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Can power laws help us understand gene and proteome information?

Costa, António Cardoso; Machado, J. A. Tenreiro; Quelhas, Dulce

Proteins are biochemical entities consisting of one or more blocks typically folded in a 3D pattern. Each block (a polypeptide) is a single linear sequence of amino acids that are biochemically bonded together. The amino acid sequence in a protein is defined by the sequence of a gene or several genes encoded in the DNA-based genetic code. This genetic code typically uses twenty amino acids, but in certain organ...


Multi-dimensional scaling applied to histogram-based DNA analysis

Costa, António Cardoso; Machado, J. A. Tenreiro; Quelhas, Dulce

This paper aims to study the relationships between chromosomal DNA sequences of twenty species. We propose a methodology combining DNA-based word frequency histograms, correlation methods, and an MDS technique to visualize structural information underlying chromosomes (CRs) and species. Four statistical measures are tested (Minkowski, Cosine, Pearson product-moment, and Kendall τ rank correlations) to analyze t...


A multidimensional scaling analysis of musical sounds based on pseudo phase plane

Lima, Miguel; Costa, António Cardoso; Machado, J. A. Tenreiro

This paper studies musical opus from the point of view of three mathematical tools: entropy, pseudo phase plane (PPP), and multidimensional scaling (MDS). The experiments analyze ten sets of different musical styles. First, for each musical composition, the PPP is produced using the time series lags captured by the average mutual information. Second, to unravel hidden relationships between the musical styles th...


Histogram-based DNA analysis for the visualization of chromosome, genome and sp...

Costa, António Cardoso; Machado, J. A. Tenreiro; Quelhas, Dulce

We describe a novel approach to explore DNA nucleotide sequence data, aiming to produce high-level categorical and structural information about the underlying chromosomes, genomes and species. The article starts by analyzing chromosomal data through histograms using fixed length DNA sequences. After creating the DNA-related histograms, a correlation between pairs of histograms is computed, producing a global co...


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Fundação para a Ciência e a Tecnologia Universidade do Minho   Governo Português Ministério da Educação e Ciência Programa Operacional da Sociedade do Conhecimento União Europeia