We consider the intrinsic entropy and energy barriers of cross-linking
in a set of M monomers, plus minimal kinetic restrictions on the fold
ing process of a proteinlike molecule. For a finite-size chain, there
is an effective folding transition to an ordered structure. Without fr
ustration, this state is reached in a time that scales as M(lambda). w
ith lambda similar or equal to 3. This scaling is limited by the amoun
t of frustration which leads to the dynamical selectivity of proteins
in a well defined range of temperatures, and M less than or similar to
300 monomers. These predictions resemble generic properties of in liv
e globular proteins.