Dynamics and reliability of bistable neurons driven with time-dependent stimuli

Autores
Gonzalo Cogno, Ximena Soledad; Schreiber, Susanne; Samengo, Ines
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The reliability of a spiking neuron depends on the frequency content of the driving input signal. Previous studies have shown that well above threshold, regularly firing neurons generate reliable responses when the input signal resonates with the firing frequency of the cell. Instead, well below threshold, reliable responses are obtained when the input frequency resonates with the subthreshold oscillations of the neuron. Previous theories, however, provide no clear prediction for the input frequency giving rise to maximally reliable spiking at threshold, which is probably the most relevant firing regime in mammalian cortex under physiological conditions. In particular, when the firing onset is governed by a subcritical Hopf bifurcation, the frequency of subthreshold oscillations often differs from the firing rate at threshold. The predictions of previous studies, hence, cannot be smoothly merged at threshold. Here we explore the behavior of reliability in bistable neurons near threshold using three types of driving stimuli: constant, periodic and stochastic. We find that the two natural frequencies of the system, associated to the two coexisting attractors, provide a rich variety of possible locking modes with the external signal. Reliability is determined by the sensitivity to noise of each locking mode, and also by the transition probabilities between modes. Noise increases the amount of spike-time jitter, and minimal jitter is obtained for input frequencies coinciding with the suprathreshold firing rate of the cell. In addition, noise may either enhance or inhibit transitions between the two attractors, depending on the input frequency. The dual role played by noise in bistable systems implies that reliability is determined by a delicate balance between spike-time jitter and the rate of transitions between attractors.
Fil: Gonzalo Cogno, Ximena Soledad. Comisión Nacional de Energía Atomica. Gerencia del _rea de Investigaciones y Aplicaciones No Nucleares. Gerencia de Física (cab). División Física Estadistica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Schreiber, Susanne. Center for Computational Neuroscience, Humboldt Universit ̈at zu Berlin and Bernstein; Alemania
Fil: Samengo, Ines. Comisión Nacional de Energía Atomica. Gerencia del _rea de Investigaciones y Aplicaciones No Nucleares. Gerencia de Física (cab). División Física Estadistica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Reliability
Bistable Neurons
Type Ii Morris Lecar
Dynamical Systems
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/21388

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spelling Dynamics and reliability of bistable neurons driven with time-dependent stimuliGonzalo Cogno, Ximena SoledadSchreiber, SusanneSamengo, InesReliabilityBistable NeuronsType Ii Morris LecarDynamical Systemshttps://purl.org/becyt/ford/1.6https://purl.org/becyt/ford/1The reliability of a spiking neuron depends on the frequency content of the driving input signal. Previous studies have shown that well above threshold, regularly firing neurons generate reliable responses when the input signal resonates with the firing frequency of the cell. Instead, well below threshold, reliable responses are obtained when the input frequency resonates with the subthreshold oscillations of the neuron. Previous theories, however, provide no clear prediction for the input frequency giving rise to maximally reliable spiking at threshold, which is probably the most relevant firing regime in mammalian cortex under physiological conditions. In particular, when the firing onset is governed by a subcritical Hopf bifurcation, the frequency of subthreshold oscillations often differs from the firing rate at threshold. The predictions of previous studies, hence, cannot be smoothly merged at threshold. Here we explore the behavior of reliability in bistable neurons near threshold using three types of driving stimuli: constant, periodic and stochastic. We find that the two natural frequencies of the system, associated to the two coexisting attractors, provide a rich variety of possible locking modes with the external signal. Reliability is determined by the sensitivity to noise of each locking mode, and also by the transition probabilities between modes. Noise increases the amount of spike-time jitter, and minimal jitter is obtained for input frequencies coinciding with the suprathreshold firing rate of the cell. In addition, noise may either enhance or inhibit transitions between the two attractors, depending on the input frequency. The dual role played by noise in bistable systems implies that reliability is determined by a delicate balance between spike-time jitter and the rate of transitions between attractors.Fil: Gonzalo Cogno, Ximena Soledad. Comisión Nacional de Energía Atomica. Gerencia del _rea de Investigaciones y Aplicaciones No Nucleares. Gerencia de Física (cab). División Física Estadistica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Schreiber, Susanne. Center for Computational Neuroscience, Humboldt Universit ̈at zu Berlin and Bernstein; AlemaniaFil: Samengo, Ines. Comisión Nacional de Energía Atomica. Gerencia del _rea de Investigaciones y Aplicaciones No Nucleares. Gerencia de Física (cab). División Física Estadistica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaM I T Press2014-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/21388Gonzalo Cogno, Ximena Soledad; Schreiber, Susanne; Samengo, Ines; Dynamics and reliability of bistable neurons driven with time-dependent stimuli; M I T Press; Neural Computation; 26; 12; 1-12-2014; 2798-28260899-7667CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.mitpressjournals.org/doi/10.1162/NECO_a_00671info:eu-repo/semantics/altIdentifier/doi/10.1162/NECO_a_00671info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:58:07Zoai:ri.conicet.gov.ar:11336/21388instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:58:07.365CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Dynamics and reliability of bistable neurons driven with time-dependent stimuli
title Dynamics and reliability of bistable neurons driven with time-dependent stimuli
spellingShingle Dynamics and reliability of bistable neurons driven with time-dependent stimuli
