2019
DOI: 10.1007/s10441-019-09344-0
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Control by Viability in a Chemotherapy Cancer Model

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Cited by 5 publications
(3 citation statements)
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“…In this work, we adapt the set-valued analysis methods developed in the previous works [11][12][13][14][15][16][17][18], to approach a model of combined chemotherapy control in cancer, and make the solution viable on decreasing subset, with converging tumor density towards zero [11]. Investigates a general class of immunotherapy ODE models and gives some numerical examples [12]. Evokes viability and set-valued theories to provide chemotherapy protocol laws [13].…”
Section: Introductionmentioning
confidence: 99%
“…In this work, we adapt the set-valued analysis methods developed in the previous works [11][12][13][14][15][16][17][18], to approach a model of combined chemotherapy control in cancer, and make the solution viable on decreasing subset, with converging tumor density towards zero [11]. Investigates a general class of immunotherapy ODE models and gives some numerical examples [12]. Evokes viability and set-valued theories to provide chemotherapy protocol laws [13].…”
Section: Introductionmentioning
confidence: 99%
“…Cancer is one of the significant causes of global mortality and morbidity and remains a compelling challenge for public health ( 1 , 2 ). For instance, prostate cancer is the most common cancer in men after lung cancer ( 3 ).…”
Section: Introductionmentioning
confidence: 99%
“…Mathematical modeling of biological phenomena has a long history, where several studies have been established. Notably, cancer and its evolution, which has a great interest of mathematical researchers [3,7,10,15,17,19,20], in the purpose of understanding the dynamics of tumor cells and their interaction with other types of cells, and by analyzing mathematical models to obtain results that can help medical staff to take a decision. For example, Depillis et.…”
Section: Introductionmentioning
confidence: 99%