Volume 13 Supplement 1

Twenty First Annual Computational Neuroscience Meeting: CNS*2012

Open Access

Homeostatic regulation in a single neuron model from the Pre-Bötzinger Complex

  • Max F Oginsky1 and
  • Gennady S Cymbalyuk2
BMC Neuroscience201213(Suppl 1):P158

DOI: 10.1186/1471-2202-13-S1-P158

Published: 16 July 2012

Central Pattern Generators (CPGs) control rhythmic movements in diverse species ranging from decapods to mammals. For the same CPG, from preparation to preparation, the intrinsic membrane properties of CPG neurons are highly disparate and modulated, however the network output remains constant. This leads to questions regarding the coregulation of currents preserving essential dynamics of a neuron. When the fast-transient potassium current, IA, is increased in the pyloric dilator neuron of the stomatogastric ganglion, there is a compensatory increase in the hyperpolarization-activated current, IH[1]. This prevents changes in the output of this well-studied CPG. Here, we test whether this coregulation would be effective if applied to the dynamics of another well-studied CPG found in mammals that controls breathing. We hypothesized that when the maximal conductance, A , of IA was increased there would be an increase in the period and interburst interval (IBI) and subsequently increasing the maximal conductance, H , of IH would provide a matching compensatory decrease. To investigate this, we modified a single neuron model of the pre-Bötzinger complex [2] by adding IA [3] and IH [4]. We investigated this model by systematically exploring properties of the ionic currents.

First, we increased A from 0 to 51nS. This increased the period and IBI from 1.78s to 40.12s and 1.37s to 39.35s, respectively (Fig. 1, blue curve). At the same time, the spike frequency and spike number increased from 10.29 to 60.72Hz and 5.00 to 38.35 spikes, respectively. Then we subsequently increased H from 0nS to 69nS. The period and IBI was decreased from 40.12s to 2.02s and 39.35 to 1.64s, respectively (Fig. 1, red curve). The spike frequency and spike number decreased from 60.72 to 13.93Hz and 36.50 to 2.74 spikes, respectively. In Figure 1 we presented the data for the IBIs. To place the graphs on the same scale we normalized the parameter values by the maximum values used in the study. The blue and red curves look similar, except A graph grows and H graph decays. To further evaluate how well the two dependences are matched, we plotted the IBI dependence on https://static-content.springer.com/image/art%3A10.1186%2F1471-2202-13-S1-P158/MediaObjects/12868_2012_Article_2695_IEq1_HTML.gif as the green curve. One could see that the green and blue curves are well matched.
Figure 1

Dependence of interburst interval on A (blue) and A (red). Conductances were normalized to their maxima, max( A ) and max ( H ). Green curve represents the IBI dependence on https://static-content.springer.com/image/art%3A10.1186%2F1471-2202-13-S1-P158/MediaObjects/12868_2012_Article_2695_IEq1_HTML.gif .

This model shows that increasing IH opposes the effects of increasing IA in period, IBI, frequency and spike number. This may be a common mechanism for regulating rhythmic patterns in CPGs.



This research was supported by NSF grant PHY-0750456 to GC.

Authors’ Affiliations

Department of Biology, Georgia State University
Neuroscience Institute, Georgia State University


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© Oginsky and Cymbalyuk; licensee BioMed Central Ltd. 2012

This article is published under license to 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.