We design sequences of 80-monomer model protein which provide very low
energy in the target (''native'') structure. Then the designed sequen
ce is subjected to lattice Monte Carlo simulation of folding. In all r
uns model protein folded from random coil to the unique native conform
ation, effectively ''solving'' the multiple minima problem. These resu
lts suggest that thermodynamically oriented selection of sequences whi
ch makes the native conformation a pronounced deep minimum of energy s
olves the problem of kinetic accessibility of this conformation as wel
l.