We consider a memory model with bounded synaptic weights and an asymme
try in the strengthening and weakening of the synapses, and study the
effects of varying the fraction of non-zero initial weights. The cases
of synapses connected extremely dilutely and fully are both considere
d. Novel phenomena such as initial depression, initial lapse, medial d
epression and medial lapse are reported. The relevance of this work to
biology and the modelling of short-term memory is also discussed.