Gonzalo Cogno, Ximena Soledad
Reliability
Bistable Neurons
Type Ii Morris Lecar
Dynamical Systems
title_short Dynamics and reliability of bistable neurons driven with time-dependent stimuli
title_full Dynamics and reliability of bistable neurons driven with time-dependent stimuli
title_fullStr Dynamics and reliability of bistable neurons driven with time-dependent stimuli
title_full_unstemmed Dynamics and reliability of bistable neurons driven with time-dependent stimuli
title_sort Dynamics and reliability of bistable neurons driven with time-dependent stimuli
dc.creator.none.fl_str_mv Gonzalo Cogno, Ximena Soledad
Schreiber, Susanne
Samengo, Ines
author Gonzalo Cogno, Ximena Soledad
author_facet Gonzalo Cogno, Ximena Soledad
Schreiber, Susanne
Samengo, Ines
author_role author
author2 Schreiber, Susanne
Samengo, Ines
author2_role author
author
dc.subject.none.fl_str_mv Reliability
Bistable Neurons
Type Ii Morris Lecar
Dynamical Systems
topic Reliability
Bistable Neurons
Type Ii Morris Lecar
Dynamical Systems
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.6
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The reliability of a spiking neuron depends on the frequency content of the driving input signal. Previous studies have shown that well above threshold, regularly firing neurons generate reliable responses when the input signal resonates with the firing frequency of the cell. Instead, well below threshold, reliable responses are obtained when the input frequency resonates with the subthreshold oscillations of the neuron. Previous theories, however, provide no clear prediction for the input frequency giving rise to maximally reliable spiking at threshold, which is probably the most relevant firing regime in mammalian cortex under physiological conditions. In particular, when the firing onset is governed by a subcritical Hopf bifurcation, the frequency of subthreshold oscillations often differs from the firing rate at threshold. The predictions of previous studies, hence, cannot be smoothly merged at threshold. Here we explore the behavior of reliability in bistable neurons near threshold using three types of driving stimuli: constant, periodic and stochastic. We find that the two natural frequencies of the system, associated to the two coexisting attractors, provide a rich variety of possible locking modes with the external signal. Reliability is determined by the sensitivity to noise of each locking mode, and also by the transition probabilities between modes. Noise increases the amount of spike-time jitter, and minimal jitter is obtained for input frequencies coinciding with the suprathreshold firing rate of the cell. In addition, noise may either enhance or inhibit transitions between the two attractors, depending on the input frequency. The dual role played by noise in bistable systems implies that reliability is determined by a delicate balance between spike-time jitter and the rate of transitions between attractors.
Fil: Gonzalo Cogno, Ximena Soledad. Comisión Nacional de Energía Atomica. Gerencia del _rea de Investigaciones y Aplicaciones No Nucleares. Gerencia de Física (cab). División Física Estadistica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Schreiber, Susanne. Center for Computational Neuroscience, Humboldt Universit ̈at zu Berlin and Bernstein; Alemania
Fil: Samengo, Ines. Comisión Nacional de Energía Atomica. Gerencia del _rea de Investigaciones y Aplicaciones No Nucleares. Gerencia de Física (cab). División Física Estadistica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description The reliability of a spiking neuron depends on the frequency content of the driving input signal. Previous studies have shown that well above threshold, regularly firing neurons generate reliable responses when the input signal resonates with the firing frequency of the cell. Instead, well below threshold, reliable responses are obtained when the input frequency resonates with the subthreshold oscillations of the neuron. Previous theories, however, provide no clear prediction for the input frequency giving rise to maximally reliable spiking at threshold, which is probably the most relevant firing regime in mammalian cortex under physiological conditions. In particular, when the firing onset is governed by a subcritical Hopf bifurcation, the frequency of subthreshold oscillations often differs from the firing rate at threshold. The predictions of previous studies, hence, cannot be smoothly merged at threshold. Here we explore the behavior of reliability in bistable neurons near threshold using three types of driving stimuli: constant, periodic and stochastic. We find that the two natural frequencies of the system, associated to the two coexisting attractors, provide a rich variety of possible locking modes with the external signal. Reliability is determined by the sensitivity to noise of each locking mode, and also by the transition probabilities between modes. Noise increases the amount of spike-time jitter, and minimal jitter is obtained for input frequencies coinciding with the suprathreshold firing rate of the cell. In addition, noise may either enhance or inhibit transitions between the two attractors, depending on the input frequency. The dual role played by noise in bistable systems implies that reliability is determined by a delicate balance between spike-time jitter and the rate of transitions between attractors.
publishDate 2014
dc.date.none.fl_str_mv 2014-12-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/21388
Gonzalo Cogno, Ximena Soledad; Schreiber, Susanne; Samengo, Ines; Dynamics and reliability of bistable neurons driven with time-dependent stimuli; M I T Press; Neural Computation; 26; 12; 1-12-2014; 2798-2826
0899-7667
CONICET Digital
CONICET
url http://hdl.handle.net/11336/21388
identifier_str_mv Gonzalo Cogno, Ximena Soledad; Schreiber, Susanne; Samengo, Ines; Dynamics and reliability of bistable neurons driven with time-dependent stimuli; M I T Press; Neural Computation; 26; 12; 1-12-2014; 2798-2826
0899-7667
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.mitpressjournals.org/doi/10.1162/NECO_a_00671
info:eu-repo/semantics/altIdentifier/doi/10.1162/NECO_a_00671
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv M I T Press
publisher.none.fl_str_mv M I T Press
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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