TY - JOUR

T1 - Chaotic transitions in a tumor-immune model under chemotherapy treatment

AU - Bashkirtseva, Irina

AU - Ryashko, Lev

AU - Seoane, Jesús

AU - Sanjuán, Miguel

N1 - The work of IB and LR on the bifurcation analysis and description of attractors has been supported by Ministry of Science and Higher Education of the Russian Federation “Ural Mathematical Center” (N 075-02-2024-1428). The work of JMS and MAFS on the mathematical models and data processing has been financially supported by the Spanish State Research Agency (AEI) and the European Regional Development Fund (ERDF) under Project No. PID2019-105554GB-I00 (MCIN/AEI/10.13039/501100011033).

PY - 2024/5/1

Y1 - 2024/5/1

N2 - In this work, we study a tumor model under chemotherapy treatment in which the drug directly affects an isolated population of the tumor cells. By using a dimensionless version of the model, we analyze the behavior of the tumor when we increase the intensity of the chemotherapy in function of the recruitment parameter. Our research shows that, for a certain interval of parameter there is a region for which the tumor is stable under the action of the chemotherapy. Besides, we consider the dynamical behavior of the tumor for different scenarios characterizing the parts where there is chaotic dynamics by calculating the distribution of the largest Lyapunov exponents (LLE) in function of the drug intensity. Our findings show that chaotic behavior takes place when the drug treatment starts acting on the organism and it disappear when the chemotherapy intensity crosses a certain specific parameter value. Finally, we expect these results to be useful for a better understanding of the development of a tumor in presence of a chemotherapy treatment.

AB - In this work, we study a tumor model under chemotherapy treatment in which the drug directly affects an isolated population of the tumor cells. By using a dimensionless version of the model, we analyze the behavior of the tumor when we increase the intensity of the chemotherapy in function of the recruitment parameter. Our research shows that, for a certain interval of parameter there is a region for which the tumor is stable under the action of the chemotherapy. Besides, we consider the dynamical behavior of the tumor for different scenarios characterizing the parts where there is chaotic dynamics by calculating the distribution of the largest Lyapunov exponents (LLE) in function of the drug intensity. Our findings show that chaotic behavior takes place when the drug treatment starts acting on the organism and it disappear when the chemotherapy intensity crosses a certain specific parameter value. Finally, we expect these results to be useful for a better understanding of the development of a tumor in presence of a chemotherapy treatment.

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U2 - 10.1016/j.cnsns.2024.107946

DO - 10.1016/j.cnsns.2024.107946

M3 - Article

VL - 132

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

M1 - 107946

ER -