A MODEL FOR CAPILLARY EXCHANGE
A MODEL FOR CAPILLARY EXCHANGE
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DOI：
10.1152/ajplegacy.1966.210.6.1299
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发表时间：
1966-01-01
影响因子：
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通讯作者：
WILSON, TA
中科院分区：
文献类型：
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作者：
JOHNSON, JA;WILSON, TA
在前人实验工作的基础上，建立了考虑毛细管流动和经毛细血管交换的物质交换数学模型。给出了得到渐近解的很早时间和较晚时间的解。这些溶液给出了毛细管内浓度曲线以及细胞外空间浓度随时间的函数。渐近解表明，当Q为预融合速率，V为组织体积，P为渗透系数，A为毛细面积时，组织积累的速率常数为Q/V（I - exp - PA/Q）。早期时间解预测，由于模型中假设的快速细胞外扩散导致细胞外空间分流，在对流物质之外的毛细血管点将出现转运物质。在讨论中，对其他与经毛细血管交换量化有关的模型提出了批评。
A mathema-tical model based on previous experimental work for material exchange across capillary walls is developed for the case where both capillary flow and transcapillary exchange are taken into account. Solutions are given for very early times and for later times for which an asymptotic solution was obtained. These solutions give intracapillary concentration profiles as well as the concentration in the extracellular space as a function of time. The asymptotic solutions indicate that the rate constant for the tissue buildup is Q/V(I - exp - PA/Q) when Q is the per-fusion rate, V the tissue volume, P the permeability coefficient, and A is the capillary area. The early time solutions predict that there will be appearance of transported substance in the capillary at points beyond the convected material because of an extracellular space shunt due to the rapid extracellular diffusion postulated in the model. In the discussion criticisms are given of other models concerned with the quantification of transcapillary exchange.