The book addresses the construction of mathematical models of the circulatory system, the identification of its parameters and conditions, analysis of the constructed models, and offers the appropriate software for the personal computer, designed in a Windows environment. The book is intended for psychologists, researchers, mathematicians, applied scientists in the field of computer medicine.

The human blood circulation system is represented by a nonlinear oscillation system for computer-aided digital modeling in real time scale. A parametric identification problem is formulated and its numerical solution algorithm is designed. A computer-aided blood circulation modeling and identification system is designed. The new approaches to construct real control systems for artificial and auxiliary blood circulation elements are based on neurocomputer technologies.

The problem of identifiability by periodic-motion measurements is formulated and solved by a simplest two-circuit mathematical model of blood circulation system. By computeraided symbolic mathematics, the initial point of periodic motion is computed and properties of this motion are studied. The measuring system, which makes enables solving the problem of blood circulation system parametric identification unambiguously, is mathematically strictly defined. Recommendations for practical implementation of this measuring system are given.

A formulation of the problem of parametric identification from measurements of periodic motion was considered using a mathematical model of the blood circulation system. A method for its numerical solution on the basis of the random global search algorithm was proposed. A software realization of the identification procedure as parallel computation processes in the symmetrical multiprocessor computer systems and the distributed computation environment was described. Practical applications were considered using the example of factor analysis of the origins of arterial hypertension and also medical and sport applications, including the noninvasive monitoring of the level of blood hemoglobin and some kinds of stimulants.

Based on a mathematical model of the blood circulatory system, we construct a mathematical model for lactate metabolism in a human body. We pose the identification problem for lactate metabolism parameters by measurements. We develop the method, algorithm, and software for solving this identification problem. We also consider practical applications in sports medicine and the training process, in particular in our studies of the anaerobic threshold phenomenon and propose new methods for estimating the individual anaerobic threshold and maximal oxygen consumption for athletes.

The article presents a method of mathematical modeling and identification of parameters of the circulatory system for the measurement of the absolute value of circulating volume blood.

This work is devoted to the theoretical justification of a software and technological product that combines latest achievements in the field of mathematical computer modeling, sports physiology, and medicine. We present a review of theoretical foundations and practical solutions of the latest software and technological developments in the field of control over the training process in cyclic sports. We propose a new integrated approach to the training process planning, which combines known technology of the training impulse and a method for modeling individual physiological properties of the athlete’s body on the basis of the physiological avatar technology.