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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Drug release from viscoelastic polymeric matrices- a stable and supraconvergent FDM

Full text
Author(s):
Borges, J. S. [1, 2] ; Ferreira, J. A. [3] ; Romanazzi, G. [1] ; Abreu, E. [1]
Total Authors: 4
Affiliation:
[1] State Univ Campinas UNICAMP, Inst Math Stat & Sci Comp, Campinas - Brazil
[2] Univ Fed Sao Carlos, CCN, Buri - Brazil
[3] Univ Coimbra, Dept Math, CMUC, Coimbra - Portugal
Total Affiliations: 3
Document type: Journal article
Source: COMPUTERS & MATHEMATICS WITH APPLICATIONS; v. 99, p. 257-269, OCT 1 2021.
Web of Science Citations: 0
Abstract

Drug release from viscoelastic polymeric matrices is a complex phenomenon where the main actors are the fluid, the polymeric structure and the drug. As the fluid enters into the polymer, the polymeric chains relax inducing a resistance to the fluid entrance. In contact with the fluid, a dissolution processes takes place and the dissolved drug diffuses through the medium. Our main goal in this paper is to propose a stable finite difference method that leads to supraconvergent approximations for the fluid, solid and dissolved drug concentrations. The analysis proposed is non-standard in the sense that the error estimates have an important role in the stability analysis. (AU)

FAPESP's process: 17/05519-5 - Multiscale modeling and numerical simulation of the firsts steps of the formation of colorectal cancer
Grantee:Giuseppe Romanazzi
Support Opportunities: Regular Research Grants