MATHEMATICAL MODEL OF CHANGES IN THE WEAR OF AGING
Multistage phenomenon inherent in many processes of development, is a common, if not universal. The analysis of multistage events that takes place under conditions of deterioration (aging), is based on the description, developed in the framework of gerontology. This article is devoted to the phenomenon of multistage related on the developmental events and on the processes of aging / wear of long-lived individuals. For the mathematical model creation the modular principle is implemented: each of the processes of adaptation, rehabilitation, protection and destruction is considered as a primary model of the multistage changes during the aging. Well known Gompertz-Makeham model of is now one of the most important mathematical models in gerontology, but this model can not correspond to the phenomenon of multistage aging. Particularly it is not adequate for the investigation of the events of developmental reorganization. At the times of such reorganization usually the period of heightened mortality is observed, which is caused by maladjustment followed by an adaptation. Thus the problem of the mathematical modeling and simulation under mentioned principals is important. Physiological processes of adaptation, recovery, protection and destruction are the main components in the construction of simple but adequate models of multi-stage aging or wear. It becomes possible to explain the observed episodic increases in mortality from one ontogenetic stage to the next. To further develop models, along with various deterministic approaches, a stochastic description proves to be productive, the foundations of which are given in this paper.