Abstract

DIAZ-MARIN, Homero  and  OSUNA, Osvaldo. Periodic solutions for a model of tumor volume with anti-angiogenic periodic treatment. Rev.colomb.mat. [online]. 2021, vol.55, n.1, pp.13-20.  Epub Nov 04, 2021. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v55n1.99096.

In this work, we consider the dynamics of a model for tumor volume growth under a drug periodic treatment targeting the process of angiogenesis within the vascularized cancer tissue. We give suffcient conditions for the existence and uniqueness of a global attractor consisting of a periodic solution. This conditions happen to be satisfied by values of the parameters tested for realistic experimental data. Numerical simulations are provided illustrating our findings.

Keywords : Cancer treatment modelling; cooperative systems; periodic orbits; tumor development; angiogenesis.

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