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

Autores/as

  • Daniela Cortes
  • Giuseppe Romanazzi

DOI:

https://doi.org/10.5540/03.2023.010.01.0072

Palabras clave:

Difusion-Convection, Interstitium, Stability

Resumen

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.

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Biografía del autor/a

Daniela Cortes

IMECC, Campinas, SP

Giuseppe Romanazzi

IMECC, Campinas, SP

Citas

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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.

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Publicado

2023-12-18

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