Cargando…

Quantum theory of mass potentials

Probabilistic formalism of quantum mechanics is used to quantitatively link the global scale mass potential with the underlying electrical activity of excitable cells. Previous approaches implemented methods of classical physics to reconstruct the mass potential in terms of explicit physical models...

Descripción completa

Detalles Bibliográficos
Autores principales: Melkonian, Dmitriy, Blumenthal, Terry, Barin, Edward
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6033389/
https://www.ncbi.nlm.nih.gov/pubmed/29975693
http://dx.doi.org/10.1371/journal.pone.0198929
_version_ 1783337692935749632
author Melkonian, Dmitriy
Blumenthal, Terry
Barin, Edward
author_facet Melkonian, Dmitriy
Blumenthal, Terry
Barin, Edward
author_sort Melkonian, Dmitriy
collection PubMed
description Probabilistic formalism of quantum mechanics is used to quantitatively link the global scale mass potential with the underlying electrical activity of excitable cells. Previous approaches implemented methods of classical physics to reconstruct the mass potential in terms of explicit physical models of participating cells and the volume conductor. However, the multiplicity of cellular processes with extremely intricate mixtures of deterministic and random factors prevents the creation of consistent biophysical parameter sets. To avoid the uncertainty inherent in physical attributes of cell ensembles, we undertake here a radical departure from deterministic equations of classical physics, instead applying the probabilistic reasoning of quantum mechanics. Crucial steps include: (1) the relocation of the elementary bioelectric sources from a cellular to a molecular level; (2) the creation of microscale particle models in terms of a non-homogenous birth-and-death process. To link the microscale processes with macroscale potentials, time-frequency analysis was applied for estimation of the empirical characteristic functions for component waveforms of electroencephalogram (EEG), eye-blink electromyogram (EMG), and electrocardiogram (ECG). We describe universal models for the amplitude spectra and phase functions of functional components of mass potentials. The corresponding time domain relationships disclose the dynamics of mass potential components as limit distribution functions produced by specific microscale transients. The probabilistic laws governing the microscale machinery, founded on an empirical basis, are presented. Computer simulations of particle populations with time dependent transition probabilities reveal that hidden deterministic chaos underlies development of the components of mass potentials. We label this kind of behaviour “transient deterministic chaos”.
format Online
Article
Text
id pubmed-6033389
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Public Library of Science
record_format MEDLINE/PubMed
spelling pubmed-60333892018-07-19 Quantum theory of mass potentials Melkonian, Dmitriy Blumenthal, Terry Barin, Edward PLoS One Research Article Probabilistic formalism of quantum mechanics is used to quantitatively link the global scale mass potential with the underlying electrical activity of excitable cells. Previous approaches implemented methods of classical physics to reconstruct the mass potential in terms of explicit physical models of participating cells and the volume conductor. However, the multiplicity of cellular processes with extremely intricate mixtures of deterministic and random factors prevents the creation of consistent biophysical parameter sets. To avoid the uncertainty inherent in physical attributes of cell ensembles, we undertake here a radical departure from deterministic equations of classical physics, instead applying the probabilistic reasoning of quantum mechanics. Crucial steps include: (1) the relocation of the elementary bioelectric sources from a cellular to a molecular level; (2) the creation of microscale particle models in terms of a non-homogenous birth-and-death process. To link the microscale processes with macroscale potentials, time-frequency analysis was applied for estimation of the empirical characteristic functions for component waveforms of electroencephalogram (EEG), eye-blink electromyogram (EMG), and electrocardiogram (ECG). We describe universal models for the amplitude spectra and phase functions of functional components of mass potentials. The corresponding time domain relationships disclose the dynamics of mass potential components as limit distribution functions produced by specific microscale transients. The probabilistic laws governing the microscale machinery, founded on an empirical basis, are presented. Computer simulations of particle populations with time dependent transition probabilities reveal that hidden deterministic chaos underlies development of the components of mass potentials. We label this kind of behaviour “transient deterministic chaos”. Public Library of Science 2018-07-05 /pmc/articles/PMC6033389/ /pubmed/29975693 http://dx.doi.org/10.1371/journal.pone.0198929 Text en https://creativecommons.org/publicdomain/zero/1.0/ This is an open access article, free of all copyright, and may be freely reproduced, distributed, transmitted, modified, built upon, or otherwise used by anyone for any lawful purpose. The work is made available under the Creative Commons CC0 (https://creativecommons.org/publicdomain/zero/1.0/) public domain dedication.
spellingShingle Research Article
Melkonian, Dmitriy
Blumenthal, Terry
Barin, Edward
Quantum theory of mass potentials
title Quantum theory of mass potentials
title_full Quantum theory of mass potentials
title_fullStr Quantum theory of mass potentials
title_full_unstemmed Quantum theory of mass potentials
title_short Quantum theory of mass potentials
title_sort quantum theory of mass potentials
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6033389/
https://www.ncbi.nlm.nih.gov/pubmed/29975693
http://dx.doi.org/10.1371/journal.pone.0198929
work_keys_str_mv AT melkoniandmitriy quantumtheoryofmasspotentials
AT blumenthalterry quantumtheoryofmasspotentials
AT barinedward quantumtheoryofmasspotentials