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Fractal Dimension as Quantifier of EEG Activity in Driving Simulation

Centro Universitario de la Defensa de Zaragoza, Academia General Militar, Ctra. Huesca s/n, 50090 Zaragoza, Spain
Department Matemática Aplicada, Escuela de Ingeniería y Arquitectura, Universidad de Zaragoza, C/María de Luna 3, 50018 Zaragoza, Spain
Instituto Neurocognitivo Incia, Centro Adscrito a la Universidad de Barcelona, C/Balmes 203, 08006 Barcelona, Spain
Instituto Mind, Brain, and Behavior Research Center-CIMCYC, University of Granada, Campus de Cartuja s/n, 18071 Granada, Spain
Author to whom correspondence should be addressed.
Academic Editor: Duarte Pedro Mata de Oliveira Valério
Mathematics 2021, 9(11), 1311;
Received: 24 March 2021 / Revised: 2 June 2021 / Accepted: 3 June 2021 / Published: 7 June 2021
(This article belongs to the Section Engineering Mathematics)
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. View Full-Text
Keywords: fractal dimension; electroencephalogram; driving simulation; interpolation fractal dimension; electroencephalogram; driving simulation; interpolation
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MDPI and ACS Style

Sebastián, M.V.; Navascués, M.A.; Otal, A.; Ruiz, C.; Idiazábal, M.Á.; Stasi, L.L.D.; Díaz-Piedra, C. Fractal Dimension as Quantifier of EEG Activity in Driving Simulation. Mathematics 2021, 9, 1311.

AMA Style

Sebastián MV, Navascués MA, Otal A, Ruiz C, Idiazábal MÁ, Stasi LLD, Díaz-Piedra C. Fractal Dimension as Quantifier of EEG Activity in Driving Simulation. Mathematics. 2021; 9(11):1311.

Chicago/Turabian Style

Sebastián, Mª Victoria, Mª Antonia Navascués, Antonio Otal, Carlos Ruiz, Mª Ángeles Idiazábal, Leandro L. Di Stasi, and Carolina Díaz-Piedra. 2021. "Fractal Dimension as Quantifier of EEG Activity in Driving Simulation" Mathematics 9, no. 11: 1311.

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