Fractals related to long DNA sequences and complete genomes

DOI10.1016/S0960-0779(98)00182-9zbMath0959.92019OpenAlexW2160614196MaRDI QIDQ1576632

N. Delaunay

Publication date: 26 March 2001

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00182-9

zbMATH Keywords

DNA sequencesfractal-like patternshuman genes

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Protein sequences, DNA sequences (92D20)

Related Items (22)

Double power-law and random fractality in the energy spectra of poly(GA) sequences in human DNA ⋮ Predicting DNA binding proteins using support vector machine with hybrid fractal features ⋮ On the fractal geometry of DNA by the binary image analysis ⋮ Structural complexity of DNA sequence ⋮ Chaos game representation of protein sequences based on the detailed HP model and their multifractal and correlation analyses ⋮ Scaling invariance embedded in very short time series: a factorial moment based diffusion entropy approach ⋮ The genomic tree of living organisms based on a fractal model ⋮ Qubism: self-similar visualization of many-body wavefunctions ⋮ Recurrence plot analysis of DNA sequences ⋮ Multiformity of inherent randomicity and visitation density in \(n\) symbolic dynamics ⋮ Distance, correlation and mutual information among portraits of organisms based on complete genomes ⋮ A new hybrid fractal algorithm for predicting thermophilic nucleotide sequences ⋮ HIGHER BLOCK IFS 1: MEMORY REDUCTION AND DIMENSION COMPUTATIONS ⋮ Shannon information and self-similarity in whole genomes ⋮ Multifractal characterisation of length sequences of coding and noncoding segments in a complete genome ⋮ Time series model based on global structure of complete genome ⋮ Multifractal properties of Hao's geometric representations of DNA sequences ⋮ Dynamics and Topographic Organization of Recursive Self-Organizing Maps ⋮ Dimensions of fractals related to languages defined by tagged strings in complete genomes ⋮ Inherent randomicity in 4-symbolic dynamics ⋮ A time series model of CDS sequences in complete genome ⋮ Distribution of the units digit of primes

Cites Work

• Grammatical Complexity and One-Dimensional Dynamical Systems
• Is the Geometry of Nature Fractal?

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