Analysis of the electrosensory pyramidal cell bursting model for weakly electric fish: Model prediction under low levels of dendritic potassium conductance

Shirahata, T. (2012) Analysis of the electrosensory pyramidal cell bursting model for weakly electric fish: Model prediction under low levels of dendritic potassium conductance. Acta Biologica Hungarica, 63 (3). pp. 313-320. ISSN 0236-5383

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Abstract

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 I_s and g_Dr,d as bifurcation parameters (I_s: current injected into the somatic compartment and g_Dr,d: maximal conductance of the delayed rectifying potassium current in the dendritic compartment) and indicated that when both I_s and g_Dr,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 g_Dr,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 (I_s, g_Dr,d) values. Depending on the (I_s, g_Dr,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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