Six types of multistability in a neuronal model based on slow calcium current.

<h4>Background</h4>Multistability of oscillatory and silent regimes is a ubiquitous phenomenon exhibited by excitable systems such as neurons and cardiac cells. Multistability can play functional roles in short-term memory and maintaining posture. It seems to pose an evolutionary advanta...

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Autores principales:	Tatiana Malashchenko, Andrey Shilnikov, Gennady Cymbalyuk
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2011
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/661072eb498b4e8ca4dad73f3de52562
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spelling	oai:doaj.org-article:661072eb498b4e8ca4dad73f3de525622021-11-18T06:49:42ZSix types of multistability in a neuronal model based on slow calcium current.1932-620310.1371/journal.pone.0021782https://doaj.org/article/661072eb498b4e8ca4dad73f3de525622011-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/21814554/?tool=EBIhttps://doaj.org/toc/1932-6203<h4>Background</h4>Multistability of oscillatory and silent regimes is a ubiquitous phenomenon exhibited by excitable systems such as neurons and cardiac cells. Multistability can play functional roles in short-term memory and maintaining posture. It seems to pose an evolutionary advantage for neurons which are part of multifunctional Central Pattern Generators to possess multistability. The mechanisms supporting multistability of bursting regimes are not well understood or classified.<h4>Methodology/principal findings</h4>Our study is focused on determining the bio-physical mechanisms underlying different types of co-existence of the oscillatory and silent regimes observed in a neuronal model. We develop a low-dimensional model typifying the dynamics of a single leech heart interneuron. We carry out a bifurcation analysis of the model and show that it possesses six different types of multistability of dynamical regimes. These types are the co-existence of 1) bursting and silence, 2) tonic spiking and silence, 3) tonic spiking and subthreshold oscillations, 4) bursting and subthreshold oscillations, 5) bursting, subthreshold oscillations and silence, and 6) bursting and tonic spiking. These first five types of multistability occur due to the presence of a separating regime that is either a saddle periodic orbit or a saddle equilibrium. We found that the parameter range wherein multistability is observed is limited by the parameter values at which the separating regimes emerge and terminate.<h4>Conclusions</h4>We developed a neuronal model which exhibits a rich variety of different types of multistability. We described a novel mechanism supporting the bistability of bursting and silence. This neuronal model provides a unique opportunity to study the dynamics of networks with neurons possessing different types of multistability.Tatiana MalashchenkoAndrey ShilnikovGennady CymbalyukPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 6, Iss 7, p e21782 (2011)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Tatiana Malashchenko Andrey Shilnikov Gennady Cymbalyuk Six types of multistability in a neuronal model based on slow calcium current.
description	<h4>Background</h4>Multistability of oscillatory and silent regimes is a ubiquitous phenomenon exhibited by excitable systems such as neurons and cardiac cells. Multistability can play functional roles in short-term memory and maintaining posture. It seems to pose an evolutionary advantage for neurons which are part of multifunctional Central Pattern Generators to possess multistability. The mechanisms supporting multistability of bursting regimes are not well understood or classified.<h4>Methodology/principal findings</h4>Our study is focused on determining the bio-physical mechanisms underlying different types of co-existence of the oscillatory and silent regimes observed in a neuronal model. We develop a low-dimensional model typifying the dynamics of a single leech heart interneuron. We carry out a bifurcation analysis of the model and show that it possesses six different types of multistability of dynamical regimes. These types are the co-existence of 1) bursting and silence, 2) tonic spiking and silence, 3) tonic spiking and subthreshold oscillations, 4) bursting and subthreshold oscillations, 5) bursting, subthreshold oscillations and silence, and 6) bursting and tonic spiking. These first five types of multistability occur due to the presence of a separating regime that is either a saddle periodic orbit or a saddle equilibrium. We found that the parameter range wherein multistability is observed is limited by the parameter values at which the separating regimes emerge and terminate.<h4>Conclusions</h4>We developed a neuronal model which exhibits a rich variety of different types of multistability. We described a novel mechanism supporting the bistability of bursting and silence. This neuronal model provides a unique opportunity to study the dynamics of networks with neurons possessing different types of multistability.
format	article
author	Tatiana Malashchenko Andrey Shilnikov Gennady Cymbalyuk
author_facet	Tatiana Malashchenko Andrey Shilnikov Gennady Cymbalyuk
author_sort	Tatiana Malashchenko
title	Six types of multistability in a neuronal model based on slow calcium current.
title_short	Six types of multistability in a neuronal model based on slow calcium current.
title_full	Six types of multistability in a neuronal model based on slow calcium current.
title_fullStr	Six types of multistability in a neuronal model based on slow calcium current.
title_full_unstemmed	Six types of multistability in a neuronal model based on slow calcium current.
title_sort	six types of multistability in a neuronal model based on slow calcium current.
publisher	Public Library of Science (PLoS)
publishDate	2011
url	https://doaj.org/article/661072eb498b4e8ca4dad73f3de52562
work_keys_str_mv	AT tatianamalashchenko sixtypesofmultistabilityinaneuronalmodelbasedonslowcalciumcurrent AT andreyshilnikov sixtypesofmultistabilityinaneuronalmodelbasedonslowcalciumcurrent AT gennadycymbalyuk sixtypesofmultistabilityinaneuronalmodelbasedonslowcalciumcurrent
_version_	1718424354830680064

Six types of multistability in a neuronal model based on slow calcium current.

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