Acta Biologica Hungarica
Volume/Issue:
Volume 63: Issue 3
Analysis of the electrosensory pyramidal cell bursting model for weakly electric fish: Model prediction under low levels of dendritic potassium conductance
Author: T. Shirahata 1
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  • 1 Tokushima Bunri University Laboratory of Pharmaceutics, Kagawa School of Pharmaceutical Sciences 1314-1, Shido, Sanuki Kagawa 769-2193 Japan
DOI:
https://doi.org/10.1556/abiol.63.2012.3.1
Page Count:
313–320
Publication Date:
01 Sep 2012
Online Publication Date:
10 Sep 2012
Article Category:
Research Article
Restricted access

Pyramidal cells in the electrosensory lateral line lobe (ELL) of weakly electric fish produce burst discharge. A Hodgkin-Huxley-type model, called ghostburster, consisting of two compartments (soma and dendrite) reproduces ELL pyramidal cell bursting observed in vitro. A previous study analyzed the ghostburster by treating Is and gDr,d as bifurcation parameters (Is: current injected into the somatic compartment and gDr,d: maximal conductance of the delayed rectifying potassium current in the dendritic compartment) and indicated that when both Is and gDr,d are set at particular values, the ghostburster shows a codimension-two bifurcation at which both saddle-node bifurcation of fixed points and saddle-node bifurcation of limit cycles occur simultaneously. In the present study, the ghostburster was investigated to clarify the bursting that occurred at gDr,d values smaller than that at the codimension-two bifurcation. Based on the number of spikes per burst, various burst patterns were observed depending on the (Is, gDr,d) values. Depending on the (Is, gDr,d) values, the burst trajectory in a phase space of the ghostburster showed either a high or a low degree of periodicity. Compared to the previous study, the present findings contribute to a more detailed understanding of ghostburster bursting.

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Cover Acta Biologica Hungarica
Acta Biologica Hungarica
Print ISSN:
0236-5383
Online ISSN:
1588-256X
Keywords:
Weakly electric fish; ghostburster; codimension-two bifurcation; delayed rectifying potassium conductance; number of spikes per burst

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