We model the evolution of simple lattice proteins as a random walk in
a fitness landscape, where the fitness represents the ability of the p
rotein to fold. At higher selective pressure, the evolutionary traject
ories are confined to neutral networks where the native structure is c
onserved and the dynamics are non self-averaging and nonexponential. T
he optimizability of the corresponding native structure has a strong e
ffect on the size of these neutral networks and thus on the nature of
the evolutionary process. (C) 1997 Wiley-Liss, Inc.