Characteristic distribution of L-tuple for DNA primary sequence

Area of Science:

• Bioinformatics
• Computational Biology
• Genomics

Background:

• DNA sequence analysis is crucial for understanding biological functions and evolutionary relationships.
• Comparing DNA sequences often relies on identifying conserved regions or mutations.
• Existing methods may have limitations in capturing subtle sequence variations.

Purpose of the Study:

• To develop a novel mathematical framework for characterizing DNA sequences.
• To introduce an invariant mathematical characteristic for L-tuple distributions in DNA.
• To demonstrate the utility of this invariant for sequence comparison and phylogenetic analysis.

Main Methods:

• Construction of a characteristic distribution for L-tuples within DNA sequences.
• Selection of an invariant mathematical characteristic to represent the distribution.
• Application of the invariant for sequence comparison and phylogenetic tree construction.

Main Results:

• The study successfully defined and applied an invariant characteristic for DNA L-tuple distributions.
• Demonstrated utility through comparative analysis of beta-globin gene sequences across eleven species.
• Illustrated effectiveness in constructing a phylogenetic tree for twenty-four coronavirus genomes.

Conclusions:

• The proposed invariant characteristic provides a robust method for DNA sequence comparison.
• This approach offers a valuable tool for phylogenetic studies and evolutionary biology.
• The method shows promise for diverse applications in genomics and bioinformatics.