TY - JOUR

T1 - Mathematical models of ovarian tumors

AU - Kolpak, Eugeny P.

AU - Kabrits, Sergey A.

AU - Khokhriakova, Anastasiia A.

AU - Rasulova, Madina M.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - The article presents mathematical models of ovarian tumors. The models are based on a mathematical simulation of interference competition. Two types of cells are involved in the competition for nutrition: normal and tumor cells. The mathematical interpretation of models is the Cauchy problem for a system of ordinary differential equations. Based on the model, the dynamics of tumor growth is determined. A model for the distribution of conditional patients in the four stages of the disease and a model for assessing survival times in groups of conditional patients are proposed.

AB - The article presents mathematical models of ovarian tumors. The models are based on a mathematical simulation of interference competition. Two types of cells are involved in the competition for nutrition: normal and tumor cells. The mathematical interpretation of models is the Cauchy problem for a system of ordinary differential equations. Based on the model, the dynamics of tumor growth is determined. A model for the distribution of conditional patients in the four stages of the disease and a model for assessing survival times in groups of conditional patients are proposed.

KW - Differential equations

KW - Incidence

KW - Mathematical modeling

KW - Statistics

KW - Treatment

KW - Tumors

UR - http://www.scopus.com/inward/record.url?scp=85089307055&partnerID=8YFLogxK

U2 - 10.31838/ijpr/2020.SP1.153

DO - 10.31838/ijpr/2020.SP1.153

M3 - Article

AN - SCOPUS:85089307055

VL - 12

SP - 1027

EP - 1032

JO - Journal of International Pharmaceutical Research

JF - Journal of International Pharmaceutical Research

SN - 0975-2366

ER -