Correlations and Statistical Memory Effects as Markers of Age-related Changes in Complex Systems of Living Nature

In this paper, we study the physical mechanisms of the biological aging phenomenon of complex systems of living nature. While theoretical approaches to the search for diagnostic criteria for various diseases of the human body have been developed to a sufficient extent, in studies of age-related changes in living systems, questions remain, primarily related to the search for ways to describe the physical aspects of the phenomenon of biological aging most fully. We show that the correlations and effects of statistical memory, established within the framework of the Memory Functions Formalism, can serve as markers of age-related changes in the neuromuscular system and visual-motor coordination of a person. The dynamometric signals of representatives of older age groups are characterized by a shorter lifetime of statistical memory and an increase in the scale of fluctuations compared to the signals of young volunteers. In addition, age-related changes lead to an obvious deformation and stratification of the spatiotemporal structures of signals in the phase space and a change in their spectral behavior. The results obtained will be of interest to data sciences, complex systems physics and gerontology.