A GREEN-FUNCTION METHOD FOR ANALYSIS OF OXYGEN DELIVERY TO TISSUE BY MICROVASCULAR NETWORKS
A GREEN-FUNCTION METHOD FOR ANALYSIS OF OXYGEN DELIVERY TO TISSUE BY MICROVASCULAR NETWORKS
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DOI：
10.1016/0025-5564(89)90083-7
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发表时间：
1989-09-01
影响因子：
4.3
通讯作者：
SECOMB, TW
中科院分区：
文献类型：
--
作者：
HSU, R;SECOMB, TW
一个理论模型，制定分析氧气输送从任意网络配置的圆柱形微血管的有限区域的组织。与基于经典Krogh圆柱体方法的模型相比，该模型不需要关于每个血管段提供氧气的组织区域的程度的先验假设。假设稳态条件，并且假设组织中的氧消耗是均匀的。考虑了氧合血红蛋白的非线性离解特性。一个计算有效的格林函数的方法，其中组织的氧场表示的源强度沿沿着每个段的分布。该模型的效用说明了由一个单一的段和由一个六段网络的立方组织区域的氧气输送的分析。结果发现，近端节段对总氧输送的贡献率随着流速和代谢率的降低而增加。
A theoretical model is formulated for analyzing oxygen delivery from an arbitrary network configuration of cylindrial microvessels to a finite region of tissue. In contrast to models based on the classical Krogh cylinder approach, this model required 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.