Cruz Orive L M
J Microsc. 1976 Jan;106(1):1-18. doi: 10.1111/j.1365-2818.1976.tb02378.x.
Stereologists are aware that the experimental evaluation of component volume fractions and surface-to-volume ratios are subject to systematic errors whenever the requirements for cell identification impose the necessity for component-biased sectioning. Mathematical corrections of biased volume proportion data have recently been published; these corrections assume that the components under analysis are spherical, and that the nucleated particle phase is monodispersed. In this report, general methods for obtaining corrections of biased nuclear volume fraction data are set out for polydispersed phases of nucleated particles, in terms of the relevant shapes and joint size distribution of nucleus and cell; the scope and limitations of these methods are thereby discussed. Explicit corrections of an immediate applicability are obtained, together with their standard errors, for monodispersed phases where nucleus and cell are two dissimilar biaxial ellipsoids (spheroids). When nucleus and cell are two concentric and similar convex bodies of a certain class--to which triaxial ellipsoids belong--the corrections are shown to be very simple. The corrections for the spheroid-spheroid systems are easily accessible with the aid of a small programmable calculator, whereas those for the sphere-spheroid models are directly obtainable from two nomograms.
体视学家们意识到，只要细胞识别的要求使得成分偏向切片成为必要，那么对成分体积分数和表面积与体积比的实验评估就会受到系统误差的影响。最近已发表了对有偏体积比例数据的数学校正方法；这些校正方法假定所分析的成分是球形的，且有核颗粒相是单分散的。在本报告中，针对有核颗粒的多分散相，根据细胞核与细胞的相关形状和联合尺寸分布，阐述了获得有偏核体积分数数据校正的通用方法；并据此讨论了这些方法的范围和局限性。对于细胞核和细胞为两个不同双轴椭球体（球体）的单分散相，得出了具有直接适用性的明确校正值及其标准误差。当细胞核和细胞为某一类（包括三轴椭球体）的两个同心且相似的凸体时，校正结果非常简单。球体 - 球体系统的校正值借助小型可编程计算器很容易获得，而球体 - 椭球体模型的值可直接从两张列线图得出。
