Power spectral analysis of voltage-gated channels in neurons

This article develops a fundamental insight into the behavior of neuronal membranes, focusing on their responses to stimuli measured with power spectra in the frequency domain. It explores the use of linear and nonlinear (quadratic sinusoidal analysis) approaches to characterize neuronal function. I...

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Main Authors: Christophe Magnani, Lee E. Moore
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-01-01
Series:Frontiers in Neuroinformatics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fninf.2024.1472499/full
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author Christophe Magnani
Lee E. Moore
author_facet Christophe Magnani
Lee E. Moore
author_sort Christophe Magnani
collection DOAJ
description This article develops a fundamental insight into the behavior of neuronal membranes, focusing on their responses to stimuli measured with power spectra in the frequency domain. It explores the use of linear and nonlinear (quadratic sinusoidal analysis) approaches to characterize neuronal function. It further delves into the random theory of internal noise of biological neurons and the use of stochastic Markov models to investigate these fluctuations. The text also discusses the origin of conductance noise and compares different power spectra for interpreting this noise. Importantly, it introduces a novel sequential chemical state model, named p2, which is more general than the Hodgkin–Huxley formulation, so that the probability for an ion channel to be open does not imply exponentiation. In particular, it is demonstrated that the p2 (without exponentiation) and n4 (with exponentiation) models can produce similar neuronal responses. A striking relationship is also shown between fluctuation and quadratic power spectra, suggesting that voltage-dependent random mechanisms can have a significant impact on deterministic nonlinear responses, themselves known to have a crucial role in the generation of action potentials in biological neural networks.
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spelling doaj-art-ebf01259c1d440aaa067a7372b4be89d2025-01-15T06:10:50ZengFrontiers Media S.A.Frontiers in Neuroinformatics1662-51962025-01-011810.3389/fninf.2024.14724991472499Power spectral analysis of voltage-gated channels in neuronsChristophe MagnaniLee E. MooreThis article develops a fundamental insight into the behavior of neuronal membranes, focusing on their responses to stimuli measured with power spectra in the frequency domain. It explores the use of linear and nonlinear (quadratic sinusoidal analysis) approaches to characterize neuronal function. It further delves into the random theory of internal noise of biological neurons and the use of stochastic Markov models to investigate these fluctuations. The text also discusses the origin of conductance noise and compares different power spectra for interpreting this noise. Importantly, it introduces a novel sequential chemical state model, named p2, which is more general than the Hodgkin–Huxley formulation, so that the probability for an ion channel to be open does not imply exponentiation. In particular, it is demonstrated that the p2 (without exponentiation) and n4 (with exponentiation) models can produce similar neuronal responses. A striking relationship is also shown between fluctuation and quadratic power spectra, suggesting that voltage-dependent random mechanisms can have a significant impact on deterministic nonlinear responses, themselves known to have a crucial role in the generation of action potentials in biological neural networks.https://www.frontiersin.org/articles/10.3389/fninf.2024.1472499/fullHodgkin–HuxleyMarkovvoltage-gated ion channelsneuronal noiseadmittancequadratic sinusoidal analysis
spellingShingle Christophe Magnani
Lee E. Moore
Power spectral analysis of voltage-gated channels in neurons
Frontiers in Neuroinformatics
Hodgkin–Huxley
Markov
voltage-gated ion channels
neuronal noise
admittance
quadratic sinusoidal analysis
title Power spectral analysis of voltage-gated channels in neurons
title_full Power spectral analysis of voltage-gated channels in neurons
title_fullStr Power spectral analysis of voltage-gated channels in neurons
title_full_unstemmed Power spectral analysis of voltage-gated channels in neurons
title_short Power spectral analysis of voltage-gated channels in neurons
title_sort power spectral analysis of voltage gated channels in neurons
topic Hodgkin–Huxley
Markov
voltage-gated ion channels
neuronal noise
admittance
quadratic sinusoidal analysis
url https://www.frontiersin.org/articles/10.3389/fninf.2024.1472499/full
work_keys_str_mv AT christophemagnani powerspectralanalysisofvoltagegatedchannelsinneurons
AT leeemoore powerspectralanalysisofvoltagegatedchannelsinneurons