Dynamics of Regulatory Mechanisms of the Human Organism on the Basic Hierarchical Levels of the Organization

Innovative Technology of Mathematical Modeling of Regulatory Mechanisms Medical Informatization

“…Methods were developed for the qualitative and quantitative analysis on RS of the characteristic solutions of the equations of regulatorics using the analysis of the corresponding phase and parametric portraits, calculation of the Kolmogorov entropy, Lyapunov exponent, Hausdorff, information and higher dimensions of the system under consideration. Software tools for diagnosing, treating, and predicting the outcome of diseases have been built taking into account the structural and functional organization of cells, intercellular relationships, and body control in specific areas of the organs and tissues under consideration [3][4][5][6][7][8]. This allows us to carry out computational experiments at an object that is usual for representatives of medicine, to efficiently interpret the results of computer modeling of the functioning of the body under normal conditions and with anomalies, to develop real scientifically based recommendations for improving the body's condition in diseases, including using modern telemedicine for remote medical monitoring the patient's health.…”

Mathematical Modeling of Regulatory Mechanisms for the Propagation of Excitation in the Central Nervous System

“…Moreover, such a choice of coefficients significantly complicates the analysis of the system [6]. With application of functional differential equations with delayKhidirov, the modeled system has an innate tendency to the presence of an oscillatory mode of solutions [7][8][9][10][11]. Since these equations make it possible to take into account the temporal relationships in the regulation system, their use for modeling the regulatory mechanisms of the propagation of excitation in the CNS is most justified.…”