Recurrence quantification analysis during a mental calculation task

Author:

Ledesma-Ramírez Claudia Ivette1ORCID,Hernández-Gloria José Jesús1ORCID,Bojorges-Valdez Erik1ORCID,Yanez-Suarez Oscar2ORCID,Piña-Ramírez Omar3ORCID

Affiliation:

1. Engineering Studies for Innovation, Universidad Iberoamericana 1 , 01219 Ciudad de México, Mexico

2. Neuroimage Research Lab, Universidad Autónoma Metropolitana 2 , 09340 Ciudad de México, Mexico

3. Bioinformatics and Statistical Analysis Department, Instituto Nacional de Perinatología 3 , 11000 Ciudad de México, Mexico

Abstract

The identification of brain dynamical changes under different cognitive conditions with noninvasive techniques such as electroencephalography (EEG) is relevant for the understanding of their underlying neural mechanisms. The comprehension of these mechanisms has applications in the early diagnosis of neurological disorders and asynchronous brain computer interfaces. In both cases, there are no reported features that could describe intersubject and intra subject dynamics behavior accurately enough to be applied on a daily basis. The present work proposes the use of three nonlinear features (recurrence rate, determinism, and recurrence times) extracted from recurrence quantification analysis (RQA) to describe central and parietal EEG power series complexity in continuous alternating episodes of mental calculation and rest state. Our results demonstrate a consistent mean directional change of determinism, recurrence rate, and recurrence times between conditions. Increasing values of determinism and recurrence rate were present from the rest state to mental calculation, whereas recurrence times showed the opposite pattern. The analyzed features in the present study showed statistically significant changes between rest and mental calculation states in both individual and population analysis. In general, our study described mental calculation EEG power series as less complex systems in comparison to the rest state. Moreover, ANOVA showed stability of RQA features along time.

Funder

Universidad Iberoamericana Ciudad de México

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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