350 rub
Journal Biomedical Radioelectronics №12 for 2011 г.
Article in number:
Imitation of Influence of the Increased Concentration of Dioxide of Carbon on Gasexchange of the Person on the Basis of Mathematical Model Respiratory System
Keywords:
mathematical model
minute volume of breath
imitation
regulation
breath
respiratory system
hypercapnia
Authors:
T.V. Matjushev, M.V. Dvornikov
Abstract:
The work purpose was working out of a technique of definition and an estimation of physiological reactions of the person in the conditions of influence hypercapniaon the basis of imitating model of respiratory system. For achievement of this purpose following problems have been put and solved:
the mathematical model of respiratory system of an organism is developed;
programmable the computing algorithm of model is realized on the computer;
computing experiment is made. At carrying out of computing experiment it was simulated influences hypercapnia on behaviors of system, and model check on adequacy of model was lead.
By model working out the concept of division of physiological system of regulation has been put in a basis of the formalized description on active and passive subsystems of regulation. The model was under construction stage by stage. In the beginning the base biophysical model of system of gas exchange was developed, she was supplemented with following models of components of system:
Model of physical and chemical properties of blood and alkaline balance;
Model passive regulators gas exchange mechanisms;
Model of chemical regulation on which basis properties of full model be considered.
At program realization of model, calculations were carried out in the environment of programming MatLab. For the decision of the equations method Runge-Kutta-Fehlberga was used.
The character of reactions simulated in computing experiment, coincided with character of physiological reactions in real process. The spent check on adequacy has confirmed that the error of calculations is in limits of an error of imental data.
Pages: 49-58
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