MICROVASCULAR BLOOD-FLOW - EVIDENCE INDICATING A CUBIC DEPENDENCE ON ARTERIOLAR DIAMETER
MICROVASCULAR BLOOD-FLOW - EVIDENCE INDICATING A CUBIC DEPENDENCE ON ARTERIOLAR DIAMETER
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DOI：
10.1152/ajpheart.1983.245.6.h1031
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发表时间：
1983-01-01
影响因子：
--
通讯作者：
ROY, J
中科院分区：
文献类型：
--
作者：
MAYROVITZ, HN;ROY, J
The objectives of this study were to determine the functional relationship between microvascular blood flow (.ovrhdot.Q) and arteriolar internal diameter (D) and to determine whether this relationship conformed to the theoretical optimality prediction that blood flow is proportional to the cube of the arteriolar diameter (.ovrhdot.Q = kD3). Paired blood velocity and arteriolar diameter measurements in the cremaster muscle microvasculature of 8 normotensive (WKY) and 8 hypertensive (SHR) rats were made under control conditions and following maximal dilation of the microvasculature with topically applied adenosine. A total of 160 paired flow-diameter measurements were made in arteriolar vessels with diameters ranging from 6 to 108 .mu.m. Analysis of this data showed that .ovrhdot.Q and D were functionally linked by .ovrhdot.Q = kDm with k = 417 and m = 3.01 with D expressed in centimeters. Confidence intervals at the 99.9% level were 331-503 and 2.86-3.14 for k and m, respectively. A theoretical development based on the minimization of the energy cost of blood volume and arteriolar wall volume led to a theoretical estimate for the range of k to be 92-132 and a value for m to be 3. Predicted pressure gradients in single vessels of the cat mesentery and shear rates in the rat cremaster based on .ovrhdot.Q = kD3 compared well with measured data reported in the literature. Evidently, the relationship .ovrhdot.Q = kD3 represents a general average property of the microvasculature.
