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Article Dans Une Revue Mathematical Biosciences and Engineering Année : 2023

Characterization of spatiotemporal dynamics in EEG data during picture naming with optical flow patterns

Résumé

In this study, we investigate the spatiotemporal dynamics of the neural oscillations by analyzing the electric potential that arises from neural activity. We identify two types of dynamics based on the frequency and phase of oscillations: standing waves or as out-of-phase and modulated waves, which represent a combination of standing and moving waves. To characterize these dynamics, we use optical flow patterns such as sources, sinks, spirals and saddles. We compare analytical and numerical solutions with real EEG data acquired during a picture-naming task. Analytical approximation of standing waves helps us to establish some properties of pattern location and number. Specifically, sources and sinks are mainly located in the same location, while saddles are positioned between them. The number of saddles correlates with the sum of all the other patterns. These properties are confirmed in both the simulated and real EEG data. In particular, source and sink clusters in the EEG data overlap with each other with median percentages around 60%, and hence have high spatial correlation, while source/sink clusters overlap with saddle clusters in less than 1%, and have different locations. Our statistical analysis showed that saddles account for about 45% of all patterns, while the remaining patterns are present in similar proportions.
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Dates et versions

hal-03875641 , version 1 (28-04-2023)

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Vitaly A Volpert, Binbin Xu, Andon Tchechmedjiev, Sébastien Harispe, A. Aksenov, et al.. Characterization of spatiotemporal dynamics in EEG data during picture naming with optical flow patterns. Mathematical Biosciences and Engineering, 2023, 20 (6), pp.11429-11463. ⟨10.3934/mbe.2023507⟩. ⟨hal-03875641⟩
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