Random Matrix Analysis of Protein Families

Proteins are vital for almost all biochemical and cellular processes. Although there is an enormous growth in the protein sequence data, the statistical characterization, structure and function of many of these sequences are still unknown. The statistical and spectral analysis of the Pearson correla...

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Main Author: Kumari R.
Other Authors: Mahidol University
Format: Conference or Workshop Item
Published: 2023
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Online Access:https://repository.li.mahidol.ac.th/handle/123456789/84633
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spelling th-mahidol.846332023-06-19T00:12:45Z Random Matrix Analysis of Protein Families Kumari R. Mahidol University Engineering Proteins are vital for almost all biochemical and cellular processes. Although there is an enormous growth in the protein sequence data, the statistical characterization, structure and function of many of these sequences are still unknown. The statistical and spectral analysis of the Pearson correlation matrices between positions based on physiochemical properties of amino acids of seven protein families is performed and compared with the random Wishart matrix model results. A detailed analysis shows that the protein families significantly diverge from the Marchenko-Pastur distribution with many eigenvalues (outliers) outside the Wishart lower and upper bound. It is shown that level spacing distribution of protein families is similar to the Gaussian orthogonal ensemble. Further, the number variance varies as log of the system size indicating the presence of long range correlations within the protein families. 2023-06-18T17:12:45Z 2023-06-18T17:12:45Z 2022-01-01 Conference Paper ECS Transactions Vol.107 No.1 (2022) , 18877-18891 10.1149/10701.18877ecst 19385862 19386737 2-s2.0-85133370159 https://repository.li.mahidol.ac.th/handle/123456789/84633 SCOPUS
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Engineering
spellingShingle Engineering
Kumari R.
Random Matrix Analysis of Protein Families
description Proteins are vital for almost all biochemical and cellular processes. Although there is an enormous growth in the protein sequence data, the statistical characterization, structure and function of many of these sequences are still unknown. The statistical and spectral analysis of the Pearson correlation matrices between positions based on physiochemical properties of amino acids of seven protein families is performed and compared with the random Wishart matrix model results. A detailed analysis shows that the protein families significantly diverge from the Marchenko-Pastur distribution with many eigenvalues (outliers) outside the Wishart lower and upper bound. It is shown that level spacing distribution of protein families is similar to the Gaussian orthogonal ensemble. Further, the number variance varies as log of the system size indicating the presence of long range correlations within the protein families.
author2 Mahidol University
author_facet Mahidol University
Kumari R.
format Conference or Workshop Item
author Kumari R.
author_sort Kumari R.
title Random Matrix Analysis of Protein Families
title_short Random Matrix Analysis of Protein Families
title_full Random Matrix Analysis of Protein Families
title_fullStr Random Matrix Analysis of Protein Families
title_full_unstemmed Random Matrix Analysis of Protein Families
title_sort random matrix analysis of protein families
publishDate 2023
url https://repository.li.mahidol.ac.th/handle/123456789/84633
_version_ 1781416593953128448