RT Journal Article T1 CMMSE: numerical analysis of a chemical targeting model A1 González Baldonedo, Jacobo A1 Fernández García, José Ramón A1 Segade Robleda, Abraham A1 Suarez Garcia, Sofía K1 1202 Análisis y Análisis Funcional K1 2406.04 Biomecánica AB 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. PB Journal of Mathematical Chemistry SN 02599791 YR 2022 FD 2022-09-26 LK http://hdl.handle.net/11093/4614 UL http://hdl.handle.net/11093/4614 LA eng NO Journal of Mathematical Chemistry, 60: 2125-2138 (2022) NO Agencia Estatal de Investigación | Ref. PGC2018-096696-B-I00 DS Investigo RD 12-feb-2025