Fractional Langevin model of gait variability

Journal of NeuroEngineering and Rehabilitation

Volumn 2, Issue , 2005, Pages

  West, Bruce J ^a   Latka, Miroslaw ^b  

^a U S ARMY RESEARCH OFFICE   (United States)

^b WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ADULT; ARTICLE; CALCULATION; CONTROLLED STUDY; FEMALE; GAIT; HUMAN; HUMAN EXPERIMENT; MALE; MOTOR CONTROL; NORMAL HUMAN; STOCHASTIC MODEL; THEORETICAL MODEL; WALKING;

EID: 25444463093     PISSN: 17430003     EISSN: None     Source Type: Journal    
DOI: 10.1186/1743-0003-2-24     Document Type: Article

References (34)

1. Collins JJ, Richmond SA: Hard-wired central pattern generators for quadrupedal locomotion. Biological-Cybernetics 1994, 71:375-385.
2. Cohen AH, Rossignol S, Grillner S: Neural control of rhythmic movements in vertebrates New York: Wiley; 1988.
3. Collins JJ, Stewart IN: Coupled nonlinear oscillators and the the symmetries of animal gait. J Nonlinear Sci 1993, 3:349-392.
4. West BJ, Scafetta N: Nonlinear dynamical model of human gait. Phys Rev E 2003, 67:051917-1.
5. Hausdorff JM, Peng CK, Ladin Z, Wei JY, Goldberger AL: Is walking a random walk? Evidence for long-range correlations in stride interval of human gait. J Appl Physiol 1995, 78:349-358.
6. Hausdorff JM, Mitchell SL, Firtion R, Peng CK, Cudkowicz ME, Wei JY, Goldberger AL: Altered fractal dynamics of gait: reduced stride-interval correlations with aging and Huntington's disease. J Appl Physiol 1997, 82:262-269.
7. Griffin L, West DJ, West BJ: Random stride intervals with memory. J Biol Phys 2000, 26:185-202.
8. West BJ, Griffin L: Allometric control of human gait. Fractals 1998, 6:101-108.
9. West BJ, Griffin L: Allometric control, inverse power laws and human gait. Chaos, Solitons & Fractals 1999, 10:1519-1527.
10. West BJ, Zhang R, Sanders AW, Miniyar S, Zuckerman JH, Levine BD: Fractal fluctuations in transcranial Doppler signals. Physical Review E 1999, 59:3492-3498.
11. Peng CK, Mietus JE, Hausdorff JM, Havlin S, Stanley HE, Goldberger AL: Long-range anticorrelations and non-Gaussian behavior of the heartdeat. Phys Rev Lett 1993, 70:1343-1346.
12. West BJ: Physiology, Promiscuity and Prophecy at the Millennium: A Tale of Tails World Scientific, Singapore; 1999.
13. Szeto HH, Cheng PY, Decena JA, Cheng Y, Wu DL, Dwyer G: Fractal properties in fetal breathing dynamics. Am J Physiol 1992, 263:R141-R147.
14. Ivanov PC, Amaral LA, Goldberger AL, Havlin S, Rosenblum MG, Stanley HE, Struzik ZR: Multifractality in human heartbeat dynamics. Nature 1999, 399:461-465.
15. Montroll EW, West BJ: An Enriched Collection of Stochastic Processes. In Fluctuation phenomena, Pbk. ed., updated edn Edited by: Montroll EW, Lebowitz JL. Amsterdam: North-Holland; 1987:61-206.
16. Weiss GH: Aspects and applications of the random walk Amsterdam: North-Holland; 1994.
17. Falconer KJ: Fractal geometry mathematical foundations and applications Chichester: Wiley; 1990.
18. Muzy JF, Bacry E, Arneodo A: Wavelets and multifractal formalism for singular signals: Application to turbulence data. Physical Review Letters 1991, 67:3515-3518.
19. Muzy JF, Bacry E, Arneodo A: Multifractal formalism for fractal signals: The structure-function approach versus the wavelet-transform modulus-maxima method. Phyical Review E 1993, 47:875-884.
20. Castaign B, Gagne Y, Hopfinger E: Velocity probability density-functions of high Reynolds-number turbulence. Physica D 1990, 46:177-200.
21. Mallat SG: A Wavelet Tour of Signal Processing 2nd edition. Cambridge: Academic Press; 1999.
22. Ashkenazy Y, Hausdorff JM, Ivanov PCh, Goldberger AL, Stanley HE: A stochastic model of human gait dynamics. Physica A 2002, 316:662-670.
23. Schmitt FG, Seuront L: Multifractal random walk in Copepod behavior. Physica A 2001, 301:375-396.
24. Feder J: Fractals New York: Plenum Press; 1988.
25. Feller W: An introduction to probability theory and its applications 3rd edition. New York: Wiley; 1967.
26. Schertzer D, Lovejoy S, Schmit F, Chiguirinskaya Y, Marsan D: Multifractal cascade dynamics and turbulent intermittency. Fractals 2005, 5:427-471.
27. Lindenberg K, West BJ: The nonequilibrium statistical mechanics of open and closed systems New York: VCH Publishers; 1990.
28. West BJ, Grigolini P, Bologna M: Physics of Fractal Operators New York:Springer; 2004.
29. Bassigthwaighte B, Liebowitch LS, West BJ: Fractal Physiology Oxford: Oxford University press; 1994.
30. Rajagopalan B, Tarboton DG: Understanding complexity in the structure of rainfall. Fractals 1993, 1:606-616.
31. Scafetta N, Griffin L, West BJ: Holder exponent spectra for human gait. Physica A 2003, 328:561-583.
32. Scafetta N, West BJ: Mutiscaling comparative analysis on "earthquake conversations" in California:. Phys Rev Lett 2004, 92:138501-1-138501-4.
33. Shlesinger MF, West BJ, Klafter J: Lévy dynamics for enhanced diffusion: an application to turbulence. Phys Rev Lett 1987, 58:1100-1103.
34. Grigolini P, Rocco A, West BJ: Fractional calculus as a macroscopic manifestation of randomness. Phys Rev E 1999, 59:2603-2613.