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A compression algorithm for DNA sequences and its applications in genome comparison

Published: 08 April 2000 Publication History

Abstract

We present a lossless compression algorithm, Gen-Compress, for DNA sequences, based on searching for approximate repeats. Our algorithm achieves the best compression ratios for benchmark DNA sequences, comparing to other DNA compression programs [3, 7]. Significantly better compression results show that the approximate repeats are one of the main hidden regularities in DNA sequences.
We then describe a theory of measuring the relatedness between two DNA sequences. We propose to use d(x, y) = 1 — K(x) - K(x|y)/K(xy to measure the distance of any two sequences, where K stands for Kolmogorov complexity [5]. Here, K(x) - K(x|y) is the mutual information shared by x and y. But mutual information is not a distance, there is no triangle inequality. The distance d(x, y) is symmetric. It also satisfies the triangle inequality, and furthermore, it is universal [4].
It has not escaped our notice that the distance measure we have postulated can be immediately used to construct evolutionary trees from DNA sequences, especially those that cannot be aligned, such as complete genomes. With more and more genomes sequenced, constructing trees from genomes becomes possible [1, 2, 6, 8]. Kolmogorov complexity is not computable. We use GenCompress to approximate it. We present strong experimental support for this theory, and demonstrate its applicability by correctly constructing a 16S (18S) rRNA tree, and a whole genome tree for several species of bacteria. Larger scale experiments are underway at the University of Waterloo, with very promising results.

References

[1]
!goore, J L. &. Brown, W.M., Big trees from tittle genomes mitochondrial gene order as a phylogenetic tool. Curt. Opin. Genet. Dev. 8(6), 668-74 (1998).
[2]
Fitz-Gibbon, $.T & House, C H., Whole genome-bases phylogeny analysis of free-living microorganisms, Nucleic Acids Res. 27(21) 4218-22 (1999).
[3]
Grumbach, S & Tahi, F., A new challenge for compression algorithms' genetic sequences. Journal of Information Processin~ and Management, 30:6(1994), 875-866
[4]
Li, M. Notes, 1999.
[5]
Li, M & Vit~nyi, P., An introduction to Kolmogoro~ coraplc~tSl and ~ta applications, $prJnger-Verlag, 1997
[6]
Nadeau, J.H. & Sankoff, D., Trends Genet. 14,495 (1998).
[7]
i~_, Rivals, J-P Delahaye, M. {)auchet and O. Delgrange A Guaranteed Compression Scheme for Repetitive DNA Sequences LiFL Lille I Univ. tech. report IT-285, 1995
[8]
$net, B, Bork, P, & Huynen, M.A., Genome phylogeny based on gene content, Nature Genetics 21, (1999)

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    cover image ACM Conferences
    RECOMB '00: Proceedings of the fourth annual international conference on Computational molecular biology
    April 2000
    329 pages
    ISBN:1581131860
    DOI:10.1145/332306
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Published: 08 April 2000

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    • (2021)Bit Reduction based Compression Algorithm for DNA SequencesInternational Journal of Scientific Research in Science, Engineering and Technology10.32628/IJSRSET218529(270-277)Online publication date: 16-Oct-2021
    • (2021)Advances in the computational analysis of SARS-COV2 genomeNonlinear Dynamics10.1007/s11071-021-06836-y106:2(1525-1555)Online publication date: 27-Aug-2021
    • (2021)Trends and Advancements in Genome Data Compression and Processing AlgorithmsSoft Computing: Theories and Applications10.1007/978-981-16-1696-9_15(163-170)Online publication date: 27-Jun-2021
    • (2019)Modified Algorithm for Phylogenetic Tree Construction using Ant Colony Optimization2019 19th International Conference on Advances in ICT for Emerging Regions (ICTer)10.1109/ICTer48817.2019.9023716(1-7)Online publication date: Sep-2019
    • (2019)A Fast Reference-Free Genome Compression Using Deep Neural Networks2019 Big Data, Knowledge and Control Systems Engineering (BdKCSE)10.1109/BdKCSE48644.2019.9010661(1-7)Online publication date: Nov-2019
    • (2019)Application of signal processing for DNA sequence compressionIET Signal Processing10.1049/iet-spr.2018.5392Online publication date: 23-May-2019
    • (2018)Biological Information as Choice and ConstructionPhilosophy of Science10.1086/69983285:5(1012-1025)Online publication date: Dec-2018
    • (2017)DNA sequence compression within traditional text compression algorithms2017 25th Signal Processing and Communications Applications Conference (SIU)10.1109/SIU.2017.7960193(1-4)Online publication date: May-2017
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