The study of relaxation patterns of complex living systems aging on the example of human hand-eye coordination

In this paper, within the framework of the Memory Functions Formalism, we analyze the relaxation patterns of aging of complex living systems. The Memory Functions Formalism allows taking into account important aspects of living systems: a significant number of components, the interaction between which leads to the unique properties of composite objects, as well as the discreteness of the recorded signals. The application of the Memory Functions Formalism to the study of the discrete dynamics of complex systems allows achieving a reduced description: those relaxation processes that play a key role are singled out, which is reflected in the theoretical description. The demonstration of the method is presented on the example of the analysis of age-related changes in the visual-motor coordination of a person. The calculated parameters, as well as their local behavior, determine the different rates of relaxation processes implemented in the human neuromuscular system during biological aging. The results obtained are of interest to neurosciences, cognitive psychology, physics of complex systems and data sciences.