THE NUMBER OF GLOMERULAR CAPILLARIES ESTIMATED BY AN UNBIASED AND EFFICIENT STEREOLOGICAL METHOD
THE NUMBER OF GLOMERULAR CAPILLARIES ESTIMATED BY AN UNBIASED AND EFFICIENT STEREOLOGICAL METHOD
复制标题
DOI：
10.1111/j.1365-2818.1993.tb03356.x
复制
发表时间：
1993-07-01
期刊：
影响因子：
--
通讯作者：
MARCUSSEN, N
中科院分区：
文献类型：
--
作者：
NYENGAARD, JR;MARCUSSEN, N
评估了基于用解剖器估计欧拉-庞加莱特性或欧拉数的无偏毛细管数估计方法。新毛细管的产生在毛细管网络中创建了一个新的环路，对应于网络欧拉数中恰好一个单位的变化。这样，欧拉数与网络中毛细血管的数量具有一对一的关系。在本报告中，对大鼠肾小球毛细血管进行了计数。 14只灌注固定的大鼠肾脏（年龄在5天到18个月之间）各取3块组织块，均匀取样并包埋在Epon中。每个块采集两个完整的肾小球轮廓。每个肾小球研究三个连续的切片，使用中间的切片来评估采样的肾小球中毛细血管的拓扑事件。使用完整的肾小球轮廓消除了边缘问题，而解剖器确保了三维的无偏采样。每只动物的估计值是块的加权平均值，权重是块的一部分中肾小球轮廓数量的一半。肾小球中的毛细血管数量是每分割器体积的平均欧拉数乘以分馏器获得的肾小球的平均体积。对于每个肾小球的毛细血管的估计数量，观察到的动物之间的变异系数为18.3%，并且在动物内的块水平上观察到的误差系数为14.7%。两个重建肾小球结支网络的精确毛细血管数等于同一肾小球总欧拉数得到的毛细血管数。这在应用示例中表明，正如预期的那样，使用欧拉数估计毛细管数是无偏的并且与切片方向无关。
A method for unbiased capillary number estimation based on the estimation of the Euler-Poincare characteristic or Euler number with the disector is evaluated. The generation of a new capillary creates a new loop in the capillary network corresponding to a change of exactly one unit in the Euler number of the network. In this way the Euler number has a one-to-one relationship to the number of capillaries in a network. In this report rat glomerular capillaries are counted. Three tissue blocks from each of 14 perfusion-fixed rat kidneys, aged between 5 days and 18 months, were uniformly sampled and embedded in Epon. Two complete glomerular profiles were sampled per block. Three consecutive sections were studied per glomerulus using the middle one to evaluate the topological events of the capillaries in the sampled glomerulus. The use of complete glomerular profiles eliminated problems with the edges, whereas the disector ensured unbiased sampling in the third dimension. Estimates per animal were weighted averages over blocks, the weights being half the number of glomerular profiles in a section from a block. The number of capillaries in a glomerulus is the mean Euler number per disector volume multiplied by the mean volume of glomeruli obtained by the fractionator.The observed coefficient of variation between animals was 18.3% for the estimated number of capillaries per glomerulus, and the observed coefficient of error at the level of blocks within animals was 14.7%. The exact capillary number from the node-branch network of two reconstructed glomeruli equalled the capillary number obtained by the total Euler number from the same glomeruli. This shows in an applied example, as would be expected, that the estimation of capillary number using the Euler number is unbiased and independent of the direction of sectioning.