Generic two-variable model of excitability

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We present a simple model that displays all classes of two-dimensional excitable regimes. One of the variables of the model displays the usual spikes observed in excitable systems. Since the model is written in terms of a "standard" vector field, it is always possible to fit it to experime...

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Detalles Bibliográficos
Autores principales: Ventura, A.C., Mindlin, G.B., Dawson, S.P.
Formato: JOUR
Materias:
animal
biological model
leech
membrane potential
physiology
signal transduction
Animals
Leeches
Membrane Potentials
Models, Neurological
Signal Transduction
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v65_n4_p46231_Ventura
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15393755_v65_n4_p46231_Ventura
record_format dspace
spelling todo:paper_15393755_v65_n4_p46231_Ventura2023-10-03T16:22:02Z Generic two-variable model of excitability Ventura, A.C. Mindlin, G.B. Dawson, S.P. animal biological model leech membrane potential physiology signal transduction Animals Leeches Membrane Potentials Models, Neurological Signal Transduction We present a simple model that displays all classes of two-dimensional excitable regimes. One of the variables of the model displays the usual spikes observed in excitable systems. Since the model is written in terms of a "standard" vector field, it is always possible to fit it to experimental data displaying spikes in an algorithmic way. In fact, we use it to fit a series of membrane potential recordings obtained in the medicinal leech and time series generated with the FitzHugh-Nagumo equations and the excitability model of Eguía et al. [Phys. Rev. E 58, 2636 (1998)]. In each case, we determine the excitability class of the corresponding system. Fil:Ventura, A.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v65_n4_p46231_Ventura
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic animal
biological model
leech
membrane potential
physiology
signal transduction
Animals
Leeches
Membrane Potentials
Models, Neurological
Signal Transduction
spellingShingle animal
biological model
leech
membrane potential
physiology
signal transduction
Animals
Leeches
Membrane Potentials
Models, Neurological
Signal Transduction
Ventura, A.C.
Mindlin, G.B.
Dawson, S.P.
Generic two-variable model of excitability
topic_facet animal
biological model
leech
membrane potential
physiology
signal transduction
Animals
Leeches
Membrane Potentials
Models, Neurological
Signal Transduction
description We present a simple model that displays all classes of two-dimensional excitable regimes. One of the variables of the model displays the usual spikes observed in excitable systems. Since the model is written in terms of a "standard" vector field, it is always possible to fit it to experimental data displaying spikes in an algorithmic way. In fact, we use it to fit a series of membrane potential recordings obtained in the medicinal leech and time series generated with the FitzHugh-Nagumo equations and the excitability model of Eguía et al. [Phys. Rev. E 58, 2636 (1998)]. In each case, we determine the excitability class of the corresponding system.
format JOUR
author Ventura, A.C.
Mindlin, G.B.
Dawson, S.P.
author_facet Ventura, A.C.
Mindlin, G.B.
Dawson, S.P.
author_sort Ventura, A.C.
title Generic two-variable model of excitability
title_short Generic two-variable model of excitability
title_full Generic two-variable model of excitability
title_fullStr Generic two-variable model of excitability
title_full_unstemmed Generic two-variable model of excitability
title_sort generic two-variable model of excitability
url http://hdl.handle.net/20.500.12110/paper_15393755_v65_n4_p46231_Ventura
work_keys_str_mv AT venturaac generictwovariablemodelofexcitability
AT mindlingb generictwovariablemodelofexcitability
AT dawsonsp generictwovariablemodelofexcitability
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