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肺气体传输的数学建模。

Mathematical modelling of pulmonary gas transport.

作者信息

Whiteley Jonathan P, Gavaghan David J, Hahn Clive E W

机构信息

Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, UK.

出版信息

J Math Biol. 2003 Jul;47(1):79-99. doi: 10.1007/s00285-003-0196-8.

Abstract

Equations governing the transport of the gases oxygen and carbon dioxide inside the pulmonary capillaries are written down. By analysing these equations it is predicted that there will be negligible limitation to the transport of oxygen when oxygen concentration takes a normal physiological or higher value. For low values of oxygen concentration, there may be limitation to oxygen transport. It is predicted further that the quantity of carbon dioxide excreted from blood into alveolar gas is dependent on oxygen concentration, with low oxygen concentrations inhibiting the carbon dioxide transport process. The relatively slow reaction involving carbon dioxide in plasma also inhibits the excretion of carbon dioxide. These predictions are verified by solving the whole system of governing equations numerically.

摘要

写下了控制氧气和二氧化碳在肺毛细血管内传输的方程。通过分析这些方程可以预测,当氧气浓度处于正常生理值或更高值时,氧气传输的限制可以忽略不计。对于低氧气浓度值,氧气传输可能会受到限制。进一步预测,从血液排入肺泡气的二氧化碳量取决于氧气浓度,低氧气浓度会抑制二氧化碳的传输过程。血浆中涉及二氧化碳的相对缓慢的反应也会抑制二氧化碳的排泄。通过对整个控制方程组进行数值求解,验证了这些预测。

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