[The modelling of survival and mortality curves for human populations based on the theory of reliability]. / Modelirovanie krivykh vyzhivaniia i smertnosti populiatsii cheloveka na osnove teorii nadezhnosti.

The reliability theory model of aging (Kol'tover 1981, 1982) was used for analysis of life-tables of Swedish males and females for 1951-1955, 1962-1973 and 1971-1975 calendar years. In terms of the model it has been possible 1) to explain the Gompertz "law" of mortality; 2) to describe quantitatively statistical life-table data including Gompertz's and geriatric ages; 3) to predict the behavior of mortality rate function depending on the extent of population heterogeneity, among them the existence, at respective degrees of heterogeneity, of a maximum in geriatric age range and 4) to estimate the species-specific maximum life-span potential of animals.

[A diffusion kinetics model of the growth of a cancerous tumor]. / Diffuzionno-kineticheskaia model' rosta rakovoi opukholi.

Diffusion kinetics model of development of solid tumor has been proposed. This model allows qualitative description of a number of experimental effects, e.g. formation of necrosis zones, change of exponential growth to linear one. Critical parameters for transfer from tumor stabilization mode to its growth have been obtained. Methods of calculation have been elaborated and model calculations have been carried out.