
Valencia Pedro
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5637
Subject(s) - mathematics , partial differential equation , ordinary differential equation , inverse , inverse problem , reaction–diffusion system , diffusion , diffusion equation , diffusion process , differential equation , parabolic partial differential equation , mathematical analysis , mathematical optimization , computer science , thermodynamics , geometry , physics , knowledge management , economy , innovation diffusion , service (business) , economics
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.