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Article
Prasanta Panigrahi
Indian Institute of Science Education and Research Kolkata
Corresponding Author
ORCiD: https://orcid.org/0000-0003-1365-5252
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Clear evidence of wave-particle duality in the brain dynamics is demonstrated for the first time, from the EEG signals of healthy individuals and epileptic patients. The low frequency components exhibit particle type behaviour in a phase-space description, with the potentials as coordinates and their instantaneous changes as the corresponding velocities. The closed paths reveal periodic motion, well described by one linear oscillator or possibly coupled ones with limit cycle dynamics and synchronization at the macroscopic level. The epileptic patients reveal dynamical features of bi-stability, originating from non-linearity, a prominent feature in the signals from the epileptogenic zone and much enhanced during the periods of seizure. Analogy from the phase-space of oscillator dynamics reveals dominance of potential energy in the signals from the epileptogenic zone, as also in the patients during occurrence of seizure. The acceleration, arising from the change of velocity, is found to be particularly strong in epileptic patients, when the phase space shows bi-stability and bursty behaviour. Wave behaviour with characteristics of superposition emerges in the frequency range corresponding to the observed unstable periodic orbits, that appear at the boundary of alpha and beta waves of 8-14Hz, centred at 10Hz. A modulated carrier wave is observed for all subjects at 18Hz, higher in width for patients. Coherent wave dynamics, with interference playing a key role in the wave packet collapse and revival, is observed starting from 18Hz, with the coherence getting significantly enhanced around 40-45Hz. Mechanism of intra frequency energy transfer is shown to be neutral turbulence.
Keywords
Brain EEG signal, Epilepsy, Damped driven oscillator, Limit cycle, Wave particle duality, Coherence, Fourier power spectra, Unstable periodic orbits, Heisenberg Model, Neutral Turbulence
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- SupplMatOscillatorNature.pdf
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This is a preprint, a preliminary version of a manuscript that has not completed peer review at a journal. Research Square does not conduct peer review prior to posting preprints. The posting of a preprint on this server should not be interpreted as an endorsement of its validity or suitability for dissemination as established information or for guiding clinical practice.
Article
Prasanta Panigrahi
Indian Institute of Science Education and Research Kolkata
Corresponding Author
ORCiD: https://orcid.org/0000-0003-1365-5252
Badges
Prescreen
This manuscript passed our Prescreen assessment
Complete author information
Appropriate declaration statements
Potential risks to human health
Prescreen
History
CURRENT STATUS: Posted
The most recent version of this article is available here.
No community comments so far
Version 1
Posted 24 Nov, 2020
No comments provided
Metrics
Comments: 0
PDF Downloads: ...
HTML Views: ...
License:
This work is licensed under a CC BY 4.0 License. Read Full License
The most recent version of this article is available here.
Clear evidence of wave-particle duality in the brain dynamics is demonstrated for the first time, from the EEG signals of healthy individuals and epileptic patients. The low frequency components exhibit particle type behaviour in a phase-space description, with the potentials as coordinates and their instantaneous changes as the corresponding velocities. The closed paths reveal periodic motion, well described by one linear oscillator or possibly coupled ones with limit cycle dynamics and synchronization at the macroscopic level. The epileptic patients reveal dynamical features of bi-stability, originating from non-linearity, a prominent feature in the signals from the epileptogenic zone and much enhanced during the periods of seizure. Analogy from the phase-space of oscillator dynamics reveals dominance of potential energy in the signals from the epileptogenic zone, as also in the patients during occurrence of seizure. The acceleration, arising from the change of velocity, is found to be particularly strong in epileptic patients, when the phase space shows bi-stability and bursty behaviour. Wave behaviour with characteristics of superposition emerges in the frequency range corresponding to the observed unstable periodic orbits, that appear at the boundary of alpha and beta waves of 8-14Hz, centred at 10Hz. A modulated carrier wave is observed for all subjects at 18Hz, higher in width for patients. Coherent wave dynamics, with interference playing a key role in the wave packet collapse and revival, is observed starting from 18Hz, with the coherence getting significantly enhanced around 40-45Hz. Mechanism of intra frequency energy transfer is shown to be neutral turbulence.
Figure 1
Figure 2
Figure 3
Figure 4
This preprint is available for download as a PDF.
There is NO Competing Interest.
This is a list of supplementary files associated with this preprint. Click to download.
- SupplMatOscillatorNature.pdf
Additional and Supplementary Material
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