Non linear approach to study the dynamics of neurodegenerative diseases by Multifractal Detrended Cross-correlation Analysis—A quantitative assessment on gait disease

• Study of Neurodegenerative diseases using MFDXA.
• Study of both autocorrelation and cross correlation gives a better approach to the study of neurodegenerative diseases.
• Degree of correlation (γγ) and degree multifractality (W) are studied.
• Both γγ and W are more in control group compared to diseased set.
• Fundamental results from independent experiments are almost the same.

This paper studies the human gait pattern of normal people and patients suffering from Parkinson’s disease using the MFDXA (Multifractal Detrended Cross-correlation Analysis) methodology. The auto correlation and cross correlation of the time series of the total force under the left foot and right foot were studied. The study reveals that the degree of multifractality (W) and degree of correlation (γγ) are generally more for normal patients than the diseased set. It is also observed that the values of W and γγ are nearly same for left foot and right. It is also observed that the study of autocorrelation alone is not sufficient, cross correlations should also be studied to get a better concept of neurodegenerative diseases.