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=== | === Resulti === | ||
In | In questo documento, abbiamo adattato le ampiezze di probabilità della meccanica quantistica per definire nuove metriche per l'esame dei dati EEG: la "posizione media" e il "momento medio" del segnale EEG. Questi sono stati costruiti dalla nostra definizione di "stati cerebrali" basata sul modello quasi quantistico. Ciò ci ha permesso di accertare la frequenza con cui le regioni cerebrali uniche vengono inserite dalla pseudo-funzione d'onda, nonché di esplorare lo spazio delle fasi di valore medio. Infine, è stata stabilita una relazione di incertezza analoga a quella della meccanica quantistica, con la piena derivazione matematica descritta nei metodi. | ||
==== | ==== Valore medio ==== | ||
The ‘average position’ of the EEG data was first extracted performing a Hilbert transform of the pre-processed time courses, and then applying a normalization constraint. Typically, the Hilbert transformed data is used to generate a metric of power dispersion or to extract the phase of the signal<ref>Freeman WJ, Vitiello G. Nonlinear brain dynamics as macroscopic manifestation of underlying many-body field dynamics. Phys. Life Rev. 2006;3:93–118. doi: 10.1016/j.plrev.2006.02.001.[CrossRef] [Google Scholar] | The ‘average position’ of the EEG data was first extracted performing a Hilbert transform of the pre-processed time courses, and then applying a normalization constraint. Typically, the Hilbert transformed data is used to generate a metric of power dispersion or to extract the phase of the signal<ref>Freeman WJ, Vitiello G. Nonlinear brain dynamics as macroscopic manifestation of underlying many-body field dynamics. Phys. Life Rev. 2006;3:93–118. doi: 10.1016/j.plrev.2006.02.001.[CrossRef] [Google Scholar] | ||
</ref><ref>le Van Quyen M, et al. Comparison of Hilbert transform and wavelet methods for the analysis of neuronal synchrony. J. Neurosci. Methods. 2001;111:83–98. doi: 10.1016/S0165-0270(01)00372-7.[PubMed] [CrossRef] [Google Scholar]</ref><ref>Freeman WJ. Deep analysis of perception through dynamic structures that emerge in cortical activity from self-regulated noise. Cogn. Neurodyn. 2009;3:105–116. doi: 10.1007/s11571-009-9075-3.[PMC free article] [PubMed] [CrossRef] [Google Scholar]</ref>. Instead, we imposed a new normalization condition, thereby creating an analogy to the wavefunctions of quantum mechanics. Denoting the Hilbert transformed time course of the <math>j</math>th electrode as <math>\Psi_j</math>, this is equivalent to | </ref><ref>le Van Quyen M, et al. Comparison of Hilbert transform and wavelet methods for the analysis of neuronal synchrony. J. Neurosci. Methods. 2001;111:83–98. doi: 10.1016/S0165-0270(01)00372-7.[PubMed] [CrossRef] [Google Scholar]</ref><ref>Freeman WJ. Deep analysis of perception through dynamic structures that emerge in cortical activity from self-regulated noise. Cogn. Neurodyn. 2009;3:105–116. doi: 10.1007/s11571-009-9075-3.[PMC free article] [PubMed] [CrossRef] [Google Scholar]</ref>. Instead, we imposed a new normalization condition, thereby creating an analogy to the wavefunctions of quantum mechanics. Denoting the Hilbert transformed time course of the <math>j</math>th electrode as <math>\Psi_j</math>, this is equivalent to | ||