Energy calculations based on lattice models of protein chains are alwa
ys approximate, because any such a model distorts distances between ch
ain links and, consequently, the energies of interaction between them.
The energetic errors of lattice models are examined here for 15 prote
ins of different sizes and types of secondary structure, for lattice s
pacings ranging from 0.25 to 2.5 Angstrom. The lattice models are deri
ved using previously described algorithms which insure a minimal root
mean square (rms) deviation from the off-lattice structure for any giv
en lattice-protein orientation. For each protein structure we computed
a set of different lattice models with virtually equal rms deviations
, and then compared their energies. Energy calculations were based on
the pairwise potentials. We found that the energies of lattice models
follows a normal distribution with a nonnegligible dispersion, even at
a fine lattice spacing of 0.25 Angstrom. For any lattice model of a p
rotein, the lattice spacing must be 1.0 Angstrom or less in order to b
e able to distinguish energetically between the folded and extended st
ates. However, when an ensemble of lattice models is considered, this
distinction can be made for lattice spacing up to 2.0 Angstrom. We con
clude that to attain a better approximation of the protein lattice mod
el energies, one must adjust potentials to the lattice spacing. (C) 19
96 by John Wiley & Sons, Inc.