Sharan M, Aminataei A, Singh M P
Int J Biomed Comput. 1987 Mar;20(3):191-209. doi: 10.1016/0020-7101(87)90029-8.
A mathematical model is made to describe the process of gas exchange in the pulmonary circulation incorporating the contribution of axial diffusion. The model takes into account the transport mechanisms of molecular diffusion, convection and facilitated diffusion due to the presence of haemoglobin as a carrier of the gases. The mathematical formulation leads to a coupled system of non-linear elliptic partial differential equations. A numerical scheme is described to solve such a system. It is found that the axial diffusion does not have an appreciable effect on the transport of the species in the blood.
建立了一个数学模型来描述肺循环中的气体交换过程，其中纳入了轴向扩散的影响。该模型考虑了由于血红蛋白作为气体载体的存在而产生的分子扩散、对流和易化扩散等传输机制。数学公式推导得出了一个非线性椭圆型偏微分方程组。描述了一种求解该方程组的数值方法。结果发现，轴向扩散对血液中物质的传输没有明显影响。
