Mathematical models of respiratory and blood circulatory system

Машкіна, Ірина Вікторівна and Машкін, Валерій Йосипович and Аралова, Наталія Ігорівна and Ключко, Олена Михайлівна and Радзієвська, Марія Петрівна and Радзієвський, Павло Олександрович (2022) Mathematical models of respiratory and blood circulatory system Biotechnologia Acta (1). pp. 23-42. ISSN 2410-7751, 2410-776X

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Abstract

Two main approaches to the mathematical modeling of respiratory and blood circulatory systems exist for today. One of them is the construction of models of mechanics of respiration and blood circulation. They were based on the models of mechanics of solid deformable body, thermomechanics, hydromechanics, and mechanics of continuum media. This approach supposes the use of complex mathematical apparatus, including Navier-Stokes equation, which makes it possible to obtain a number of theoretical results, but it is hardly usable for real problems solutions at present time. The second approach was based on the model of F. Grodins, who represented the process of the breath as controlled dynamic system, written using ordinary differential equations, in which the control was carried out according to the feedback principle. There was significant number of modifications of this model, which made it possible to simulate various disturbing influences, such as physical activity, hypoxia and hyperemia, and to predict parameters characterizing functional respiratory system under these disturbing influences.

Item Type:	Article
Additional Information:	doi.org/10.15407/biotech15.01.023
Uncontrolled Keywords:	mathematical model of respiratory system; mathematical model of blood circulatory system; hypoxic state; theoretical analysis
Subjects:	Це архівна тематика Київського університету імені Бориса Грінченка > Статті у наукометричних базах > Index Copernicus Це архівна тематика Київського університету імені Бориса Грінченка > Статті у журналах > Фахові (входять до переліку фахових, затверджений МОН)
Divisions:	Це архівні підрозділи Київського університету імені Бориса Грінченка > Факультет інформаційних технологій та математики > Кафедра комп'ютерних наук
Depositing User:	Ірина Машкіна
Date Deposited:	04 Nov 2022 09:08
Last Modified:	04 Nov 2022 09:08
URI:	https://elibrary.kubg.edu.ua/id/eprint/42328

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