Non-Gaussian statistics of anomalous diffusion: The DNA sequences of prokaryotes

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This article discusses a non-Gaussian indicator to measure the deviation from Gaussian statistics of a diffusion process generated by dichotomous fluctuations with infinite memory.

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9 p.

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Allegrini, Paolo; Buiatti, Marco, 1972-; Grigolini, Paolo & West, Bruce J. September 1998.

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This article discusses a non-Gaussian indicator to measure the deviation from Gaussian statistics of a diffusion process generated by dichotomous fluctuations with infinite memory.

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9 p.

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Copyright 1998 American Physical Society. The following article appeared in Physical Review E, 58:3, pp. 3640-3648; http://pre.aps.org/abstract/PRE/v58/i3/p3640_1

Abstract: We adopt a non-Gaussian indicator to measure the deviation from Gaussian statistics of a diffusion process generated by dichotomous fluctuations with infinite memory. We also make analytical predictions on the transient behavior of the non-Gaussian indicator as well as on its stationary value. We then apply this non-Gaussian analysis to the DNA sequences of prokaryotes adopting a theoretical model where the "DNA dynamics" are assumed to be determined by the statistical superposition of two independent generators of fluctuations: a generator of fluctuations with no correlation and a generator of fluctuations with infinite correlation "time". We study also the influence that the finite length of the observed sequences has on the short-range fluctuation and sequence truncation. Nevertheless, under proper conditions, fulfilled by all the DNA sequences of prokaryotes that have been examined, a non-Gaussian signature remains to signal the correlated nature of the driving process.

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  • Physical Review E, 1998, College Park: American Physical Society, pp. 3640-3648

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  • Publication Title: Physical Review E
  • Volume: 58
  • Issue: 3
  • Page Start: 3640
  • Page End: 3648
  • Peer Reviewed: Yes

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  • September 1998

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  • Feb. 13, 2012, 2:23 p.m.

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  • April 2, 2014, 4:20 p.m.

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Allegrini, Paolo; Buiatti, Marco, 1972-; Grigolini, Paolo & West, Bruce J. Non-Gaussian statistics of anomalous diffusion: The DNA sequences of prokaryotes, article, September 1998; [College Park, Maryland]. (digital.library.unt.edu/ark:/67531/metadc75418/: accessed July 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.