A note on stochastic modeling of shunting inhibition

Stochastic modeling of a neuron with a shunting inhibition is considered. The shunting inhibition divides a neuron potential, and in this case, the neuron has a state-dependent noise. The effect of this state-dependency is discussed by means of a comparison with a subtractive inhibition which was treated in a previous paper. Attention is focused on the firing statistics of both inhibitions described by the first passage time of a neuron potential. These statistics differ depending on the reset value of the potential. This is due to the fact that the shunting inhibition is effective when the potential is close to a threshold. Numerical examples illustrating this effect are given.