Modelling intrinsic electrophysiological properties of ON and OFF retinal ganglion cells

ON and OFF retinal ganglion cells (RGCs) display differences in their intrinsic electrophysiology: OFF cells maintain spontaneous activity in the absence of any input, exhibit subthreshold membrane potential oscillations, rebound excitation and burst firing; ON cells require excitatory input to drive their activity and display none of the aforementioned phenomena. The goal of this study was to identify and characterize ionic currents that explain these intrinsic electrophysiological differences between ON and OFF RGCs. A mathematical model of the electrophysiological properties of ON and OFF RGCs was constructed and validated using published patch-clamp data from isolated intact mouse retina. The model incorporates three ionic currents hypothesized to play a role in generating behaviors that are different between ON and OFF RGCs. These currents are persistent Na⁺, I _NaP, hyperpolarization-activated, I _h, and low voltage activated Ca^2 +, I _T, currents. Using computer simulations of Hodgkin-Huxley type neuron with a single compartment model we found two distinct sets of I _NaP, I _h, I _T conductances that correspond to ON and OFF RGCs populations. Simulations indicated that special properties of I _T explain the differences in intrinsic electrophysiology between ON and OFF RGCs examined here. The modelling shows that the maximum conductance of I _T is higher in OFF than in ON cells, in agreement with recent experimental data.