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Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model

BACKGROUND: Development of effective and plausible numerical tools is an imperative task for thorough studies of nonlinear dynamics in life science applications. RESULTS: We have developed a complementary suite of computational tools for two-parameter screening of dynamics in neuronal models. We tes...

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Detalles Bibliográficos
Autores principales: Barrio, Roberto, Shilnikov, Andrey
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer 2011
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3365907/
https://www.ncbi.nlm.nih.gov/pubmed/22656867
http://dx.doi.org/10.1186/2190-8567-1-6
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author Barrio, Roberto
Shilnikov, Andrey
author_facet Barrio, Roberto
Shilnikov, Andrey
author_sort Barrio, Roberto
collection PubMed
description BACKGROUND: Development of effective and plausible numerical tools is an imperative task for thorough studies of nonlinear dynamics in life science applications. RESULTS: We have developed a complementary suite of computational tools for two-parameter screening of dynamics in neuronal models. We test a ‘brute-force’ effectiveness of neuroscience plausible techniques specifically tailored for the examination of temporal characteristics, such duty cycle of bursting, interspike interval, spike number deviation in the phenomenological Hindmarsh-Rose model of a bursting neuron and compare the results obtained by calculus-based tools for evaluations of an entire spectrum of Lyapunov exponents broadly employed in studies of nonlinear systems. CONCLUSIONS: We have found that the results obtained either way agree exceptionally well, and can identify and differentiate between various fine structures of complex dynamics and underlying global bifurcations in this exemplary model. Our future planes are to enhance the applicability of this computational suite for understanding of polyrhythmic bursting patterns and their functional transformations in small networks.
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spelling pubmed-33659072012-06-05 Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model Barrio, Roberto Shilnikov, Andrey J Math Neurosci Research BACKGROUND: Development of effective and plausible numerical tools is an imperative task for thorough studies of nonlinear dynamics in life science applications. RESULTS: We have developed a complementary suite of computational tools for two-parameter screening of dynamics in neuronal models. We test a ‘brute-force’ effectiveness of neuroscience plausible techniques specifically tailored for the examination of temporal characteristics, such duty cycle of bursting, interspike interval, spike number deviation in the phenomenological Hindmarsh-Rose model of a bursting neuron and compare the results obtained by calculus-based tools for evaluations of an entire spectrum of Lyapunov exponents broadly employed in studies of nonlinear systems. CONCLUSIONS: We have found that the results obtained either way agree exceptionally well, and can identify and differentiate between various fine structures of complex dynamics and underlying global bifurcations in this exemplary model. Our future planes are to enhance the applicability of this computational suite for understanding of polyrhythmic bursting patterns and their functional transformations in small networks. Springer 2011-07-11 /pmc/articles/PMC3365907/ /pubmed/22656867 http://dx.doi.org/10.1186/2190-8567-1-6 Text en Copyright © 2011 Barrio, Shilnikov; licensee Springer https://creativecommons.org/licenses/by/2.0/This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0 (https://creativecommons.org/licenses/by/2.0/) ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research
Barrio, Roberto
Shilnikov, Andrey
Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model
title Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model
title_full Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model
title_fullStr Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model
title_full_unstemmed Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model
title_short Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model
title_sort parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of hindmarsh-rose model
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3365907/
https://www.ncbi.nlm.nih.gov/pubmed/22656867
http://dx.doi.org/10.1186/2190-8567-1-6
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