Mathematical Models of Conflict Controlled Processes under Functional Self-Organization of the Respiratory System

• Дата: 2019
• Автори: Aralova, N.I., Aralova, A.A.
• Формат: Стаття
• Мова: English
• Опубліковано: Міжнародний науково-навчальний центр інформаційних технологій і систем НАН України та МОН України 2019
• Назва видання: Кибернетика и вычислительная техника
• Теми: Medical and Biological Cybernetics
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/161757
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Mathematical Models of Conflict Controlled Processes under Functional Self-Organization of the Respiratory System / N.I. Aralova, A.A. Aralova // Cybernetics and computer engineering. — 2019. — № 3 (197). — С. 65-79. — Бібліогр.: 7 назв. — англ. .

The purpose of the paper is to build a mathematical model of a functional respiration system that simulates resolving a conflict situation between executive and managing bodies of self-regulation in the conflict for oxygen, which allows predicting the parameters of selforganization of the respiratory system under internal and external disturbances. Results. A mathematical model of mass transfer and mass transfer of respiratory gases in the human body is presented in the form of a system of non-linear differential equations, which is a controlled dynamic system, the state of which is determined at each time point by oxygen and carbon dioxide stresses in each structural link of the respiratory system (alveoli, blood and tissues).