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Modeling and analysis of nonlinear tumor‐immune interaction under chemotherapy and radiotherapy.

Authors :
Bashkirtseva, Irina
Chukhareva, Anna
Ryashko, Lev
Source :
Mathematical Methods in the Applied Sciences; Sep2022, Vol. 45 Issue 13, p7983-7991, 9p
Publication Year :
2022

Abstract

This paper examines the effects of treatment on tumor‐immune dynamics based on a conceptual two‐dimensional model. In absence of treatment, this model exhibits regimes of "active" and "dormant" tumor. Increasing intensity of chemotherapy entails a significant complication of tumor‐immune interaction with parameter zones of monostability, bistability, and tristability where "active," "dormant," and "zero" tumor states can coexist. A detailed description of bifurcations, attractors, and their basins is given. Based on this mathematical analysis, we discuss efficiency of various programs of treatment combining chemotherapy and radiotherapy. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
45
Issue :
13
Database :
Complementary Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
158392171
Full Text :
https://doi.org/10.1002/mma.7706