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Testing Jump-Diffusion in Epileptic Brain Dynamics: Impact of Daily Rhythms

Stochastic approaches to complex dynamical systems have recently provided broader insights into spatial-temporal aspects of epileptic brain dynamics. Stochastic qualifiers based on higher-order Kramers-Moyal coefficients derived directly from time series data indicate improved differentiability betw...

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Detalles Bibliográficos
Autores principales: Kurth, Jutta G., Rings, Thorsten, Lehnertz, Klaus
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8000759/
https://www.ncbi.nlm.nih.gov/pubmed/33807933
http://dx.doi.org/10.3390/e23030309
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author Kurth, Jutta G.
Rings, Thorsten
Lehnertz, Klaus
author_facet Kurth, Jutta G.
Rings, Thorsten
Lehnertz, Klaus
author_sort Kurth, Jutta G.
collection PubMed
description Stochastic approaches to complex dynamical systems have recently provided broader insights into spatial-temporal aspects of epileptic brain dynamics. Stochastic qualifiers based on higher-order Kramers-Moyal coefficients derived directly from time series data indicate improved differentiability between physiological and pathophysiological brain dynamics. It remains unclear, however, to what extent stochastic qualifiers of brain dynamics are affected by other endogenous and/or exogenous influencing factors. Addressing this issue, we investigate multi-day, multi-channel electroencephalographic recordings from a subject with epilepsy. We apply a recently proposed criterion to differentiate between Langevin-type and jump-diffusion processes and observe the type of process most qualified to describe brain dynamics to change with time. Stochastic qualifiers of brain dynamics are strongly affected by endogenous and exogenous rhythms acting on various time scales—ranging from hours to days. Such influences would need to be taken into account when constructing evolution equations for the epileptic brain or other complex dynamical systems subject to external forcings.
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spelling pubmed-80007592021-03-28 Testing Jump-Diffusion in Epileptic Brain Dynamics: Impact of Daily Rhythms Kurth, Jutta G. Rings, Thorsten Lehnertz, Klaus Entropy (Basel) Article Stochastic approaches to complex dynamical systems have recently provided broader insights into spatial-temporal aspects of epileptic brain dynamics. Stochastic qualifiers based on higher-order Kramers-Moyal coefficients derived directly from time series data indicate improved differentiability between physiological and pathophysiological brain dynamics. It remains unclear, however, to what extent stochastic qualifiers of brain dynamics are affected by other endogenous and/or exogenous influencing factors. Addressing this issue, we investigate multi-day, multi-channel electroencephalographic recordings from a subject with epilepsy. We apply a recently proposed criterion to differentiate between Langevin-type and jump-diffusion processes and observe the type of process most qualified to describe brain dynamics to change with time. Stochastic qualifiers of brain dynamics are strongly affected by endogenous and exogenous rhythms acting on various time scales—ranging from hours to days. Such influences would need to be taken into account when constructing evolution equations for the epileptic brain or other complex dynamical systems subject to external forcings. MDPI 2021-03-05 /pmc/articles/PMC8000759/ /pubmed/33807933 http://dx.doi.org/10.3390/e23030309 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) ).
spellingShingle Article
Kurth, Jutta G.
Rings, Thorsten
Lehnertz, Klaus
Testing Jump-Diffusion in Epileptic Brain Dynamics: Impact of Daily Rhythms
title Testing Jump-Diffusion in Epileptic Brain Dynamics: Impact of Daily Rhythms
title_full Testing Jump-Diffusion in Epileptic Brain Dynamics: Impact of Daily Rhythms
title_fullStr Testing Jump-Diffusion in Epileptic Brain Dynamics: Impact of Daily Rhythms
title_full_unstemmed Testing Jump-Diffusion in Epileptic Brain Dynamics: Impact of Daily Rhythms
title_short Testing Jump-Diffusion in Epileptic Brain Dynamics: Impact of Daily Rhythms
title_sort testing jump-diffusion in epileptic brain dynamics: impact of daily rhythms
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8000759/
https://www.ncbi.nlm.nih.gov/pubmed/33807933
http://dx.doi.org/10.3390/e23030309
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