“…The authors demonstrate that auditory-motor coupling can be driven by different coloured auditory noise signals (e.g. white, brown), shifting the fractal temporal structure of gait dynamics towards the statistical properties of the signals used. …”
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“…OBJECTIVE: The branching pattern of retinal vessels may be affected in Behçet’s Disease (BD). Fractal analysis can be used as a new method to quantify the changes of the vascular branching pattern. …”
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“…To date however, there has been little use of fractal geometry in CMR; by comparison, many more applications of fractal analysis have been published in MR imaging of the brain. …”
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“…We used high-resolution, three-dimensional (3D) fractal geometry analysis to study subtle and potentially biologically relevant structural alterations (in the geometry of protrusions, gyri and indentations, sulci) in subcortical gray matter (GM) in patients with schizophrenia relative to healthy individuals. …”
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“…We demonstrated that fractal temporal structure of respiration dynamics shifts towards the properties of the odorants used. …”
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“…Last but not least, lithium transport through fractal LiFePO(4) electrodes was investigated based upon fractal theory. …”
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“…OBJECTIVE: The purpose of this study was to determine whether the results of fractal analysis can be used as criteria for midpalatal suture maturation evaluation. …”
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“…In this note, we give fixed point results in fractal generation (Julia sets and Mandelbrot sets) by using Noor iteration scheme with s-convexity. …”
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“…The primary objective of this study was to evaluate a range of calculation points on water retention curves (WRC) instead of the singularity point at air-entry suction in the pore-solid fractal (PSF) model, which additionally considered the hysteresis effect based on the PSF theory. …”
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“…Here, we calculate the fractal dimension of images of numerous breast cancer slides, at magnifications of 40×, 100×, 200× and 400×. …”
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“…In this paper, we revisit the fractality of complex network by investigating three dimensions with respect to minimum box-covering, minimum ball-covering and average volume of balls. …”
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“…The present study was designed to use fractal analysis to validate radiograph changes in the hand of RA patients. …”
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“…By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. …”
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“…This work investigates the fractal properties of the spatial distributions of shoreline changes caused by storms. …”
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“…The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transform in the Douglis analysis context acting from Hölder spaces of Douglis algebra valued functions defined on h-summable curves.…”
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“…The present paper brings to the medical specialists’ attention a possibility of multivalent imagistic investigation – the palmar electrographic method submitted to a totally new analysis by the fractal method. Its support for information recording is the radiosensitive film. …”
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“…However, we recently discovered an unusual growth mode in a nanocrystalline Pd-Au alloy, in which grains develop complex, highly convoluted surface morphologies that are best described by a fractional dimension of ∼1.2 (extracted from the perimeters of grain cross sections). This fractal value is characteristic of a variety of domain growth scenarios—including explosive percolation, watersheds of random landscapes, and the migration of domain walls in a random field of pinning centers—which suggests that fractal grain boundary migration could be a manifestation of the same universal behavior.…”
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“…Fractal analysis is a widely used tool to analyze the geometrical complexity of biological structures. …”
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“…These findings were confirmed quantitatively by the results of fractal geometric analysis of these polyps (fractal dimension:1.34±0.08 for SA, 1.23±0.07 for TA, and 1.28±0.12 for HP). …”
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