Fractal Mechanisms in Neural Control

claude

Fractal Bachius

Posts: 563

Fractal Mechanisms in Neural Control

« on: January 11, 2017, 07:19:40 PM »

http://www.physionet.org/tutorials/fmnc/index.shtml

Quote

Fractal Mechanisms in Neural Control
Human Heartbeat and Gait Dynamics in Health and Disease

   Introduction
   Fractal Analysis Methods
   Fractal Objects and Self-Similar Processes
   Mapping Real-World Time Series to Self-Similar Processes
   Detrended Fluctuation Analysis (DFA)
   Relationship Between Self-Similarity and Auto-Correlation Functions
   Fractal Dynamics of Human Heartbeat
   Is the Healthy Human Heartbeat Fractal?
   Does Fractal Scaling Break Down in Disease and Aging?
   Clinical Utility of Fractal Heart Rate Analysis
   Fractal Dynamics of Human Walking
   Is Healthy Gait Rhythm Fractal?
   Stability of Healthy Fractal Rhythm: Effects of Walking Rate
   Mechanisms of Fractal Gait
   Alterations of Fractal Dynamics with Aging and Disease
   Fractal Dynamics of Heart Rate and Gait: Implications and General Conclusions
   References


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Chillheimer

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Fractal Schemer

Posts: 972

Just another fractal being floating by..

Re: Fractal Mechanisms in Neural Control

« Reply #1 on: January 11, 2017, 09:42:35 PM »

Also: balance when standing shows fractal patterns.


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claude

Fractal Bachius

Posts: 563

Re: Fractal Mechanisms in Neural Control

« Reply #2 on: January 11, 2017, 10:23:10 PM »

I had hoped to use the detrended fluctuation analysis in place of correlation exponent calculations for analysing iterated function system fractal dimension, but it failed miserably (ended up with near 0.5 no matter the transforms which is the same as the white noise that controls the chaos game). Is a pity, because DFA is O(n log n), much faster than CE's O(n^2). I attached my implementation with some coloured noise sources as input, here's the output:

Code:

white   0.490273
brown   1.504954
violet  0.009767
pink    1.078109
blue    0.081371
black   1.934080

detrended-fluctuation-analysis.c.txt (5.41 KB - downloaded 172 times.)
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thanks and see you perhaps in 10 years again