Advances in Gerontology

, Volume 9, Issue 3, pp 308–316 | Cite as

Kinetic Model of Aging Biological Species in Natural Habitat

  • A. A. ViktorovEmail author
  • V. A. KholodnovEmail author
  • A. V. Anofriev


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.


aging uniform kinetics Drosofila mice rats dogs horses population of the Russian Federation mathematical model extrapolation 



The authors express their sincere thanks to PhD V.Yu. Solov’ev for his constant interest in the work, valuable advice and discussion, to the graduate student E.E. Morozova and to the student of Moscow Engineering Physics Institute I.S. Zhuravlev for participating in the processing of experimental data, drawing pictures, and discussing the results.


The authors declare that they have no conflict of interest. This article does not contain any studies involving animals or human participants performed by any of the authors.


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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Burnazyan Federal Medical Biophysical CenterMoscowRussia
  2. 2.Kotelnikov Institute of Radioengineering and ElectronicsMoscowRussia

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