Multifractal analysis of DNA

Abstract

This paper presents a multifractal analsyis technique for deoxyribonucleic acid (DNA). A brief overview of sequencing and multifractal measures is given along with multifractal spectrum data. Fractal characterization is shown to have high potential as a valuable tool in DNA analysis. Consideration is given to selecting the appropriate fractal measure, probability measure and operational parameters. A multifractal trajectory over a moving window is given for possible use in classification. The DNA sequences of Methanococcus janaschii and Escherichia coli are shown to exhibit multifractal properties which vary significantly over trajectories calculated from each individual base type.