Fractal Dimension as Quantifier of EEG Activity in Driving Simulation

Victoria Sebastián Mª, Antonia Navascués Mª, Antonio Otal, Carlos Ruiz, Ángeles Idiazábal Mª, Leandro L. Di Stasi and Carolina Díaz-Piedra
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Victoria Sebastián Mª: Centro Universitario de la Defensa de Zaragoza, Academia General Militar, Ctra. Huesca s/n, 50090 Zaragoza, Spain
Antonia Navascués Mª: Department Matemática Aplicada, Escuela de Ingeniería y Arquitectura, Universidad de Zaragoza, C/María de Luna 3, 50018 Zaragoza, Spain
Antonio Otal: Centro Universitario de la Defensa de Zaragoza, Academia General Militar, Ctra. Huesca s/n, 50090 Zaragoza, Spain
Carlos Ruiz: Centro Universitario de la Defensa de Zaragoza, Academia General Militar, Ctra. Huesca s/n, 50090 Zaragoza, Spain
Ángeles Idiazábal Mª: Instituto Neurocognitivo Incia, Centro Adscrito a la Universidad de Barcelona, C/Balmes 203, 08006 Barcelona, Spain
Leandro L. Di Stasi: Instituto Mind, Brain, and Behavior Research Center-CIMCYC, University of Granada, Campus de Cartuja s/n, 18071 Granada, Spain
Carolina Díaz-Piedra: Instituto Mind, Brain, and Behavior Research Center-CIMCYC, University of Granada, Campus de Cartuja s/n, 18071 Granada, Spain

Mathematics, 2021, vol. 9, issue 11, 1-10

Abstract: Dynamical systems and fractal theory methodologies have been proved useful for the modeling and analysis of experimental datasets and, in particular, for electroencephalographic signals. The computation of the fractal dimension of approximation curves in the plane enables the assignment of numerical values to bioelectric recordings in order to discriminate between different states of the observed system. The procedure does not require the stationarity of the signals nor extremely long segments of data. In previous works, we checked that this parameter is a good index for brain activity. In this paper, we consider this measurement in order to quantify the geometric complexity of the brain waves in states of rest and during vehicle driving simulation in different scenarios. This work presents evidence that the fractal dimension allows the detection of the brain bioelectric changes produced in the areas that carry out the different driving simulation tasks, increasing with their complexity.

Keywords: fractal dimension; electroencephalogram; driving simulation; interpolation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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