MATHEMATICAL MODEL OF MULTISTAGE AGING IN ADAPTIVE SYSTEMS
Gompertz-Makeham model based on the assumption that the deterioration in terms of an idealized «viability», but it does not respond to the observed phenomenon of multistage aging. In particular, it does not account for the phenomena of developmental transformations. After each of these moments there is a period of increased mortality. For example, increased infant mortality or the occurrence of climacteric pause – corresponding rise in mortality for this. The present work is devoted to the construction of a mathematical model, partly due to a pattern of occurrence of the stages of the aging process. The basic assumption is the following hypothesis is that failure to compensate for the metabolic implemented compensatory adaptive global restructuring, providing at a later stage in the framework of the full functioning of the new stage. Thus, each structural adjustment should allow the system to operate stably as long as possible «dispensing» without changing the structure of the next. The problem of optimization of the timing of the change of stages in the form of a compromise: for each change of stages have to «pay» a temporary increase in mortality due to local maladjustment. In addition, each such change leads to the emergence of a new stage of sustainable modes of operation, eliminating maladjustment, formed as a result of accumulated wear and tear of aging.