The size of the receptive field of retinal horizontal cells changes
with the state of dark/light adaptation. We have used a mathematical
model to determine how changes in the membrane conductance affect the
receptive-field properties of horizontal cells. We first modeled the
nonlinear membrane properties of horizontal cells based on ionic current
mechanisms. The dissociated horizontal cell model reproduced the
voltage–current (V–I) relationships for
various extracellular glutamate concentrations measured in
electrophysiological studies. Second, a network horizontal cell model was
also described, and it reproduced the V–I
relationship observed in vivo. The network model showed a
bell-shaped relationship between the receptive-field size and constant
glutamate concentration. The simulated results suggest that the calcium
current is a candidate for the bell-shaped length constant
relationship.