scholarly journals Tangent measure distributions of fractal measures

1998 ◽  
Vol 312 (1) ◽  
pp. 53-93 ◽  
Author(s):  
Peter Mörters ◽  
David Preiss
Keyword(s):  
Fractal Measures ◽  
Tangent Measure

scholarly journals EEG Fractal Analysis Reflects Brain Impairment after Stroke

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 592
Author(s):  
Maria Rubega ◽  
Emanuela Formaggio ◽  
Franco Molteni ◽  
Eleonora Guanziroli ◽  
Roberto Di Marco ◽  
...  
Keyword(s):  
Early Stage ◽  
Brain Activity ◽  
Phase 1 ◽  
Behavioral Changes ◽  
Stroke Survivors ◽  
Eeg Signals ◽  
Novel Treatments ◽  
Fractal Measures ◽  
Underlying Mechanisms ◽  
Random Fluctuations

Stroke is the commonest cause of disability. Novel treatments require an improved understanding of the underlying mechanisms of recovery. Fractal approaches have demonstrated that a single metric can describe the complexity of seemingly random fluctuations of physiological signals. We hypothesize that fractal algorithms applied to electroencephalographic (EEG) signals may track brain impairment after stroke. Sixteen stroke survivors were studied in the hyperacute (<48 h) and in the acute phase (∼1 week after stroke), and 35 stroke survivors during the early subacute phase (from 8 days to 32 days and after ∼2 months after stroke): We compared resting-state EEG fractal changes using fractal measures (i.e., Higuchi Index, Tortuosity) with 11 healthy controls. Both Higuchi index and Tortuosity values were significantly lower after a stroke throughout the acute and early subacute stage compared to healthy subjects, reflecting a brain activity which is significantly less complex. These indices may be promising metrics to track behavioral changes in the very early stage after stroke. Our findings might contribute to the neurorehabilitation quest in identifying reliable biomarkers for a better tailoring of rehabilitation pathways.

Fractal measures and diffusion as results of learning in neural networks

1993 ◽  
Vol 174 (4) ◽  
pp. 293-297 ◽  
Author(s):  
G. Radons ◽  
H.G. Schuster ◽  
D. Werner
Keyword(s):  
Neural Networks ◽  
Fractal Measures ◽  
And Diffusion

Fractal Measures

2002 ◽  
pp. 1037-1054 ◽  
Author(s):  
J. Falconer Kenneth
Keyword(s):  
Fractal Measures

scholarly journals Fractal Measures of Complex Networks Applied to Texture Analysis

2013 ◽  
Vol 410 ◽  
pp. 012091
Author(s):  
João Batista Florindo ◽  
Dalcimar Casanova ◽  
Odemir Martinez Bruno
Keyword(s):  
Complex Networks ◽  
Texture Analysis ◽  
Fractal Measures

Time-dependent scattering on fractal measures

1998 ◽  
Vol 39 (8) ◽  
pp. 4165-4194 ◽  
Author(s):  
Charles-Antoine Guerin ◽  
Matthias Holschneider
Keyword(s):  
Time Dependent ◽  
Fractal Measures
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