Hierarchical multifractal representation of symbolic sequences and application to human chromosomes

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 2, 2010, Pages

  Provata, A ^a   Katsaloulis, P ^a  

^a INSTITUTE OF NANOSCIENCE AND NANOTECHNOLOGY   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ABSOLUTE VALUES; ANALYTICAL APPROACH; DENSITY CORRELATION; FUNCTIONAL UNITS; GENOMIC SEQUENCE; HIERARCHICAL APPROACH; HIGHER ORDER CORRELATION; HUMAN CHROMOSOMES; MATRIX; MULTI FRACTALS; MULTI-FRACTAL SPECTRUM; PAIR CORRELATIONS; RANDOM SEQUENCE; STATISTICAL MOMENTS; SYMBOLIC SEQUENCE; TENSOR PRODUCTS;

FRACTALS; GENES;

TENSORS;

EID: 76749115649     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.026102     Document Type: Article

References (37)

1. W. Li and K. Kaneko, Europhys. Lett. 17, 655 (1992). 10.1209/0295-5075/ 17/7/014
2. C. K. Peng, S. V. Buyldyrev, A. L. Goldberger, S. Havlin, F. Sciortino, M. I. Simons, and H. E. Stanley, Nature (London) 356, 168 (1992). 10.1038/356168a0
3. R. F. Voss, Phys. Rev. Lett. 68, 3805 (1992). 10.1103/PhysRevLett.68.3805
4. W. Ebeling and G. Nicolis, Chaos, Solitons Fractals 2, 635 (1992). 10.1016/0960-0779(92)90058-U
5. R. N. Mantegna, S. V. Buldyrev, A. L. Goldberger, S. Havlin, C. K. Peng, M. Simons, and H. E. Stanley, Phys. Rev. Lett. 73, 3169 (1994). 10.1103/PhysRevLett.73.3169
6. S. Karlin and V. Brendel Science 257, 39 (1992) 10.1126/science.1621093
7. S. Karlin and V. Brendel Science 259, 677 (1993) 10.1126/science.8430316
8. S. Karlin, B. Blaisdell, R. Sapolsky, L. Cardon, and C. Burge, Nucleic Acids Res. 21, 703 (1993). 10.1093/nar/21.3.703
9. S. V. Buldyrev, A. L. Goldberger, S. Havlin, C. K. Peng, M. Simons, and H. E. Stanley, Phys. Rev. E 47, 4514 (1993). 10.1103/PhysRevE.47.4514
10. A. Provata and Y. Almirantis, Physica A 247, 482 (1997) 10.1016/S0378-4371(97)00424-X
11. Y. Almirantis and A. Provata, J. Stat. Phys. 97, 233 (1999). 10.1023/A:1004671119400
12. I. Grosse, P. Bernaola-Galvan, P. Carpena, R. Roman-Roldan, J. Oliver, and H. E. Stanley, Phys. Rev. E 65, 041905 (2002). 10.1103/PhysRevE.65.041905
13. P. Carpena, P. Bernaola-Galvan, A. V. Coronado, M. Hackenberg, and J. L. Oliver, Phys. Rev. E 75, 032903 (2007). 10.1103/PhysRevE.75.032903
14. A. Arneodo, Y. d'Aubenton-Carafa, B. Audit, E. Bacry, J. F. Muzy, and C. Thermes Eur. Phys. J. B 1, 259 (1998) 10.1007/s100510050180
15. A. Arneodo, Y. d'Aubenton-Carafa, B. Audit, E. Bacry, J. F. Muzy, and C. Thermes Physica A 249, 439 (1998). 10.1016/S0378-4371(97)00504-9
16. O. V. Usatenko, V. A. Yampol'skii, K. E. Kechedzhy, and S. S. Mel'nyk, Phys. Rev. E 68, 061107 (2003). 10.1103/PhysRevE.68.061107
17. P. Bernaola-Galvan, J. L. Oliver, and R. Roman-Roldan, Phys. Rev. Lett. 83, 3336 (1999). 10.1103/PhysRevLett.83.3336
18. V. Afreixo, P. J. S. G. Ferreira, and D. Santos, Phys. Rev. E 70, 031910 (2004). 10.1103/PhysRevE.70.031910
19. W. T. Li, Gene 300, 129 (2002). 10.1016/S0378-1119(02)00847-8
20. P. Bernaola-Galvan, J. L. Oliver, P. Carpena, O. Clay, and G. Bernardi, Gene 333, 121 (2004). 10.1016/j.gene.2004.02.042
21. W. T. Li and D. Holste, Fluct. Noise Lett. 4, L453 (2004). 10.1142/S0219477504002087
22. J. Cheng and L. X. Zhang, Chaos, Solitons Fractals 25, 339 (2005). 10.1016/j.chaos.2004.12.004
23. P. W. Messer and P. F. Arndt, Nucleic Acids Res. 34, W692 (2006). 10.1093/nar/gkl234
24. P. Katsaloulis, T. Theoharis, and A. Provata, Physica A 316, 380 (2002) 10.1016/S0378-4371(02)01196-2
25. P. Katsaloulis, T. Theoharis, and A. Provata, J. Theor. Biol. 258, 18 (2009). 10.1016/j.jtbi.2009.01.014
26. P. Katsaloulis, T. Theoharis, W. M. Zheng, B. L. Hao, A. Bountis, Y. Almirantis, and A. Provata, Physica A 366, 308 (2006). 10.1016/j.physa.2005.10. 019
27. L. Han, B. Su, W. H. Li, and Z. M. Zhao, Genome Biol. 9, R79 (2008). 10.1186/gb-2008-9-5-r79
28. J. Freudenberg, M. Wang, Y. Yang, and W. T. Li, BMC Bioinf. 10, S66 (2009). 10.1186/1471-2105-10-S1-S66
29. A. Provata and Y. Almirantis, Fractals 8, 15 (2000).
30. S. Garte, J. Theor. Biol. 230, 251 (2004). 10.1016/j.jtbi.2004.05.015
31. M. A. Zaks, Phys. Rev. E 65, 011111 (2001). 10.1103/PhysRevE.65.011111
32. B. Hao, Physica A 282, 225 (2000). 10.1016/S0378-4371(00)00102-3
33. B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts, and J. D. Watson, Molecular Biology of the Cell, 3rd ed. (Garland, New York, 1994).
34. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1982).
35. J. Feder, Fractals, (Plenum Press, New York, 1988)
36. T. Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1989).
37. H. Takayasu, Fractals in the Physical Sciences (Manchester University Press, Manchester, 1990).