Algorithms for hierarchical clustering of gene expression data
Komarina, Srikanth (2004) Algorithms for hierarchical clustering of gene expression data. Masters thesis, Iowa State University.
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Genes are parts of the genome which encode for proteins in an organism. Proteins play an important part in many biological processes in any organism. Measuring expression level of a gene helps biologists estimate the amount of protein produced by that gene. Mircoarrays can be used to measure the expression levels of thousands of genes in a single experiment. Using additional techniques such as clustering, various correlations among genes of interest can be found. The most commonly used clustering technique for microarray data analysis is hierarchical clustering. Various metrics such as euclidean, manhattan, pearson correlation coefficient have been used to measure(dis)similarity between genes. A commonly used software for hierarchical clustering based on pearson correlation coefficient takes O(N^3) for clustering N genes, even though there are algorithms which can reduce the runtime to O(N^2). In this thesis, we show how the runtime can be reduced to O(N log N) by using a geometric interpretation of the pearson correlation coefficient and show that it is optimal.
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