Authors:
Nicoló Colistra
1
;
Luca Pietrosanti
1
;
Mohamed El Arayshi
1
;
Sara Maurantonio
2
;
Beatrice Francavilla
2
;
Piergiorgio Giacomini
2
and
Cristiano Verrelli
1
Affiliations:
1
Department of Electronic Engineering, University of Rome Tor Vergata, Via del Politecnico 1, 00133 Rome, Italy
;
2
Division of Otolaryngology, University Hospital of Rome Tor Vergata, Viale Oxford 81, 00133 Rome, Italy
Keyword(s):
Gait Analysis, Walking Gait, Asymmetry, Self-Similarity, Golden Ratio, Benign Paroxysmal Positional Vertigo.
Abstract:
Very recent research directions have been devoted to providing a theoretical foundation to the experimental evidence that human movements, such as walking, are able to induce time-harmonic motor patterns. The resulting findings have shown that such harmonic structures are characterized by the golden ratio occurring as the ratio of the durations of the walking gait sub-phases that compose generalized Fibonacci sequences. A new comprehensive gait index, named Φ-bonacci gait number, and a new related experimental conjecture – concerning the position of the foot relative to the tibia – have been concurrently proposed to capture the most reliable and objective (quantitive) outcome measures (and their distortions in pathological subjects) of recursivity, asymmetry, consistency, and self-similarity (harmonicity) of the gait cycle. This paper provides, for the first time, experimental results on healthy and pathological gaits – related to benign paroxysmal positional vertigo (BPPV) – that fu
lly support the aforementioned theoretical derivations.
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