Fractal dynamics of human gait: Stability of long-range correlations in stride interval fluctuations

Journal of Applied Physiology

Volumn 80, Issue 5, 1996, Pages 1448-1457

  Hausdorff, Jeffrey M ^a   Purdon, Patrick L ^a   Peng, C K ^a   Ladin, Zvi ^a   Wei, Jeanne Y ^a   Goldberger, Ary L ^a  

^a NONE

Author keywords

human locomotion; nonlinear dynamics; power law scaling

Indexed keywords

ADULT; ARTICLE; CORRELATION FUNCTION; FOURIER TRANSFORMATION; GAIT; HUMAN; HUMAN EXPERIMENT; LOCOMOTION; MALE; MODEL; NOISE; NONLINEAR SYSTEM; NORMAL HUMAN; PRIORITY JOURNAL; WALKING SPEED;

EID: 0029920856     PISSN: 87507587     EISSN: None     Source Type: Journal    
DOI: 10.1152/jappl.1996.80.5.1448     Document Type: Article

References (26)

1. Bak, P., and M. Creutz. Fractals and self-organized criticality. In: Fractals in. Science, edited by A. Bunde and S. Havlin. New York: Springer-Verlag, 1994, p. 27-47.
2. Bassingthwaighte, J. B., L. S. Liebovitch, and B. J. West. Fractal Physiology. New York: Oxford Univ. Press, 1994.
3. Beran, J. Statistics for Long-Memory Processes. New York: Chapman & Hall, 1994.
4. Bramble, D. M., and F. A. Jenkins, Jr. Mammalian locomotor-respiratory integration: implications for diaphragmatic and pulmonary design. Science Wash. DC 262: 235-240, 1993.
5. Cohen, A. H., S. Rossignol, and S. Grillner. Neural Control of Rhythmic Movements in Vertebrates. New York: Wiley, 1988.
6. Collins, J. J., and I. Stewart. Hexapodal gaits and coupled nonlinear oscillator models. Biol. Cybern. 68: 287-298, 1993.
7. Delcomyn, F. Neural basis of rhythmic behavior in animals. Science Wash. DC 210: 492-498, 1980.
8. Gillespie, D. T. Markov Processes: An Introduction for Physical Scientists. Boston, MA: Academic, 1992.
9. Grillner, S. Neurological bases of rhythmic motor acts in vertebrates. Science Wash. DC 228: 143-149, 1985.
10. Hausdorff, J. M., Z. Ladin, and J. Y. Wei. Footswitch system for measurement of the temporal parameters of gait. J. Biomech. 28: 347-351, 1995.
11. Hausdorff, J. M., C.-K. Peng, Z. Ladin, J. Y. Wei, and A. L. Goldberger. Is walking a random walk? Evidence for long-range correlations in the stride interval of human gait. J. Appl. Physiol. 78: 349-358, 1995.
12. Kirby, R. L., S. T. Nugent, R. W. Marlow, D. A. MacLeod, and A. E. Marble. Coupling of cardiac and locomotor rhythms. J. Appl. Physiol. 66: 323-329, 1989.
13. Milton, J. G., U. an der Heiden, A. Longtin, and M. C. Mackey. Complex dynamics and noise in simple neural networks with delayed mixed feedback. Biomed. Biochim. Acta 48: 697-707, 1990.
14. Montroll, E. W., and M. F. Shlesinger. The wonderful world of random walks. In: Nonequilibrium Phenomena II: From Stochastics to Hydrodynamics, edited by J. L. Lebowitz. Amsterdam: North-Holland, 1984, p. 1-121.
15. Pailhous, J., and M. Bonnard. Steady-state fluctuations of human walking. Behav. Brain Res. 47: 181-190, 1992.
16. Peng, C.-K., S. V. Buldyrev, A. L. Goldberger, S. Havlin, M. Simons, and H. E. Stanley. Finite size effects on long-range correlations: implications for analyzing DNA sequences. Phys. Rev. E 47: 3730-3733, 1993.
17. Peng, C.-K., S. Havlin, H. E. Stanley, and A. L. Goldberger. Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos 6: 82-87, 1995.
18. Samorodnitsky, G., and M. S. Taqqu. Stable Non-Gaussian Random Processes: Stochastic Models With Infinite Variance. New York: Chapman & Hall, 1994.
19. Schöner, G., and J. A. S. Kelso. Dynamic pattern generation in behavioral and neural systems. Science Wash. DC 239: 1513-1520, 1988.
20. β noise. In: Random Fluctuations and Pattern Growth: Experiments and Models, edited by H. E. Stanley and N. Ostrowsky. Boston, MA: Kluwer Academics, 1988.
21. Stanley, H. E. Introduction to Phase Transitions and Critical Phenomena. New York: Oxford Univ. Press, 1971.
22. Theiler, J., S. Eubank, A. Longtin, B. Galdrikian, and J. D. Farmer. Testing for nonlinearity in time series: the method of surrogate data. Physica D 58: 77-94, 1992.
23. Van Kampen, N. G. Stochastic Processes in Physics and Chemistry. Amsterdam: North-Holland, 1981.
24. Voss, R. F. Fractals in nature: from characterization to simulation. In: The Science of Fractal Images, edited by H. O. Peitgen and D. Saupe. New York: Springer-Verlag, 1988, p. 21-70.
25. Weissman, M. B. 1/f noise and other slow, nonexponential kinetics in condensed matter. Rev. Mod. Phys. 60: 537-571, 1988.
26. Yamasaki, M., T. Sasaki, S. Tsuzki, and M. Torii. Sterotyped pattern of lower limb movement during level and grade walking on treadmill. Ann. Physiol. Anthropol. 3: 291-296, 1984.