Generic two-variable model of excitability

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...

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Autores principales: Ventura, A.C., Mindlin, G.B., Dawson, S.P.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1063651X_v65_n4_p7_Ventura
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spelling todo:paper_1063651X_v65_n4_p7_Ventura2023-10-03T16:01:39Z Generic two-variable model of excitability Ventura, A.C. Mindlin, G.B. Dawson, S.P. 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. © 2002 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1063651X_v65_n4_p7_Ventura
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
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. © 2002 The American Physical Society.
format JOUR
author Ventura, A.C.
Mindlin, G.B.
Dawson, S.P.
spellingShingle Ventura, A.C.
Mindlin, G.B.
Dawson, S.P.
Generic two-variable model of excitability
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_1063651X_v65_n4_p7_Ventura
work_keys_str_mv AT venturaac generictwovariablemodelofexcitability
AT mindlingb generictwovariablemodelofexcitability
AT dawsonsp generictwovariablemodelofexcitability
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