Download Fractals, Diffusion and Relaxation in Disordered Complex by William T Coffey; Yuri P Kalmykov; John Wiley & Sons.; Wiley PDF

By William T Coffey; Yuri P Kalmykov; John Wiley & Sons.; Wiley InterScience (Online service)

Fractals, Diffusion and rest in Disordered advanced platforms is a distinct guest-edited, two-part quantity of Advances in Chemical Physics that keeps to file fresh advances with major, up to date chapters via across the world well-known researchers

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Richard Moon, the Director of the Hyperbaric Laboratory at Duke Medical Center. Looking at these two time series together, one is struck by how different they appear. It is not apparent that both physiological phenomena scale in essentially the same way, but they do [14]. The allometric aggregation method applied to the various time series obtained by West et al. [14] yields the typical results depicted in Fig. 5, where the logarithms of the aggregated variance versus the aggregated means are plotted for the HRV and BRV data depicted in Fig.

Moving from left to right, the next data point is constructed from the time series with two nearest-neighbor data points added together, and the procedure is repeated moving right until the rightmost data point has 20 nearestneighbor data points added together. 76. We can see that the slope of the HRV data is midway fractal physiology, complexity, and the fractional calculus 13 between the dashed curves depicting an uncorrelated random process (slope ¼ 1/2) and one that is deterministically regular (slope ¼ 1).

The gait studies carried out to date concur that the fluctuations in the stride-interval time series exhibit long-time inverse power-law correlations indicating that the phenomenon of walking is a self-similar fractal activity. Walking consists in a sequence of steps, and the corresponding time series is made up of the time intervals for these steps. These steps may be partitioned into two phases: a stance phase and a swing phase. It has been estimated, using blood flow to skeletal muscles, that the stance phase muscles consume three times the energy as do the swing phase muscles, independently of speed [37].

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