The biological implications of synfire-chain neural networks are explo
red by studying two idealized models. First, a network model with bina
ry firing neurons and parallel updating is proposed. This model can be
solved exactly in the thermodynamic limit using the mean-field theory
. An explicit equation for the capacity is obtained. In the second mod
el, the synchrony of the pulse of activity along a synfire chain is in
vestigated in the context of simple integrate-and-fire neurons. It is
found that under natural assumptions a near-synchronous wave of activi
ty can propagate stably along a synfire chain. The relevance of this r
esult for real systems is discussed.