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Author Notes:

Correspondence : * E-mail Gennady S. Cymbalyuk gcymbalyuk@gsu.edu

The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.


Research Funding:

BM is supported by the Brazilian agency FAPESP (http://www.fapesp.br/en/).

GSC and WHB are supported by NSF grant PHY-0750456.

ADM and RLC are supported by NIH grant NS024072.

The project was also supported by the Brains and Behavior program at GSU.


  • neuronal circuits
  • half-center oscillators

High Prevalence of Multistability of Rest States and Bursting in a Database of a Model Neuron


Journal Title:

PLoS Computational Biology


Volume 9, Number 3


, Pages e1002930-e1002930

Type of Work:

Article | Final Publisher PDF


Flexibility in neuronal circuits has its roots in the dynamical richness of their neurons. Depending on their membrane properties single neurons can produce a plethora of activity regimes including silence, spiking and bursting. What is less appreciated is that these regimes can coexist with each other so that a transient stimulus can cause persistent change in the activity of a given neuron. Such multistability of the neuronal dynamics has been shown in a variety of neurons under different modulatory conditions. It can play either a functional role or present a substrate for dynamical diseases. We considered a database of an isolated leech heart interneuron model that can display silent, tonic spiking and bursting regimes. We analyzed only the cases of endogenous bursters producing functional half-center oscillators (HCOs). Using a one parameter (the leak conductance (An external file that holds a picture, illustration, etc. Object name is pcbi.1002930.e001.jpg)) bifurcation analysis, we extended the database to include silent regimes (stationary states) and systematically classified cases for the coexistence of silent and bursting regimes. We showed that different cases could exhibit two stable depolarized stationary states and two hyperpolarized stationary states in addition to various spiking and bursting regimes. We analyzed all cases of endogenous bursters and found that 18% of the cases were multistable, exhibiting coexistences of stationary states and bursting. Moreover, 91% of the cases exhibited multistability in some range of An external file that holds a picture, illustration, etc. Object name is pcbi.1002930.e002.jpg. We also explored HCOs built of multistable neuron cases with coexisting stationary states and a bursting regime. In 96% of cases analyzed, the HCOs resumed normal alternating bursting after one of the neurons was reset to a stationary state, proving themselves robust against this perturbation.

Copyright information:

© 2013 Marin et al

This is an Open Access work distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/).
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