Maipas Sotirios, Nonni Afroditi, Politi Ekaterini, Sarlanis Helen, Kavantzas Nikolaos G
Pathology, School of Medicine, National and Kapodistrian University of Athens, Athens, GRC.
Cureus. 2018 Nov 24;10(11):e3630. doi: 10.7759/cureus.3630.
A large number of studies have found that the fractal dimension increases with the progression towards pathological or more pathological states, but there are also studies that have demonstrated the opposite relationship. In this study, we calculate the nuclear box-counting fractal dimension of 109 malignant, 113 benign, and 80 normal isolated breast cells in order to investigate its possible diagnostic importance. We computed the fractal dimension and its goodness-of-fit (i.e., the r-squared value that describes how well the regression line fits the set of the measurements) for two different sets of box size lengths. The statistical analysis did not confirm an important diagnostic potential of the nuclear fractal dimension of isolated breast cells. However, the goodness-of-fit did display a diagnostic potential. The r-squared value may be able to serve as a complementary diagnostic parameter.
大量研究发现，随着病情发展至病理状态或更严重的病理状态，分形维数会增加，但也有研究表明存在相反的关系。在本研究中，我们计算了109个恶性、113个良性和80个正常的孤立乳腺细胞的核盒计数分形维数，以研究其可能的诊断重要性。我们针对两组不同的盒子尺寸长度计算了分形维数及其拟合优度（即描述回归线与测量数据集拟合程度的r平方值）。统计分析未证实孤立乳腺细胞核分形维数具有重要的诊断潜力。然而，拟合优度确实显示出诊断潜力。r平方值或许能够作为一个辅助诊断参数。
