Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2020, Volume 16, Issue 4, Pages 437–446
DOI: https://doi.org/10.21638/11701/spbu10.2020.408
(Mi vspui469)
 

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
Full-text PDF (440 kB) Citations (4)
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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
Document Type: Article
UDC: 001.891.57
MSC: 97M60
Language: Russian
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
Citation in format AMSBIB
\Bibitem{GonKolRas20}
\by A.~B.~Goncharova, E.~P.~Kolpak, M.~M.~Rasulova, A.~V.~Abramova
\paper Mathematical modeling of cancer treatment
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2020
\vol 16
\issue 4
\pages 437--446
\mathnet{http://mi.mathnet.ru/vspui469}
\crossref{https://doi.org/10.21638/11701/spbu10.2020.408}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    Abstract page:100
    Full-text PDF :19
    References:22
    First page:8
     
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