350 rub
Journal Biomedical Radioelectronics №9 for 2011 г.
Article in number:
Mathematical Model of Chemical Regulation of Respiratory System of the Organism
Keywords:
mathematical model
minute volume of breath
imitation
regulation
breathes
respiratory system
Authors:
Т.V. Matjushev, M.V. Dvornikov
Abstract:
The work purpose consisted in working out and a substantiation of mathematical model of chemical regulation of respiratory system of organism. For achievement of the specified purpose it was necessary to solve following problems:
1) to develop model of active mechanisms of regulation of breath;
2) to compare results of computing experiment with experimental data.
The model of active mechanisms of external breath represented system of the equations for definition of dy-namics of ventilation depending , and рН. For base model of active mechanisms we had been chose the algebraic model which has obtained the greatest recognition Gray J.S. The developed system of the equations in which basis the regulation principle on a deviation is put, allows defining current values of ventilation of lungs at change of gas structure of arterial blood. The analysis of the received results of comparison of calculations with theoretical curves allows asserting, that the model of chemical regulation of gas exchange adequately reflects character of physiological reactions. The system aspires to reduce to a minimum of a deviation resulted above chemical indicators of arterial blood from the adjusting values which sizes correspond to optimum concentration in blood О2, СО2 and Н + (conditions of «chemical comfort»).
Pages: 67-71
References
- Амосов Н. М., Палец. Б.Л., Агапов Б.Т. и др. Теоретические исследования физиологических систем. Киев: Наукова думка. 1977. 361с.
- Вейбель Е.P.Морфометрия легких человека / пер. с англ. М.: Медицина. 1970. 175 с.
- Гродинз Ф. Теория регулирования и биологические системы. М.: Мир. 1966. 133 с.
- Колчинская А. 3., Лауэр Н. В., Шкабара Е. А. О регулировании кислородных режимов организма // В кн.: Кислородный режим организма и его регулирование. К.: 1966. С. 341-356.
- Маршак М. Е. Регуляция дыхания у человека. М.: Медгиз. 1961. 267 с.
- Маршак М. Е. Физиологическое значение углекислоты. М.: Медицина. 1969. 143 с.
- Комро Д. Г., Фостер Р. Э., Дюбуа А. Б., Бриско У. А. Легкие. Клиническая физиология и функциональные пробы / пер. с англ. М.: Медгиз. 1961. 196 с.
- Тевс Г. Транспорт газов кровью и кислотно-щелочное равновесие // Физиология человека: В 3-х томах. Т. 2 / пер. с англ. / под ред. Р. Шмидта и Г. Тевса. 3-еизд. М.: Мир. 2004. С. 605 - 625.
- Gray J. S.The multiple factor theory of respiratory regulation // Army Air Force School of Aviation Medicine Proj Rent. 1945. 386 p.
- Harrison W. G., Calhoun J., Harrison T. R. // Am J. Physiol. 1932. V. 100. P. 68.
- Heymans C. Chemoreceptors and regulation of respiration // Acta Physiol. Scand. 1951. Feb. 21. V. 22(1). P. 1-13.
- Holdane J. S., Priestley J. G. The regulation of the lung ventilation // J. Physiol. London. 1905. V. 32. P. 255-266.
- Ilorsjield K., Dart G., Olson D. E. et al. Models of the human bronchial tree // J. Appl. Physiol. 1971. V. 31. P. 207-217.
- Otis A. B.Qualitative relationships in steady-state gas exchange // Handbook of physiology Sect. 3. Respiration. Wash. (D. C). 1963. V. 1. №. 27. P. 681-698.
- Rahn H., Farhi L.E. Ventilation, perfusion and gas exchange the Va/Q concept // Handbook of Physiology. Sec. 3. Respiration. V.1. Washington. 1964. P. 735-766.
- Severinghaus J. W.Blood Gas Concentrations // Handbook of Physiology, section 3. Respiration. V. II, chapt. 61. P. 1477. American Physiological Society. Washington. 1965.
- Thews G. Nomogramme zum Saure-Basen-Status des Blutes und Atemgastransport. Berlin-Heidenberg-New York.: Springer. 1971.