Periodic solutions for a model of tumor volume with anti-angiogenic periodic treatment

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 sufficient conditions for the existence and uniqueness of a global attractor consisting of a periodic solutio...

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Bibliographic Details
Published in:Revista colombiana de matemáticas 2021-10, Vol.55 (1), p.13-20
Main Authors: Díaz-Marín, Homero, Osuna, Osvaldo
Format: Article
Language:eng ; por
Subjects:
Angiogenesis
Antiangiogenics
Cancer
Mathematical models
MATHEMATICS
Orbits
Tumors
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Summary: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 sufficient 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.
ISSN:0034-7426
2357-4100
DOI:10.15446/recolma.v55n1.99096