TITLE:
The Effect of Variations in Ionic Conductance Values on the Suppression of Repetitive Spiking in a Mathematical Model of Type-A Medial Vestibular Nucleus Neurons
AUTHORS:
Takaaki Shirahata
KEYWORDS:
Mathematical Model, Numerical Simulation, Type-A Medial Vestibular Nucleus Neurons, Ionic Conductance
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.10,
June
24,
2016
ABSTRACT: A previous study has proposed a
mathematical model of type-A medial vestibular nucleus neurons (mVNn). This
model is described by a system of nonlinear ordinary differential equations,
which is based on the Hodgkin-Huxley formalism. The type-A mVNn model contains
several ionic conductances, such as the sodium conductance, calcium
conductance, delayed-rectifier potassium conductance, transient potassium
conductance, and calcium-dependent potassium conductance. The previous study
revealed that spontaneous repetitive spiking in the type-A mVNn model can be
suppressed by hyperpolarizing stimulation. However, how this suppression is
affected by the ionic conductances has not been clarified in the previous
study. The present study performed numerical simulation analysis of the type-A
mVNn model to clarify how variations in the different ionic conductance values
affect the suppression of repetitive spiking. The present study revealed that
the threshold for the transition from a repetitive spiking state to a quiescent
state is differentially sensitive to variations in the ionic conductances among
the different types of ionic conductance.