Allometric control, inverse power laws and human gait

Chaos, solitons and fractals

Volumn 10, Issue 9, 1999, Pages 1519-1527

  West, Bruce J ^a   Griffin, Lori ^b  

^a UNIVERSITY OF NORTH TEXAS   (United States)

^b TEXAS WOMAN'S UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; FRACTALS; INVERSE PROBLEMS; MATHEMATICAL MODELS; RANDOM PROCESSES; TIME SERIES ANALYSIS;

ALLOMETRIC CONTROL; INVERSE POWER LAWS;

GAIT ANALYSIS;

EID: 0033197339     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00149-0     Document Type: Article

References (20)

1. Bassingthwaighte, J. B., Liebovitch, L. S., and West, B. J., Fractal Physiology. Oxford University Press, New York, 1994.
2. Hausdorff, J. M., Peng, C.-K., Ladin, Z., Wei, J. Y. and Goldberger, A. L., Is walking a random walk? Evidence for long-range correlations in stride interval of human gait. J. Appl. Physiol., 1995, 78, 349-358.
3. Hausdorff, J. M., Forman, D. E., Ladin, Z., Goldberger, A. L., Rigney, D. R. and Wei, J. Y., Increased Walking Variability in Elderly Persons with Congestive Heart Failure. J. Am. Geriatr. Soc., 1994, 42, 1056-1061.
4. Vierordt, Ueber das Gehen des Menschen in Gesunden und kranken Zustaenden nach Selbstregistrirenden Methoden (On human gait in health and disease using a self-recording method). Tuebigen, Germany, 1881.
5. Huxley, J. S., Problems of Relative Growth. The Dial Press, New York, 1932.
6. Schmidt-Nielsen, K., Scaling: Why is Animal Size so Important? Cambridge University Press, New York, 1984.
7. Calder, W. A., III, Size, Function, and Life History. Harvard University Press, Cambridge, 1984.
8. Plateau, J. A. F., Sur la Mesure des Sensations Physiques et sur la Loi Qui Lie l'Interrsite de la Cause Excitante. Bull. Acad. Roy. Belg., 1872, 33, 376-388.
9. Roberts, F. S., Measurement Theory, Encyclopedia of Mathematics and its Applications, ed. G. Rota, Vol. 7. Addison-Wesley, Reading, 1979.
10. Pareto, V., Cours d'Economie Politique. Lausanne 1897.
11. Sahal, D., Patterns of Technological Innovation. Addison-Wesley, Reading, Mass., 1981.
12. Wiener, N., Cybernetics. MIT Press, Cambridge, Mass., 1948.
13. West, B. J. and Deering, W., Fractal Physiology for Physicists: Levy Statistics. Phys. Rept., 1994, 246(1&2), 1-100.
14. Beek, J. H. G. M., Roger, S. A. and Bassingthwaighte, J. B., Regional myocardial flow heterogeneity explained with fractal networks. Am. J. Physiol., 1989, 257, H1670-80.
15. Theiler, J., Eubank, S., Longtin, A., Galdrikian, B. and Farmer, J. E., Testing for nonlinearity in time series: the method of surrogate data. Physica D, 1992, 75, 190-208.
16. West, B. J., Fractal Physiology and Chaos in Medicine, Studies in Nonlinear Phenomena in Life Science, ed. B. J. West, Vol. 1. World Scientific, River Edge, New Jersey, 1990.
17. Liebovitch, L. S. and Todorov, A. T., Invited Editorial on Fractal dynamics of human gait: stability of long-range correlations in stride interval fluctuations. J. Appl. Physiol., 1996, 80(5), 1446-1447.
18. Hausdorff, J. M., Mitchell, S. L., Firtion, R., Peng, C.-K., Cudkowicz, M. E., Wei, J. Y. and Goldberger, A. L., Altered fractal dynamics of gait: reduced stride-interval correlations with aging and Huntington's disease. J. Appl. Physiol., 1997, 82.
19. Cox, D. R., Long-range dependence, non-linearity and time irreversibility. J. Time Series Analysis, 1991, 12, 329-335.
20. West, B. J. and Goldberger, A. L., Physiology in Fractal Dimensions. Am. Sci., 1987, 75, 795-819.