In this paper we propose a novel integrate-and-fire(IF)neuron model with exponential synaptic conductances that can be simulated exactly.The postsynaptic potentials and spontaneous discharge statistics of the new model are compared with those of commonly used models

such as the leaky IF model with instantaneous synaptic interactions or the passive membrane equation(PME)model with exponential synaptic conductances in which conductances are explicitly integrated.The proposed model is much closer to the PME model with respect to the spiking response dynamics

while still being nearly as computationally efficient as simple leaky IF model.Then we present an event-driven simulation strategy for the new model.Using event-driven and clock-driven simulation strategies we simulate random network with dynamic synapses

the results indicate that(1)the simulation time scales linearly with the total number of spiking events in the event-driven simulation strategies and(2)the temporal precision of spiking events impacts on neuronal dynamics of network in the different simulation strategies.