Modeling, Stability and Numerical Simulation of Doxorubicin Transport and Uptake in Tumors.

Autores

  • Daniela Cortes
  • Giuseppe Romanazzi

DOI:

https://doi.org/10.5540/03.2023.010.01.0072

Palavras-chave:

Difusion-Convection, Interstitium, Stability

Resumo

This work analyzes the transport and effect of the chemotherapy drug doxorubicin in tumors. Specifically, we model the diffusion-convection process of doxorubicin delivered by bolus injection across the tumor and interstitium by a system of partial differential equations. We present a stability analysis of the system solution and implement a finite difference method to approximate it.

Downloads

Não há dados estatísticos.

Biografia do Autor

Daniela Cortes

IMECC, Campinas, SP

Giuseppe Romanazzi

IMECC, Campinas, SP

Referências

L. T. Baxter and R. K. Jain. “Transport of fluid and macromolecules in tumors. I. Role of interstitial pressure and convection”. In: Microvascular Research 1 (1989), pp. 77–104. doi: 10.1016/0026-2862(89)90074-5.

J. S. Borges et al. “Drug release from viscoelastic polymeric matrices-a stable and supraconvergent FDM”. In: Computers & Mathematics with Applications (2021), pp. 257–269. doi: 10.1016/j.camwa.2021.08.007.

G. C. M Campos, J.A. Ferreira, and G. Romanazzi. “Density-pressure IBVP: Numerical analysis, simulation and cell dynamics in a colonic crypt”. In: Applied Mathematics and Computation 424.127037 (2022).

S. Eikenberry. “A tumor cord model for doxorubicin delivery and dose optimization in solid tumors”. In: Theoretical Biology and Medical Modelling 1 (2009), pp. 1–20. doi: 10.1186/1742-4682-6-16.

The MathWorks Inc. MATLAB version: 9.13.0 (R2022b). Natick, Massachusetts, United States, 2022. url: https://www.mathworks.com.

A. W. El-Kareh and T. W. Secomb. “A mathematical model for comparison of bolus injection, continuous infusion, and liposomal delivery of doxorubicin to tumor cells”. In: Neoplasia 4 (2000), pp. 325–338. doi: 10.1038/sj.neo.7900096.

W. Zhan, W. Gedroyc, and X. Yun Xu. “Mathematical modelling of drug transport and uptake in a realistic model of solid tumour”. In: Protein and Peptide Letters 11 (2014), pp. 1146–1156. doi: 10.2174/0929866521666140807115629.

Downloads

Publicado

2023-12-18

Edição

Seção

Trabalhos Completos