The basis of the PhA project is a digital mathematical model of the human circulatory system, proposed Yu.V.Solodyannikov. In the 70-90-ies of XX century. This model was developed as part of research on artificial heart, led V. Shumakov. The original version of the model described only circulation. As a result of development in the 90 years was included in the model approach to formalizing regulation cardiac contractility, developed in the school N. Amosov. Further studies have to effectively implement this model in silico and identification methods its parameters.
In the modern version of a mathematical model of the circulatory system It includes ideas and methods of the theory homeostatic systems theory allometric parameters depending on the weight of the bodyy (Allometric laws) and intensively developed at present the theory of neural networks. Neural network analogy atrioventricular node of the heart, conduction His-Purkinje system and the autonomic nervous system, control the tone of blood vessels used to build model of neuro-humoral regulation of the cardiovascular system. The model describes both the systemic circulation.
Further, based on a mathematical model of the circulatory system has been built mathematical model of lactate metabolism in the human body, the task of identifying the parameters of lactate exchange on measurements, methods, algorithms and software to solve the problem of identification. It has been proposed new methods of assessing the level of the individual anaerobic threshold and maximal oxygen uptake in athletes.
Review of mathematical models of physiological systems and the bases of physiological avatar technology. The report is presented based on the report "Physiological Avatar technology in problems of sports" on the III-th interdisciplinary scientific and practical seminar "Mathematical Methods and Models in Sport", held on 12.16.2015 at the Center for Sports Technology at Moscomsport.
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