Fractional Tumour-Immune Model with Drug Resistance

被引：0

作者：

Ana P. S. Koltun

José Trobia

Antonio M. Batista

Ervin K. Lenzi

Moises S. Santos

Fernando S. Borges

Kelly C. Iarosz

Iberê L. Caldas

Enrique C. Gabrick

机构：

[1] State University of Ponta Grossa,Graduate Program in Science

[2] State University of Ponta Grossa,Department of Mathematics and Statistics

[3] State University of Ponta Grossa,Department of Physics

[4] Municipal Secretary of Education of Ponta Grossa,Department of Physiology and Pharmacology

[5] State University of New York Downstate Health Sciences University,Center for Mathematics, Computation, and Cognition

[6] Federal University of ABC,Physics Intitute

[7] University Center UNIFATEB,undefined

[8] University of São Paulo,undefined

来源：

Brazilian Journal of Physics | 2024年 / 54卷

关键词：

Tumour; Cancer model; Fractional calculus;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Cancer is a group of diseases in which cells grow uncontrollably and can spread into other tissues. Various studies consider the interactions between cancer cells and the immune system as well as different types of treatment. Mathematical models have been used to study the growth of cancerous cells. We study a fractional order model that describes some aspects of the interactions among host, effector immune, and cancer cells. A drug treatment is considered to analyse the cancerous cells proliferation. Due to the chemotherapy, we split the fractional equation of the cancerous cells into drug sensitivity and resistance. We show that not only the chemotherapy but also the drug resistance plays an important role in the growth rate of cancer cells.

引用

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