КОМПЛЕКСНА МАТЕМАТИЧНА МОДЕЛЬ САМООРГАНІЗАЦІЇ ФУНКЦІОНАЛЬНИХ СИСТЕМ ОРГАНІЗМУ ДЛЯ ІМІТАЦІЇ ПЕРЕБІГУ ВІРУСНОГО ЗАХВОРЮВАННЯ

The modern methodologic level of medical diagnostics allows to obtain only a certain section of the current state of a person, therefore, in medicine and physiology, mathematical models of the functional systems of the body are widely used, which, thanks to simulation, can be used to study it at a l...

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Bibliographic Details
Date:2020
Main Author: Aralova, N.I.
Format: Article
Language:English
Published: V.M. Glushkov Institute of Cybernetics of NAS of Ukraine 2020
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Online Access:https://jais.net.ua/index.php/files/article/view/483
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Journal Title:Problems of Control and Informatics

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Problems of Control and Informatics
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Summary:The modern methodologic level of medical diagnostics allows to obtain only a certain section of the current state of a person, therefore, in medicine and physiology, mathematical models of the functional systems of the body are widely used, which, thanks to simulation, can be used to study it at a level inaccessible to invasive methods. Mathematical models allow you to simulate such a complex integrative system as the human body, to predict its regulatory reactions and stationary conditions under extreme loads. To simulate the hypoxic state caused by the SARS-CoV-2 virus, it is proposed to use a complex mathematical model of the functional respiratory and circulatory system, thermoregulation, immune response and erythropoiesis to predict the course of the viral disease. The basis of the model is a mathematical model of the functional breathing system, which is a self-organized dynamic system in which the executive bodies of self-regulation focus their efforts on maintaining the equilibrium of partial pressures and stresses of respiratory gases at a given level of disturbing influences. The structure also includes mathematical models of the immune response and thermoregulation. Passive self-regulation mechanisms are represented by a mathematical model of erythropoiesis. Also, the structure of a complex mathematical model includes the equations of transport of a pharmacological preparation, which allows stabilizing the hypoxic state that occurs with a complicated course of the disease. Questions are being asked about refining the base model in the alveolar spaceblood section of pulmonary capillaries. With appropriate refinements, the model may be useful for simulating the course of a viral disease caused by SARS-CoV-2 and methods for correcting a hypoxic state.