Kinetic Model of Aging Biological Species in Natural Habitat

Abstract

It is found that the rate of change (kinetics) of the probability of death of representatives of living systems (LS) of different biological species—Drosophila, mice, rats, dogs, horses, and people in natural environments residing in different geographical areas—is described by a kinetic equation with similar values of the parameters. However, the kinetics of the probability of death of young people and rats, starting from birth, is more accurately described by a kinetic equation of a slightly different type, taking into account the prevailing process of development and adaptation of the organism to the environment. On the basis of a single kinetic approach to the description of the probability of death, an analytical model of the intensity of mortality in LS (approximation of the mortality rate—MR) is developed. It is shown that the approximation proposed by Gompertz to MR by an increasing exponent (law of Gompertz) is a special case of the unified mathematical model proposed in this paper.