Off-lattice proteinlike models are constructed in two dimensions so that th
eir native states are close to an on-lattice target. The Hamiltonian involv
es the Lennard-Jones and harmonic interactions. The native states of these
sequences are determined with a high degree of certainty through Monte Carl
o processes. The sequences are characterized thermodynamically and kinetica
lly. It is shown that the rank-ordering-based scheme of the assignment of c
ontact energies typically fails in off-lattice models even though it genera
tes high stability of on-lattice sequences. Similar to the on-lattice case,
Go-like modeling, in which the interaction potentials are restricted to th
e native contacts in a target shape, gives rise to good folding properties.
Involving other contacts deteriorates these properties. [S1063-651X(99)053
01-5].