Fractional Tumour-Immune Model with Drug Resistance

被引：0

作者：

Koltun, Ana P. S. ^{[1
]}

Trobia, Jose ^{[2
]}

Batista, Antonio M. ^{[1
,2
]}

Lenzi, Ervin K. ^{[1
,3
]}

Santos, Moises S. ^{[4
]}

Borges, Fernando S. ^{[1
,5
,6
]}

Iarosz, Kelly C. ^{[1
,7
]}

Caldas, Ibere L. ^{[8
]}

Gabrick, Enrique C. ^{[1
]}

机构：

[1] Univ Estadual Ponta Grossa, Grad Program Sci, BR-84030900 Ponta Grossa, PR, Brazil

[2] Univ Estadual Ponta Grossa, Dept Math & Stat, BR-84030900 Ponta Grossa, PR, Brazil

[3] Univ Estadual Ponta Grossa, Dept Phys, BR-84030900 Ponta Grossa, PR, Brazil

[4] Municipal Secretary Educ Ponta Grossa, Ponta Grossa, PR, Brazil

[5] SUNY Downstate Hlth Sci Univ, Dept Physiol & Pharmacol, Brooklyn, NY USA

[6] Fed Univ ABC, Ctr Math Computat & Cognit, Sao Paulo, Brazil

[7] Univ Ctr UNIFATEB, BR-84266010 Telemaco Borba, PR, Brazil

[8] Univ Sao Paulo, Phys Intitute, BR-05508090 Sao Paulo, SP, Brazil

来源：

BRAZILIAN JOURNAL OF PHYSICS | 2024年 / 54卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Tumour; Cancer model; Fractional calculus; MATHEMATICAL-MODEL; BREAST-CANCER; CHEMOTHERAPY; IMMUNOTHERAPY; THERAPY; RADIATION; DYNAMICS; CHAOS;

D O I：

10.1007/s13538-024-01417-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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

页数：6