Mathematical Model of Respiratory Gas Exchange at Stationary Conditions
Exchange of respiratory gases in an organism is a corporate process in which the ventilatory, circulatory and metabolic functions are involved (Wasserman et al, 1967). The properties of the respiratory gases exchange system are determined by a number of regulatory mechanisms and the oxygen and carbon dioxide carrying properties of the blood. The system is multivariant with many inputs and outputs therefore the mathematical models can be considered as an important tool in understanding its behaviour. In this communication a simple mathematical model is introduced for studying the respiratory gases exchange at stationary conditions, in which the ventilation is regulated by the arterial values of carbon dioxide and oxygen, and the blood flow is assumed to depend on the metabolic needs of the tissue. The input parameters are external pressures of oxygen and carbon dioxide, oxygen consumption rate in tissue and respiratory quotient. The outputs are arterial and venous concentrations of oxygen and carbon dioxide, arterial and venous pH, ventilation and blood flow.
KeywordsOxygen Consumption Rate Respiratory Quotient Local Blood Flow Tissue Blood Flow Venous Concentration
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