Integrated mathematical modelfor imitation of the course of viral disease and correction of the induced hypoxic state

Машкіна, Ірина Вікторівна and Машкін, Валерій Йосипович and Аралова, Наталия Игоревна and Ключко, Олена Михайлівна and Семчик, Тетяна Анатоліївна (2020) Integrated mathematical modelfor imitation of the course of viral disease and correction of the induced hypoxic state Biotechnologia Acta, 13 (3). pp. 30-44. ISSN 2410-7751

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Abstract

In the present work the methods of mathematical modeling and theory of optimal control of moving objects were used. The proposed integrated mathematical model consisted on the mathematical models of functional systems of respiration and blood circulation, thermoregulation, immune response, erythropoesis, and pharmacological correction. Individual patient data were taken for this model, and the disturbing effect in the form of viral disease was simulated. The reactions of functional respiratory and blood circulatory systems were predicted. Partial pressures of respiratory gases in alveolar spaces and their tensions in lung capillaries blood, arterial and mixed venous blood, and tissue fluid were calculated. Further the intravenous injection of antihypoxant was simulated and the values of the same parameters were calculated. In such a way it was possible to choose the most optimal way of hypoxic state correction for any individual.

Item Type: Article
Uncontrolled Keywords: SARS-Cov-2 virus; immune response model; mathematical model of the respiratory system; hypoxic state; infection lesion
Subjects: Статті у журналах > Фахові (входять до переліку фахових, затверджений МОН)
Статті у журналах > Наукові (входять до інших наукометричних баз, крім перерахованих, мають ISSN, DOI, індекс цитування)
Divisions: Факультети > Факультет інформаційних технологій та управління > Кафедра комп'ютерних наук і математики
Depositing User: Ірина Машкіна
Date Deposited: 08 Dec 2020 08:55
Last Modified: 28 Dec 2020 10:46
URI: https://elibrary.kubg.edu.ua/id/eprint/33493

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