CMMSE: numerical analysis of a chemical targeting model

Autor: Jacobo Baldonedo, José R. Fernández, Abraham Segade, Sofía Suárez
Rok vydání: 2022
Předmět:
Zdroj: Journal of Mathematical Chemistry. 60:2125-2138
ISSN: 1572-8897
0259-9791
Popis: Treating specific tissues without affecting other regions is a difficult task. It is desirable to target the particular tissue where the chemical has its biological effect. To study this phenomenon computationally, in this work we numerically study a mathematical model which is written as a nonlinear system composed by three parabolic partial differential equations. The variables involved in the model are the concentration of the chemical, the concentration of the binding protein and the concentration of the chemical bound to the protein. Our aim is to propose a fully discrete approximation of this problem, using the Finite Element Method and a semi-implicit Euler scheme, in order to solve it numerically. This discrete problem is analysed, obtaining a discrete stability property and some a priori error estimates that show the algorithm converges linearly if the continuous solution is regular enough. Also, some representative examples are shown, as well as the numerical verification of the convergence. Agencia Estatal de Investigación | Ref. PGC2018-096696-B-I00 Universidade de Vigo/CISUG
Databáze: OpenAIRE
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