| Summary: | 碩士 === 國立交通大學 === 應用數學系所 === 99 === Comparative Genomic Hybridization (CGH) is a molecular cytogenetic method to measure the copy number aberrations of chromosomal in tumor cells. In biological domain, tree model is usually used on the evolutionary relationship between organic and different biological species. In decades, the biologists believe that increase and decrease of DNA cause the occurrence of cancer. Furthermore, not only the change of one genetic event results in the cancer occurrence, but also serial alteration of different genes. Therefore, tree model is used as the tool to analyze CGH data and explore carcinogenesis. The mathematical model from CGH data can be inferred under mathematical ground. Desper et al. stated two models: maximum-weight branching model and distance-based tree model. These two models are more accurate than path model of colorectal-tumor which was brought up by Vogelstein et al.. In this paper, we introduce two different tree models and compare the differences between them. In addition, the oncogenetic tree model is reconstructed by using the idea of maximum likelihood.
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