GROWTH KINETICS OF MULTICELLULAR TUMOR SPHEROIDS: ANALYSIS BY MATHEMATICAL MODELLING
Abstract
Effect of oxygen and glucose on the cellular heterogeneity and growth kinetics of multicellulat tumor spheroids has been analyzed by a mathematical model. The model takes into account the processes of cell division, death and transition from proliferation to rsst in which oxygen and glucose are considered as nonspecific regulatory factors of cell viability. The model was used to analyze growth kinetics and cellular heterogeneity of EMT6/Ro murine mammary carcinoma cell spheroids growing under the standard conditions. The model gives a good representation of growth kinetics and oxygen distribution in spheroids and allows to study the proliferative heterogeneity of their cells. The comparison of model predictions with experimental data showed, that oxygen consumption rate per cell estimated theoretically more than 4 times lower as that measured experimentally.
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