Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold

The aim of this work is to introduce and study simple neuron models with a dynamic threshold: The integrate and fire with dynamic threshold and a resonate and fire with dynamic threshold. The last model is a new model raised from an initial study of the integrate and fire with a dynamic threshold. T...

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Detalles Bibliográficos
Autor: Morales Morales, José Eduardo
Tipo de recurso: tesis de maestría
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2099.1/20531
Acceso en línea:https://hdl.handle.net/2099.1/20531
Access Level:acceso abierto
Palabra clave:Differentiable dynamical systems
Computational Neuroscience
Non-Smooth, Dynamical System
Integrate and Fire
Resonate and Fire
Dynamic Threshold
Sistemes dinàmics diferenciables
Teoria ergòdica
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
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spelling Non-smooth dynamics in integrate-and-fire neuron models with dynamic thresholdMorales Morales, José EduardoDifferentiable dynamical systemsComputational NeuroscienceNon-Smooth, Dynamical SystemIntegrate and FireResonate and FireDynamic ThresholdSistemes dinàmics diferenciablesTeoria ergòdicaClassificació AMS::37 Dynamical systems and ergodic theory::37N ApplicationsÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmicsThe aim of this work is to introduce and study simple neuron models with a dynamic threshold: The integrate and fire with dynamic threshold and a resonate and fire with dynamic threshold. The last model is a new model raised from an initial study of the integrate and fire with a dynamic threshold. The characteristics of the new model are studied from a mathematical point of view specially concerning the dynamical systems theory of the non-smooth systems. . In this project we will study analytically and computationally integrate-and-fire models with dynamic threshold, reproducing behaviors observed in the real nervoussystems, using techniques from non-smooth systems. Our goal is to describe the types of spiking patterns that can generate in response to steady and periodic current stimulationUniversitat Politècnica de CatalunyaMartínez-Seara Alonso, M. TeresaHuguet Casades, Gemma20132013-10-0120142014-01-30master thesishttp://purl.org/coar/resource_type/c_bdccNAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2099.1/20531reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2099.1/205312026-05-27T15:37:01Z
dc.title.none.fl_str_mv Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold
title Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold
spellingShingle Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold
Morales Morales, José Eduardo
Differentiable dynamical systems
Computational Neuroscience
Non-Smooth, Dynamical System
Integrate and Fire
Resonate and Fire
Dynamic Threshold
Sistemes dinàmics diferenciables
Teoria ergòdica
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
title_short Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold
title_full Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold
title_fullStr Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold
title_full_unstemmed Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold
title_sort Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold
dc.creator.none.fl_str_mv Morales Morales, José Eduardo
author Morales Morales, José Eduardo
author_facet Morales Morales, José Eduardo
author_role author
dc.contributor.none.fl_str_mv Martínez-Seara Alonso, M. Teresa
Huguet Casades, Gemma
dc.subject.none.fl_str_mv Differentiable dynamical systems
Computational Neuroscience
Non-Smooth, Dynamical System
Integrate and Fire
Resonate and Fire
Dynamic Threshold
Sistemes dinàmics diferenciables
Teoria ergòdica
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
topic Differentiable dynamical systems
Computational Neuroscience
Non-Smooth, Dynamical System
Integrate and Fire
Resonate and Fire
Dynamic Threshold
Sistemes dinàmics diferenciables
Teoria ergòdica
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
description The aim of this work is to introduce and study simple neuron models with a dynamic threshold: The integrate and fire with dynamic threshold and a resonate and fire with dynamic threshold. The last model is a new model raised from an initial study of the integrate and fire with a dynamic threshold. The characteristics of the new model are studied from a mathematical point of view specially concerning the dynamical systems theory of the non-smooth systems. . In this project we will study analytically and computationally integrate-and-fire models with dynamic threshold, reproducing behaviors observed in the real nervoussystems, using techniques from non-smooth systems. Our goal is to describe the types of spiking patterns that can generate in response to steady and periodic current stimulation
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-10-01
2014
2014-01-30
dc.type.none.fl_str_mv master thesis
http://purl.org/coar/resource_type/c_bdcc
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2099.1/20531
url https://hdl.handle.net/2099.1/20531
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya
publisher.none.fl_str_mv Universitat Politècnica de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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