Математическое моделирование лечения онкологического заболевания

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Математическое моделирование лечения онкологического заболевания. / Goncharova, A. B.; Kolpak, E. P.; Rasulova, M. M.; Abramova, A. V.

In: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ, Vol. 16, No. 4, 12.2020, p. 437-446.

Research output: Contribution to journal › Article › peer-review

Author

Goncharova, A. B. ; Kolpak, E. P. ; Rasulova, M. M. ; Abramova, A. V. / Математическое моделирование лечения онкологического заболевания. In: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ. 2020 ; Vol. 16, No. 4. pp. 437-446.

BibTeX

@article{e3e3e2c5a4c94278aa73d6b9e9d175f2,

title = "Математическое моделирование лечения онкологического заболевания",

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, Morbidity, Neoplasms, Ovarian cancer, Statistics, Treatment",

author = "Goncharova, {A. B.} and Kolpak, {E. P.} and Rasulova, {M. M.} and Abramova, {A. V.}",

year = "2020",

month = dec,

doi = "10.21638/11701/spbu10.2020.408",

language = "русский",

volume = "16",

pages = "437--446",

journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",

issn = "1811-9905",

publisher = "Издательство Санкт-Петербургского университета",

number = "4",

}

RIS

TY - JOUR

T1 - Математическое моделирование лечения онкологического заболевания

AU - Goncharova, A. B.

AU - Kolpak, E. P.

AU - Rasulova, M. M.

AU - Abramova, A. V.

PY - 2020/12

Y1 - 2020/12

N2 - 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.

AB - 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.

KW - Differential equations

KW - Mathematical modeling

KW - Morbidity

KW - Neoplasms

KW - Ovarian cancer

KW - Statistics

KW - Treatment

UR - http://www.scopus.com/inward/record.url?scp=85101303339&partnerID=8YFLogxK

U2 - 10.21638/11701/spbu10.2020.408

DO - 10.21638/11701/spbu10.2020.408

M3 - статья

VL - 16

SP - 437

EP - 446

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 4

ER -

ID: 73064177