The De Bruijn graph of non-sequential pattern repetitions in DNA strings

In molecular biology, constructing a genome based on substantially many reads from multitudes of deoxyribonucleic acid (DNA) strings has become an insurmountable task; one which has been continuously addressed by the introduction of various assembly algorithms based on three steps called the overlap...

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Main Authors: Fong, Wan Heng, Ahmed Ildrussi, Ahmed Ildrussi, Yosman, Ahmad Firdaus
Format: Article
Language:English
Published: Institute of Advanced Engineering and Science 2024
Subjects:
Online Access:http://eprints.utm.my/108986/1/WanHengFong2024_TheDeBruijnGraphofNonSequentialPatternRepetitions.pdf
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author Fong, Wan Heng
Ahmed Ildrussi, Ahmed Ildrussi
Yosman, Ahmad Firdaus
author_facet Fong, Wan Heng
Ahmed Ildrussi, Ahmed Ildrussi
Yosman, Ahmad Firdaus
author_sort Fong, Wan Heng
collection ePrints
description In molecular biology, constructing a genome based on substantially many reads from multitudes of deoxyribonucleic acid (DNA) strings has become an insurmountable task; one which has been continuously addressed by the introduction of various assembly algorithms based on three steps called the overlap-layout-consensus strategy. In the overlap step, the De Bruijn graph is one of many graphs that illustrate the data of all the assembly algorithms. In this article, by using definitions and methods of mathematical induction, some properties of the De Bruijn graph of one time and two times non-sequential repetition of patterns in a DNA string are presented. Examples of these De Bruijn graphs are also given. From there, a generalisation of said properties for m times non-sequential pattern repetition in a DNA string is acquired by means of mathematical induction, as well. The theoretical work in this research is invaluable to develop algorithms that increase the computational efficiency of assembly algorithms.
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spelling utm.eprints-1089862025-01-27T01:52:49Z http://eprints.utm.my/108986/ The De Bruijn graph of non-sequential pattern repetitions in DNA strings Fong, Wan Heng Ahmed Ildrussi, Ahmed Ildrussi Yosman, Ahmad Firdaus QA Mathematics In molecular biology, constructing a genome based on substantially many reads from multitudes of deoxyribonucleic acid (DNA) strings has become an insurmountable task; one which has been continuously addressed by the introduction of various assembly algorithms based on three steps called the overlap-layout-consensus strategy. In the overlap step, the De Bruijn graph is one of many graphs that illustrate the data of all the assembly algorithms. In this article, by using definitions and methods of mathematical induction, some properties of the De Bruijn graph of one time and two times non-sequential repetition of patterns in a DNA string are presented. Examples of these De Bruijn graphs are also given. From there, a generalisation of said properties for m times non-sequential pattern repetition in a DNA string is acquired by means of mathematical induction, as well. The theoretical work in this research is invaluable to develop algorithms that increase the computational efficiency of assembly algorithms. Institute of Advanced Engineering and Science 2024-08 Article PeerReviewed application/pdf en http://eprints.utm.my/108986/1/WanHengFong2024_TheDeBruijnGraphofNonSequentialPatternRepetitions.pdf Fong, Wan Heng and Ahmed Ildrussi, Ahmed Ildrussi and Yosman, Ahmad Firdaus (2024) The De Bruijn graph of non-sequential pattern repetitions in DNA strings. Indonesian Journal of Electrical Engineering and Computer Science, 35 (2). pp. 787-794. ISSN 2502-4752 http://dx.doi.org/10.11591/ijeecs.v35.i2.pp787-794 DOI:10.11591/ijeecs.v35.i2.pp787-794
spellingShingle QA Mathematics
Fong, Wan Heng
Ahmed Ildrussi, Ahmed Ildrussi
Yosman, Ahmad Firdaus
The De Bruijn graph of non-sequential pattern repetitions in DNA strings
title The De Bruijn graph of non-sequential pattern repetitions in DNA strings
title_full The De Bruijn graph of non-sequential pattern repetitions in DNA strings
title_fullStr The De Bruijn graph of non-sequential pattern repetitions in DNA strings
title_full_unstemmed The De Bruijn graph of non-sequential pattern repetitions in DNA strings
title_short The De Bruijn graph of non-sequential pattern repetitions in DNA strings
title_sort de bruijn graph of non sequential pattern repetitions in dna strings
topic QA Mathematics
url http://eprints.utm.my/108986/1/WanHengFong2024_TheDeBruijnGraphofNonSequentialPatternRepetitions.pdf
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