TY - JOUR AU - Knigavko, V. G. AU - Ponomarenko, N. S. AU - Protasenia, S. U. AU - Meshcheryakova, O. P. PY - 1970/01/01 Y2 - 2024/03/29 TI - Mathematical modeling of the tumor growth JF - Biophysical Bulletin JA - Bioph. Bull. VL - 2 IS - 27 SE - Biophysics of complex systems DO - UR - https://periodicals.karazin.ua/biophysvisnyk/article/view/2541 SP - AB - Hypothesis, allowing quantitatively to describe connection between tumor cells fission rate and degree oftheir oxygenation, has been formulated. Mathematical model of the tumors growth has been made on thebasis of this hypothesis and well-known methods of oxygen distribution in malignant simple shapetumors (spherical and plane). Analitical expressions, describing dependence on time of such parametersas tumor size, coordinates of surfaces, being boundary between normoxic and hypoxic areas, betweenproliferating and non-proliferating areas, between hypoxic and necrosis zone, have been received.Calculation results of indicated dependences in case of normoxic and hypoxic environment have beenproduced. ER -