ULTIMATE DYNAMICS OF A CANCER MODEL WITH ANGIOGENIC SWITCH AND COMBINED THERAPY

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Дәйексөз келтіру

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Аннотация

The properties of the ultimate dynamics of one 5D model of cancer tumor growth in the angiogenesis phase with additional modeling of chemotherapy and immunotherapy are considered. The ultimate upper bounds for all cell populations, as well as the lower bound for the immune cell population, are found. The conditions for global asymptotic eradication of the tumor are obtained in two situations: when only chemotherapy is used and when a combination of chemotherapy and immunotherapy is used. The study is based on the method of localization of compact invariant sets. The article also describes the boundary and internal equilibrium points and presents the results of numerical simulation illustrating the results obtained analytically.

Авторлар туралы

K. Starkov

Center for Research and Development in Digital Technologies of National Polytechnic Institute

Email: konstarkov@hotmail.com
Tijuana, Mexico

A. Kanatnikov

Bauman Moscow State Technical University

Email: skipper@hmsiu.ru
Moscow, Russia

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