Before revision:  We first show that such networkscan exhibit a balanced state of irregular , asynchronous spiking activity, if the neurons with negative dissipation are endowed with a voltage-dependent input cutoff, which may be interpreted as a simple conductance-based implementation of their synapses. We compute the voltage probability distributions and self-consistent firing rates for both types of neurons for finite size spike impacts assuming that inputs are Poissonian.
After revision:  We first show that such networkscan exhibit a balanced state of irregular asynchronous spiking as well. We determine the voltage probability distributions and self-consistent firing rates for both types of neurons for finite size spike impacts assuming that inputs are Poissonian.