Department of Molecular Pathology, Division of Health Sciences, Graduate School of Medicine, Osaka University, 1-7, Yamadaoka, Suita, Osaka, 565-0871, Japan.
Department of Clinical Nutrition, Suzuka University of Medical Science, 1001-1 Kishioka, Suzuka, Mie, 510-0293, Japan.
Sci Rep. 2023 Nov 9;13(1):19585. doi: 10.1038/s41598-023-46213-w.
Homology is a mathematical tool to quantify "the contact degree", which can be expressed in terms of Betti numbers. The Betti numbers used in this study consisted of two numbers, b0 (a zero-dimensional Betti number) and b1 (a one-dimensional Betti number). We developed a chromatin homology profile (CHP) method to quantify the chromatin contact degree based on this mathematical tool. Using the CHP method we analyzed the number of holes (surrounded areas = b1 value) formed by the chromatin contact and calculated the maximum value of b1 (b1MAX), the value of b1 exceeding 5 for the first time or Homology Value (HV), and the chromatin density (b1MAX/ns). We attempted to detect differences in chromatin patterns and differentiate histological types of lung cancer from respiratory cytology using these three features. The HV of cancer cells was significantly lower than that of non-cancerous cells. Furthermore, b1MAX and b1MAX/ns showed significant differences between small cell and non-small cell carcinomas and between adenocarcinomas and squamous cell carcinomas, respectively. We quantitatively analyzed the chromatin patterns using homology and showed that the CHP method may be a useful tool for differentiating histological types of lung cancer in respiratory cytology.
同源性是一种量化“接触程度”的数学工具,可以用贝蒂数表示。本研究中使用的贝蒂数由两个数字组成,b0(零维贝蒂数)和 b1(一维贝蒂数)。我们开发了一种染色质同源性图谱(CHP)方法,基于该数学工具来量化染色质接触程度。使用 CHP 方法,我们分析了染色质接触形成的孔数(包围区域=b1 值),并计算了 b1 的最大值(b1MAX)、首次超过 5 的 b1 值(HV)和染色质密度(b1MAX/ns)。我们试图使用这三个特征来检测肺癌的染色质模式差异并区分其组织学类型。癌细胞的 HV 明显低于非癌细胞。此外,b1MAX 和 b1MAX/ns 在小细胞癌和非小细胞癌之间以及腺癌和鳞状细胞癌之间分别显示出显著差异。我们使用同源性对染色质模式进行了定量分析,表明 CHP 方法可能是区分呼吸细胞学中肺癌组织学类型的有用工具。