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

Autor(es)

Borges, J. S. ^{[1, 2]} ; Ferreira, J. A. ^[3] ; Romanazzi, G. ^[1] ; Abreu, E. ^[1]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: COMPUTERS & MATHEMATICS WITH APPLICATIONS; v. 99, p. 257-269, OCT 1 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 17/05519-5 - Modelagem viscoelástica multiescala e simulações numéricas das primeiras fases da formação do câncer colorretal
• Beneficiário: Giuseppe Romanazzi
• Modalidade de apoio: Auxílio à Pesquisa - Regular