Long-range correlation in the whole human genome

We calculate the mutual information function for each of the 24 chromosomes in the human genome. The same correlation pattern is observed regardless the individual functional features of each chromosome. Moreover, correlations of different scale length are detected depicting a multifractal scenario. This fact suggest a unique mechanism of structural evolution. We propose that such a mechanism could be an expansion-modification dynamical system.

[1]  N. Sueoka,et al.  A STATISTICAL ANALYSIS OF DEOXYRIBONUCLEIC ACID DISTRIBUTION IN DENSITY GRADIENT CENTRIFUGATION. , 1959, Proceedings of the National Academy of Sciences of the United States of America.

[2]  Wentian Li Power Spectra of Regular Languages and Cellular Automata , 1987, Complex Syst..

[3]  Richard E. Blahut,et al.  Principles and practice of information theory , 1987 .

[4]  Michel Loève,et al.  Probability Theory I , 1977 .

[5]  Wentian Li,et al.  Long-range correlation and partial 1/fα spectrum in a noncoding DNA sequence , 1992 .

[6]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[7]  Li,et al.  Expansion-modification systems: A model for spatial 1/f spectra. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[8]  A. Goldberger,et al.  Finite-size effects on long-range correlations: implications for analyzing DNA sequences. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  Germinal Cocho,et al.  Multiscaling in Expansion-modification Systems: An Explanation for Long Range Correlation in DNA , 1998, Complex Syst..

[10]  Samuel Karlin,et al.  Genes, pseudogenes, and Alu sequence organization across human chromosomes 21 and 22 , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[11]  Fraser,et al.  Independent coordinates for strange attractors from mutual information. , 1986, Physical review. A, General physics.

[12]  P. Doty,et al.  Heterogeneity in Deoxyribonucleic Acids: II. Dependence of the Density of Deoxyribonucleic Acids on Guanine–Cytosine Content , 1959, Nature.

[13]  Deepak Grover,et al.  Nonrandom distribution of alu elements in genes of various functional categories: insight from analysis of human chromosomes 21 and 22. , 2003, Molecular biology and evolution.

[14]  Claude E. Shannon,et al.  The Mathematical Theory of Communication , 1950 .

[15]  P. Munson,et al.  DNA correlations , 1992, Nature.