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Non-normal Statistics of DNA Sequences of Prokaryotes |
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| Authors: | Bruce J. West Paolo Allegrini M. Buiatti Paolo Grigolini |
| Affiliation: | (1) Army Research Office, Research Triangle Park, NC;(2) Center for Nonlinear Science, University of North Texas, Denton, Texas 76203, USA;(3) Istituto di Biofisica del Consiglio Nazionale delle Ricerche, Via San and Lorenzo 26, 56127 Pisa, Italy;(4) Center for Nonlinear Science, University of North Texas, Denton, Texas 76203, USA;(5) Dipatimento di Fisica dell', Universita di Pisa, Piazza, Torricelli 2, 56127 Pisa, Italy |
| Abstract: | The  n-rule of Schrödinger in his discussion of DNA is based onnormal statistics and equilibrium physics. Herein the kurtosis is used tomeasure the deviation from normality of the stistics of non-equilibrium DNAsequences. A pattern for this deviation from normality is identified andthis signature is found in prokaryotes. The signature is explained by atheory of DNA sequences that involves finite length DNA walks withdynamically generated long-range correlations. |
| Keywords: | DNA walk inverse power law Lé vy statistics nonlinear dynamics |
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