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

Description:

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.

Creator(s):
Creation Date: September 1998
Partner(s):
UNT College of Arts and Sciences
Collection(s):
UNT Scholarly Works
Usage:
Total Uses: 130
Past 30 days: 6
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Creator (Author):
Allegrini, Paolo

Istituto Nazionale di Fisica della Materia; Università di Pisa

Creator (Author):
Buiatti, Marco, 1972-

Università di Pisa; Istituto di Biofisica

Creator (Author):
Grigolini, Paolo

Università di Pisa; Istituto di Biofisica; University of North Texas

Creator (Author):
West, Bruce J.

University of North Texas

Publisher Info:
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
Date(s):
  • Creation: September 1998
Description:

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.

Degree:
Department: Physics
Note:

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

Note:

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.

Physical Description:

9 p.

Language(s):
Subject(s):
Keyword(s): non-Gaussian statistics | DNA sequences
Source: Physical Review E, 1998, College Park: American Physical Society, pp. 3640-3648
Partner:
UNT College of Arts and Sciences
Collection:
UNT Scholarly Works
Identifier:
  • DOI: 10.1103/PhysRevE.58.3640
  • ARK: ark:/67531/metadc75418
Resource Type: Article
Format: Text
Rights:
Access: Public
Citation:
Publication Title: Physical Review E
Volume: 58
Issue: 3
Page Start: 3640
Page End: 3648
Peer Reviewed: Yes