Chaotic dynamics of the Hénon map and neuronal input–output: A comparison with neurophysiological data

In this study, the Hénon map was analyzed using quantifiers from information theory in order to compare its dynamics to experimental data from brain regions known to exhibit chaotic behavior. The goal was to investigate the potential of the Hénon map as a model for replicating chaotic brain dynamics...

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Autores principales: Guisande, Natalí, Pallares Di Nunzio, Monserrat, Martinez, Nataniel, Rosso, Osvaldo Aníbal, Montani, Fernando Fabián
Formato: Articulo
Lenguaje:Inglés
Publicado: 2023
Materias:
Física
Hénon map
q-DG model of neuronal input–output
Shannon entropy
dynamic behavior
neurophysiological signals
complex spectrumof dynamical characteristics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/160848
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-160848
record_format dspace
spelling I19-R120-10915-1608482023-11-29T20:07:29Z http://sedici.unlp.edu.ar/handle/10915/160848 Chaotic dynamics of the Hénon map and neuronal input–output: A comparison with neurophysiological data Guisande, Natalí Pallares Di Nunzio, Monserrat Martinez, Nataniel Rosso, Osvaldo Aníbal Montani, Fernando Fabián 2023-04-03 2023-11-29T13:17:49Z en Física Hénon map q-DG model of neuronal input–output Shannon entropy dynamic behavior neurophysiological signals complex spectrumof dynamical characteristics In this study, the Hénon map was analyzed using quantifiers from information theory in order to compare its dynamics to experimental data from brain regions known to exhibit chaotic behavior. The goal was to investigate the potential of the Hénon map as a model for replicating chaotic brain dynamics in the treatment of Parkinson’s and epilepsy patients. The dynamic properties of the Hénon map were compared with data from the subthalamic nucleus, the medial frontal cortex, and a q-DG model of neuronal input–output with easy numerical implementation to simulate the local behavior of a population. Using information theory tools, Shannon entropy, statistical complexity, and Fisher’s information were analyzed, taking into account the causality of the time series. For this purpose, different windows over the time series were considered. The findings revealed that neither the Hénon map nor the q-DG model could perfectly replicate the dynamics of the brain regions studied. However, with careful consideration of the parameters, scales, and sampling used, they were able to model some characteristics of neural activity. According to these results, normal neural dynamics in the subthalamic nucleus region may present a more complex spectrum within the complexity–entropy causality plane that cannot be represented by chaotic models alone. The dynamic behavior observed in these systems using these tools is highly dependent on the studied temporal scale. As the size of the sample studied increases, the dynamics of the Hénon map become increasingly different from those of biological and artificial neural systems. Instituto de Física La Plata Articulo Articulo http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Hénon map
q-DG model of neuronal input–output
Shannon entropy
dynamic behavior
neurophysiological signals
complex spectrumof dynamical characteristics
spellingShingle Física
Hénon map
q-DG model of neuronal input–output
Shannon entropy
dynamic behavior
neurophysiological signals
complex spectrumof dynamical characteristics
Guisande, Natalí
Pallares Di Nunzio, Monserrat
Martinez, Nataniel
Rosso, Osvaldo Aníbal
Montani, Fernando Fabián
Chaotic dynamics of the Hénon map and neuronal input–output: A comparison with neurophysiological data
topic_facet Física
Hénon map
q-DG model of neuronal input–output
Shannon entropy
dynamic behavior
neurophysiological signals
complex spectrumof dynamical characteristics
description In this study, the Hénon map was analyzed using quantifiers from information theory in order to compare its dynamics to experimental data from brain regions known to exhibit chaotic behavior. The goal was to investigate the potential of the Hénon map as a model for replicating chaotic brain dynamics in the treatment of Parkinson’s and epilepsy patients. The dynamic properties of the Hénon map were compared with data from the subthalamic nucleus, the medial frontal cortex, and a q-DG model of neuronal input–output with easy numerical implementation to simulate the local behavior of a population. Using information theory tools, Shannon entropy, statistical complexity, and Fisher’s information were analyzed, taking into account the causality of the time series. For this purpose, different windows over the time series were considered. The findings revealed that neither the Hénon map nor the q-DG model could perfectly replicate the dynamics of the brain regions studied. However, with careful consideration of the parameters, scales, and sampling used, they were able to model some characteristics of neural activity. According to these results, normal neural dynamics in the subthalamic nucleus region may present a more complex spectrum within the complexity–entropy causality plane that cannot be represented by chaotic models alone. The dynamic behavior observed in these systems using these tools is highly dependent on the studied temporal scale. As the size of the sample studied increases, the dynamics of the Hénon map become increasingly different from those of biological and artificial neural systems.
format Articulo
Articulo
author Guisande, Natalí
Pallares Di Nunzio, Monserrat
Martinez, Nataniel
Rosso, Osvaldo Aníbal
Montani, Fernando Fabián
author_facet Guisande, Natalí
Pallares Di Nunzio, Monserrat
Martinez, Nataniel
Rosso, Osvaldo Aníbal
Montani, Fernando Fabián
author_sort Guisande, Natalí
title Chaotic dynamics of the Hénon map and neuronal input–output: A comparison with neurophysiological data
title_short Chaotic dynamics of the Hénon map and neuronal input–output: A comparison with neurophysiological data
title_full Chaotic dynamics of the Hénon map and neuronal input–output: A comparison with neurophysiological data
title_fullStr Chaotic dynamics of the Hénon map and neuronal input–output: A comparison with neurophysiological data
title_full_unstemmed Chaotic dynamics of the Hénon map and neuronal input–output: A comparison with neurophysiological data
title_sort chaotic dynamics of the hénon map and neuronal input–output: a comparison with neurophysiological data
publishDate 2023
url http://sedici.unlp.edu.ar/handle/10915/160848
work_keys_str_mv AT guisandenatali chaoticdynamicsofthehenonmapandneuronalinputoutputacomparisonwithneurophysiologicaldata
AT pallaresdinunziomonserrat chaoticdynamicsofthehenonmapandneuronalinputoutputacomparisonwithneurophysiologicaldata
AT martineznataniel chaoticdynamicsofthehenonmapandneuronalinputoutputacomparisonwithneurophysiologicaldata
AT rossoosvaldoanibal chaoticdynamicsofthehenonmapandneuronalinputoutputacomparisonwithneurophysiologicaldata
AT montanifernandofabian chaoticdynamicsofthehenonmapandneuronalinputoutputacomparisonwithneurophysiologicaldata
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