An inverse problem for an immobilized enzyme model | Zendy

Gajardo Diego | Zendy; Mercado Alberto | Zendy; Valencia Pedro | Zendy

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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.

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