High computational requirements in realistic neuronal network simulati
ons have led to attempts to realize implementation efficiencies while
maintaining as much realism as possible. Since the number of synapses
in a network will generally far exceed the number of neurons, simulati
on of synaptic activation may be a large proportion of total processin
g time. We present a consolidating algorithm based on a recent biophys
ically-inspired simplified Markov model of the synapse. Use of a singl
e lumped state variable to represent a large number of converging syna
ptic inputs results in substantial speed-ups.