Correction of bias in the estimation of cell volume fraction from histology sections.

Correction of bias in the estimation of cell volume fraction from histology sections.
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DOI:
10.1016/j.jbiomech.2020.109705
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发表时间:
2020-05-07
影响因子:
2.4
通讯作者:
Genin GM
Genin GM
中科院分区:
工程技术3区
文献类型:
--
作者:
Liu Y;Schwartz AG;Hong Y;Peng X;Xu F;Thomopoulos S;Genin GM

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准确测定细胞占据的组织体积分数对于研究组织发育、病理学和生物力学至关重要。例如,基于组织成分的性质来预测组织的功能和响应的均质化方法需要估计细胞体积分数。估计细胞体积分数的常用方法是在薄的平面组织切片中对细胞进行成像,然后调用Delesse或Glagolev原理从测量的面积分数估计体积分数。Delesse原理依赖于这样的观察,即对于随机排列的相同特征,相的观察面积分数的期望值等于该相的体积分数,而Glagolev原理依赖于随机而不是平面采样的类似观察。这些方法对于分析抛光的、不透明的岩石切片和与细胞的特征长度尺度相比较薄的组织学切片是严格的。然而,当组织切片不能切得足够薄时,将引入偏倚。虽然这种偏差-在岩相学中被称为霍姆斯效应-已经解决了透明基质中的不透明球体,但尚未解决组织学切片中出现的相反问题,即不透明基质中的透明细胞。在这份说明中,我们提出了一个计划,用于纠正的偏见,在体积分数估计透明的成分在一个相对不透明的矩阵。
Accurate determination of the fraction of a tissue’s volume occupied by cells is critical for studying tissue development, pathology, and biomechanics. For example, homogenization methods that predict the function and responses of tissues based upon the properties of the tissue’s constituents require estimates of cell volume fractions. A common way to estimate cellular volume fraction is to image cells in thin, planar histologic sections, and then invoke either the Delesse or the Glagolev principle to estimate the volume fraction from the measured area fraction. The Delesse principle relies on the observation that for randomly aligned, identical features, the expected value of the observed area fraction of a phase equals the volume fraction of that phase, and the Glagolev principle relies on a similar observation for random rather than planar sampling. These methods are rigorous for analysis of a polished, opaque rock sections and for histologic sections that are thin compared to the characteristic length scale of the cells. However, when histologic slices cannot be cut sufficiently thin, a bias will be introduced. Although this bias – known as the Holmes effect in petrography – has been resolved for opaque spheres in a transparent matrix, it has not been addressed for histologic sections presenting the opposite problem, namely transparent cells in an opaque matrix. In this note, we present a scheme for correcting the bias in volume fraction estimates for transparent components in a relatively opaque matrix.
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