Fractional Brownian motion as a nonstationary process: An alternative paradigm for DNA sequences

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Article discussing the fractional Brownian motion (FBM) as a nonstationary process and an alternative paradigm for DNA sequences.

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10 p.

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

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Article discussing the fractional Brownian motion (FBM) as a nonstationary process and an alternative paradigm for DNA sequences.

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10 p.

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Copyright 1998 American Physical Society. The following article appeared in Physical Review E, 57:4, pp. 4558-4567; http://pre.aps.org/abstract/PRE/v57/i4/p4558_1

Abstract: The long-range correlations in DNA sequences are currently interpreted as an example of stationary fractional Brownian motion (FBM). First the authors show that the dynamics of a dichotomous stationary process with long-range correlations such as that used to model DNA sequences should correspond to Lévy statistics and not to FBM. To explain why, in spite of this, the statistical analysis of the data seems to be compatible with FBM, the authors notice that an initial Gaussian condition, generated by a process foreign to the mechanism establishing the long-range correlations and consequently implying a departure from the stationary condition is maintained approximately unchanged for very long times. This is so because due to the nature itself of the long-range correlation process, it takes virtually an infinite time for the system to reach the genuine stationary state. Then the authors discuss a possible generator of initial Gaussian conditions, based on a folding mechanism of the nucleic acid in the cell nucleus. The model adopted is compatible with the known biological and physical constraints, namely, it is shown to be consistent with the information of current biological literature on folding as well as with the statistical analyses of DNA sequences.

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  • Physical Review E, 1998, College Park: American Physical Society, pp. 4558-4567

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  • Publication Title: Physical Review E
  • Volume: 57
  • Issue: 4
  • Page Start: 4558
  • Page End: 4567
  • Pages: 10
  • Peer Reviewed: Yes

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The Scholarly Works Collection is home to materials from the University of North Texas community's research, creative, and scholarly activities and serves as UNT's Open Access Repository. It brings together articles, papers, artwork, music, research data, reports, presentations, and other scholarly and creative products representing the expertise in our university community. Access to some items in this collection may be restricted.

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  • April 1998

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  • Feb. 13, 2012, 2:23 p.m.

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  • May 14, 2014, 11:56 a.m.

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Allegrini, Paolo; Buiatti, Marco, 1972-; Grigolini, Paolo & West, Bruce J. Fractional Brownian motion as a nonstationary process: An alternative paradigm for DNA sequences, article, April 1998; [College Park, Maryland]. (digital.library.unt.edu/ark:/67531/metadc75416/: accessed May 26, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.