The Effect of Variations in Ionic Conductance Values on the Dynamics of a Mathematical Model of Non-Spiking A-Type Horizontal Cells in the Rabbit Retina ()
ABSTRACT
A previous study proposed a mathematical
model of A-type horizontal cells in the rabbit retina. This model, which was
constructed based on the Hodgkin-Huxley model, was described by a system of
nonlinear ordinary differential equations. The model contained five types of
voltage-dependent ionic conductances: sodium, calcium, delayed rectifier
potassium, transient outward potassium, and anomalous rectifier potassium
conductances. The previous study indicated that when the delayed rectifier
potassium conductance had a small value, depolarizing stimulation could change
the dynamic state of the model from a hyperpolarized steady state to a
depolarized steady state. However, how this change was affected by variations
in the ionic conductance values was not clarified in detail in the previous
study. To clarify this issue, in the present study, we performed numerical
simulation analysis of the model and revealed the differences among the five
types of ionic conductances.
Share and Cite:
Shirahata, T. (2016) The Effect of Variations in Ionic Conductance Values on the Dynamics of a Mathematical Model of Non-Spiking A-Type Horizontal Cells in the Rabbit Retina.
Applied Mathematics,
7, 1297-1302. doi:
10.4236/am.2016.712114.