乳腺癌细胞核形态的分形分析

FRACTAL ANALYSIS OF CELL NUCLEUS OF BREAST CARCINOMA

本文在肿瘤细胞核形态的研究中引入分形论，选择临床上常见的乳腺癌，在电镜下观察肿瘤细胞核的形态，通过分形图象处理系统，采用数盒子的方法计算细胞核边界的分维值，结果的统计采用t检验在EPI－5统计软件上进行．结果发现．乳腺癌和乳腺纤维腺瘤的细胞核边界的分维值大于其拓维值1（P＜0．01），即它们是分形结构．乳腺癌细胞核边界的分维是1．166±0．045，大于乳腺纤维腺瘤细胞核边界分维1．065±0．022（P＜0．00001）．上述研究表明：在电镜观察下（放大倍数5000～12000倍）肿瘤细胞核的形态具有分形结构；分维定量地描述了肿瘤细胞核形态的不规则程度，对肿瘤病理良恶性的鉴别具有一定意义．

In this research fractal geometry was used to analyse the nuclear shape of breast carcino-ma. The nucleus of breast carcinoma were observed under the electron microscope(EM). The fractal dimension of the nuclear boundary was measured through box-counting method imple-mented on a fractal image'process system (EIPS). Results were assessed by using t test on the epi-5 statistical software.This study showed that the mean fractal dimension of cell nu-cleus of breast carcinoma and benign breast adenoma were significantly greater than their topological dimension of 1 (P<0.01). So their nuclear boundaries are fractal structures. Thefractal dimension of nucleus of breast carinoma was significantly greater than that of the be-nign breast adenoma (1.168 vs 1.065, P<0.00001). These results indicated that the nucleus of the tumor cell, when observed under EM (the magnification was between 5000 and12000), have a fractal structure.Fractal dimension is a better way of quantitating the nuclearshape and an useful morphological discriminant between the malignant and benign tumor.