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This article is cited in 4 scientific papers (total in 4 papers)
Computer science
Mathematical modeling of cancer treatment
A. B. Goncharovaa, E. P. Kolpaka, M. M. Rasulovaa, A. V. Abramovab a 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.
Received: October 2, 2020 Accepted: October 23, 2020
Citation:
A. B. Goncharova, E. P. Kolpak, M. M. Rasulova, A. V. Abramova, “Mathematical modeling of cancer treatment”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 16:4 (2020), 437–446
Linking options:
https://www.mathnet.ru/eng/vspui469 https://www.mathnet.ru/eng/vspui/v16/i4/p437
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Abstract page: | 100 | Full-text PDF : | 19 | References: | 22 | First page: | 8 |
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