Clark A, Federspiel W J, Clark P A, Cokelet G R
Biophys J. 1985 Feb;47(2 Pt 1):171-81. doi: 10.1016/s0006-3495(85)83890-x.
This paper deals with the theoretical analysis of the unloading of oxygen from a red cell. A scale analysis of the governing transport equations shows that the solutions have a boundary layer structure near the red-cell membrane. The boundary layer is a region of chemical nonequilibrium, and it owes its existence to the fact that the kinetic time scales are shorter than the diffusion time scales in the red cell. The presence of the boundary layer allows an analytical solution to be obtained by the method of matched asymptotic expansions. A very useful result from the analysis is a simple, lumped-parameter description of the oxygen delivery from a red cell. The accuracy of the lumped-parameter description has been verified by comparing its predictions with results obtained by numerical integration of the full equations for a one-dimensional slab. As an application, we calculate minimum oxygen unloading times for red cells.
本文探讨了红细胞中氧气卸载的理论分析。对控制传输方程的尺度分析表明，解在红细胞膜附近具有边界层结构。边界层是化学非平衡区域，其存在归因于动力学时间尺度比红细胞中的扩散时间尺度短这一事实。边界层的存在使得通过匹配渐近展开法能够获得解析解。该分析的一个非常有用的结果是对红细胞氧气输送的简单集总参数描述。通过将其预测结果与一维平板完整方程的数值积分结果进行比较，验证了集总参数描述的准确性。作为应用，我们计算了红细胞的最小氧气卸载时间。
