Hsu R, Secomb T W
Math Biosci. 1989 Sep;96(1):61-78. doi: 10.1016/0025-5564(89)90083-7.
A theoretical model is formulated for analyzing oxygen delivery from an arbitrary network configuration of cylindrical microvessels to a finite region of tissue. In contrast to models based on the classical Krogh cylinder approach, this model requires no a priori assumptions concerning the extent of the tissue region supplied with oxygen by each vessel segment. Steady-state conditions are assumed, and oxygen consumption in the tissue is assumed to be uniform. The nonlinear dissociation characteristics of oxyhemoglobin are taken into account. A computationally efficient Green's function approach is used, in which the tissue oxygen field is expressed in terms of the distribution of source strengths along each segment. The utility of the model is illustrated by analyses of oxygen delivery to a cuboidal tissue region by a single segment and by a six-segment network. It is found that the fractional contribution of the proximal segments to total oxygen delivery increases with decreasing flow rate and metabolic rate.
建立了一个理论模型，用于分析从任意圆柱形微血管网络配置到有限组织区域的氧气输送。与基于经典克罗格圆柱体方法的模型不同，该模型无需事先假设每个血管段供应氧气的组织区域范围。假设为稳态条件，且假设组织中的氧气消耗是均匀的。考虑了氧合血红蛋白的非线性解离特性。使用了一种计算效率高的格林函数方法，其中组织氧场根据沿每个段的源强度分布来表示。通过分析单段和六段网络向长方体组织区域的氧气输送，说明了该模型的实用性。结果发现，近端段对总氧气输送的贡献率随着流速和代谢率的降低而增加。
