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Developing dynamical systems for data clustering applied to biological data

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Author(s):
Antonio Paulo Galdeano Damiance Junior
Total Authors: 1
Document type: Master's Dissertation
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Defense date:
Examining board members:
Zhao Liang; André Carlos Ponce de Leon Ferreira de Carvalho; Emilio Del Moral Hernandez
Advisor: Zhao Liang
Abstract

With the advent of microarray technology, a large amount of gene expression data is now available. Clustering is the computational technique usually employed to analyze and explore the data produced by microarrays. Due to the variety of information that can be extracted from the expression data, many clustering techniques with different approaches are needed. In the work proposed by (Zhao et. al. 2003a), the dynamical model for data clustering has several interesting features to the clustering task: the number of clusters does not need to be known, the multi-scale property, high parallelism, and it is flexible to use more complex rules while clustering the data. However, two desirable features for clustering techniques are not present: the ability to detect different clusters sizes and shapes, and a hierarchical representation of the clusters. This project presents three techniques, overcoming the restrictions of the dynamical model proposed by (Zhao et. al. 2003a). The first technique, called Model1, is more effective than the original model and was obtained simplifying it. The second technique, called Model2, is capable of detecting different clusters sizes and shapes. The third technique consists in a hierarchical algorithm that uses Model1 as a building block. The techniques here developed were used with biological data. Microarray image segmentation was performed and the St. Jude Leukemia gene expression data was analyzed and explored. (AU)