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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2021
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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. |
format | Online Article Text |
id | pubmed-8000759 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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