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Bessel-like functional distributions in brain average evoked potentials.

Antonio Capolupo¹, Robert Kozma^2,3, Andrés Olivares Del Campo⁴

¹Dipartimento di Fisica "E.R.Caianiello", Universitá di Salerno and INFN, Fisciano (Salerno) 84084, Italy. E-mails: capolupo@sa.infn.it, vitiello@sa.infn.it.

Journal of Integrative Neuroscience

|November 11, 2017

Summary

Brain impulse responses exhibit Bessel-like distributions, analyzed using damped oscillators. This model connects to quantum field theory and may inform brain function, perception, and secure communications.

Keywords:

Bessel equations Cortex dynamics Freeman K-sets many-body dissipative model

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Area of Science:

Neuroscience
Quantum Physics
Signal Processing

Background:

Average evoked potentials (AEPs) reflect brain responses to stimuli.
Previous models used ordinary differential equations (Freeman K-sets).
A link between brain dynamics and quantum field theory is proposed.

Purpose of the Study:

Analyze AEP data using Bessel-like functional distributions.
Connect brain dynamics to a dissipative model within quantum gauge field theory.
Investigate control mechanisms for brain discrimination abilities.

Main Methods:

Analysis of AEP data as impulse responses.
Modeling brain activity with coupled damped/amplified oscillators.
Parameter tuning to study control mechanisms.

Main Results:

AEPs show Bessel-like functional distributions.
The oscillator model reproduces results from ordinary differential equations.
The model provides a link to quantum gauge field theory's dissipative brain model.

Conclusions:

The Bessel-like oscillator model offers a new perspective on brain impulse responses.
This framework may explain brain's ability to discriminate perceptions.
Potential applications in secure communication protocols are suggested.