[Mathematical modeling of oxygen diffusion and consumption in malignant tumor].
A mathematical model of oxygen diffusion and consumption in a malignant spherical tumor was developed. The model takes into account the dependence of the rate of oxygen consumption by cells on oxygen concentration. The expressions for the description of the dependence of oxygen concentration on the coordinate in the tumor are presented. Some model parameters were estimated from known experimental data. The hypoxic cells fraction (index related to tumour radioresistance) at critical and limiting tumor sizes were calculated.
V G
VG
Knigavko
M A
MA
Bondarenko
D000818:Animals; D004058:Diffusion; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000378:metabolism*; D010101:Oxygen Consumption