This article is cited in 4 papers

Computer science

Mathematical modeling of cancer treatment

A. B. Goncharova^a, E. P. Kolpak^a, M. M. Rasulova^a, A. V. Abramova<sup>b

a</sup> St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
^b N. N. Petrov National Medical Research Center of Oncology of the Ministry of Healthcare of the Russian Federation, 68, ul. Leningradskaya, pos. Pesochny, St. Petersburg, 197758, Russian Federation

Abstract: 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.

UDC: 001.891.57

MSC: 97M60

Received: October 2, 2020
Accepted: October 23, 2020

DOI: 10.21638/11701/spbu10.2020.408