Mutation of DNA and RNA sequences through the application of topological spaces

A. A. El-Atik; Y. Tashkandy; S. Jafari; A. A. Nasef; W. Emam; M. Badr; A. A. El-Atik; Y. Tashkandy; S. Jafari; A. A. Nasef; W. Emam; M. Badr

doi:10.3934/math.2023983

AIMS Mathematics

2023, Volume 8, Issue 8: 19275-19296. doi: 10.3934/math.2023983

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Research article

Mutation of DNA and RNA sequences through the application of topological spaces

1.
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
2.
Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
3.
College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark
4.
Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh 33516, Egypt
5.
Department of Mathematics, Faculty of Science, New Valley University, Egypt

Received: 14 March 2023 Revised: 16 May 2023 Accepted: 19 May 2023 Published: 07 June 2023
MSC : 54A05, 54C10, 54D10

Topology is branch of modern mathematics that plays an important role in applications of biology. The aim of this paper is to study DNA sequence mutations using multisets, relations, metric functions, topology and association indices. Moreover, we use association indices to study the similarity between DNA sequences. These different ways of identifying a mutation help biologists to make a decision. A decision of mutation that depends on metrics between two sequences of genes and the topological structure produced by their relationship is presented.
- multiset,
- topology,
- mutation,
- similarity,
- metric space
Citation: A. A. El-Atik, Y. Tashkandy, S. Jafari, A. A. Nasef, W. Emam, M. Badr. Mutation of DNA and RNA sequences through the application of topological spaces[J]. AIMS Mathematics, 2023, 8(8): 19275-19296. doi: 10.3934/math.2023983

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Abstract

Topology is branch of modern mathematics that plays an important role in applications of biology. The aim of this paper is to study DNA sequence mutations using multisets, relations, metric functions, topology and association indices. Moreover, we use association indices to study the similarity between DNA sequences. These different ways of identifying a mutation help biologists to make a decision. A decision of mutation that depends on metrics between two sequences of genes and the topological structure produced by their relationship is presented.

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