Geodesic
Mathematical modeling of cancer treatment
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 16 (2020) no. 4, pp. 437-446

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The paper proposes mathematical models of ovarian neoplasms. The models are based on a mathematical model of interference competition. Two types of cells are involved in the competition for functional space: normal and tumor cells. The mathematical interpretation of the models is the Cauchy problem for a system of ordinary differential equations. The dynamics of tumor growth is determined on the basis of the model. A model for the distribution of conditional patients according to four stages of the disease, a model for assessing survival times for groups of conditional patients, and a chemotherapy model are also proposed.
Keywords: differential equations, mathematical modeling, neoplasms, ovarian cancer, morbidity, treatment, statistics. 
@article{VSPUI_2020_16_4_a7,
     author = {A. B. Goncharova and E. P. Kolpak and M. M. Rasulova and A. V. Abramova},
     title = {Mathematical modeling of cancer treatment},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {437--446},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2020_16_4_a7/}
}
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%A M. M. Rasulova
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A. B. Goncharova; E. P. Kolpak; M. M. Rasulova; A. V. Abramova. Mathematical modeling of cancer treatment. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 16 (2020) no. 4, pp. 437-446. http://geodesic.mathdoc.fr/item/VSPUI_2020_16_4_a7/