Acta Biologica Hungarica

, Volume 63, Issue 3, pp 313–320 | Cite as

Analysis of the Electrosensory Pyramidal Cell Bursting Model for Weakly Electric Fish: Model Prediction under Low Levels of Dendritic Potassium Conductance

  • T. ShirahataEmail author


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 ghost-burster by treating Is and gDr,d as bifurcation parameters (Is: current injected into the somatic compartment and ggDr,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.


Weakly electric fish ghostburster codimension-two bifurcation delayed rectifying potassium conductance number of spikes per burst 


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© Akadémiai Kiadó, Budapest 2012

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Laboratory of Pharmaceutics, Kagawa School of Pharmaceutical SciencesTokushima Bunri UniversitySanuki, KagawaJapan

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