Sharan M, Singh B
Centre for Atmospheric Sciences, Indian Institute of Technology, New Delhi.
Biosystems. 1990;24(3):209-14. doi: 10.1016/0303-2647(90)90035-y.
A numerical model is described for the oxygenation of blood in lung capillaries by considering the transport mechanisms of molecular diffusion, convection and the facilitated diffusion due to the presence of haemoglobin. In order to represent the oxygen dissociation curve accurately in the model, the nth order one-step kinetics of oxygen uptake by haemoglobin has been used. The resulting system of coupled, non-linear partial differential equations is solved numerically. It is shown that the blood is required to traverse a larger distance in the capillary before becoming fully oxygenated with nth order one-step kinetics in comparison to first-order one-step kinetics.
通过考虑分子扩散、对流以及由于血红蛋白存在而产生的易化扩散等传输机制，描述了一种用于肺毛细血管中血液氧合的数值模型。为了在模型中准确表示氧解离曲线，采用了血红蛋白摄取氧的n阶单步动力学。对由此产生的耦合非线性偏微分方程组进行了数值求解。结果表明，与一阶单步动力学相比，采用n阶单步动力学时，血液在毛细血管中需要穿行更大的距离才能完全氧合。
