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This article is part of the supplement: Twenty First Annual Computational Neuroscience Meeting: CNS*2012

Open Access Poster presentation

Inverse stochastic resonance induced by ion channel noise

Muhammet Uzuntarla1, John R Cressman2, Mahmut Ozer3 and Ernest Barreto2*

Author Affiliations

1 Departments of Biomedical Engineering, University of Karaelmas, 67100 Zonguldak, Turkey

2 School of Physics, Astronomy, and Computational Sciences, and The Krasnow Institute for Advanced Study, George Mason University, Fairfax, VA 22030, USA

3 Department of Electrical and Electronics Engineering, University of Karaelmas, 67100 Zonguldak, Turkey

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BMC Neuroscience 2012, 13(Suppl 1):P181  doi:10.1186/1471-2202-13-S1-P181

The electronic version of this article is the complete one and can be found online at: http://www.biomedcentral.com/1471-2202/13/S1/P181


Published:16 July 2012

© 2012 Uzuntarla et al; licensee BioMed Central Ltd.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Poster presentation

Recent work has considered the inhibitory effects of noise on neuronal activity, particularly on rhythmic firing. For example, Paydarfar et al. [1] studied the influence of noise on neuronal pacemakers in an in vitro preparation of the squid giant axon, and found that small noisy currents induce an on-off switching behavior between two nearby regimes: repetitive firing and quiescence. They also showed that the timings of on-off switching of the pacemaker depend on the intensity and spectral properties of noisy current. Tuckwell et al. [2,3] further investigated the inhibitory effect of noise in a single Hodgkin-Huxley neuron. These authors show that in a model neuron subject to stochastic external additive noise, the average firing rate exhibits a minimum as the noise amplitude is varied. The authors called this phenomenon Inverse Stochastic Resonance (ISR), in contrast to the well-known phenomenon of stochastic resonance.

In these modelling studies [2,3], noise was incorporated by adding an external noisy current. Here, we consider the ISR phenomenon in the Hodgkin-Huxley neuron with a more biophysically realistic model of noise: that resulting from the stochastic nature of voltage-gated ion channels embedded in neuronal membranes. The intensity of channel noise is related to the total number of channels for fixed channel density, i.e. when the number of ion channels (or the cell size) is small, the stochasticity of channels imparts strong noise intensity to the neuron’s dynamics. Our results show that the ISR phenomenon is also present in the case of ion channel noise. We clarify the mechanism that underlies ISR and show that the most surprising feature – the increase in average firing rate as the noise decreases (membrane area increases) – is a consequence of the dynamical structure of the model and the averaging procedure (Figure 1). We also discuss the relative contributions of the different channel subunits to transitions from the spiking to the rest state, and vice versa, in the noisy case.

thumbnailFigure 1. (A) Inverse stochastic resonance: average firing rate versus membrane area for different values of constant input current I0. Effective channel noise intensity is smaller for larger membrane area. Right: sample traces from random initial conditions used in calculating (A), drawn from (B) area=750μm2 and (C) area=30000μμm2, with I0=6.8 μμcm-2.

References

  1. Paydarfar D, Forger DB, Clay JR: Noisy inputs and the induction of on–off switching behavior in a neuronal pacemaker.

    J Neurophysiol 2006, 96:3338-3348. PubMed Abstract | Publisher Full Text OpenURL

  2. Tuckwell HC, Jost J, Gutkin BS: Inhibition and modulation of rhythmic neuronal spiking by noise.

    Phys Rev Lett 2009, 80:031907-8. OpenURL

  3. Tuckwell HC, Jost J: Weak noise in neurons may powerfully inhibit the generation of repetitive spiking but not its propagation.

    Plos Comput Biol 1000, 6:e794-13. OpenURL