An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy

被引：3
|
作者：
de Araujo, Anderson L. A. [1 ]
Fassoni, Artur C. [2 ]
Salvino, Luis F. [3 ]
机构：
[1] Univ Fed Vicosa, Dept Matemat, Vicosa, MG, Brazil
[2] Univ Fed Itajuba, Inst Matemat & Comp, Itajuba, MG, Brazil
[3] Univ Fed Vicosa, Inst Ciencias Exatas, Campus Florestal, Florestal, MG, Brazil
来源：
APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2020年 / 5卷 / 02期
关键词：
Nonlinear system; existence of solutions; tumor growth; chemotherapeutic drug; CANCER;
D O I：
10.2478/AMNS.2020.2.00037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a mathematical analysis of a mixed ODE-PDE model describing the spatial distribution and temporal evolution of tumor and normal cells within a tissue subject to the effects of a chemotherapeutic drug. The model assumes that the influx of chemotherapy is restricted to a limited region of the tissue, mimicking a blood vessel passing transversely. We provide results on the existence and uniqueness of the model solution and numerical simulations illustrating different model behaviors.
引用
收藏
页码：185 / 204
页数：20
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