An inverse problem for an immobilized enzyme model

Research output: Contribution to journalArticle

Abstract

© 2019 John Wiley & Sons, Ltd. 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.
Original languageEnglish
Pages (from-to)4170-4183
Number of pages14
JournalMathematical Methods in the Applied Sciences
DOIs
Publication statusPublished - 1 Aug 2019

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