I. Roterman, MODELING THE OPTIMAL SIMULATION PATH IN THE PEPTIDE-CHAIN FOLDING - STUDIES BASED ON GEOMETRY OF ALANINE HEPTAPEPTIDE, Journal of theoretical biology, 177(3), 1995, pp. 283-288
The theoretical background of a simple model of polypeptide chain stru
cture using two parameters: R (Angstrom) - the radius of curvature for
each pentapeptide chain fragment in the protein, and V (deg) - the di
hedral angle between two consecutive peptide bond planes, is presented
. The mathematical relationship between these two geometrical paramete
rs leads to the optimal searching path for low-energy peptide conforma
tions. This R versus V relation, corresponding to low-energy structure
s in Ramachandran plot, appeared to fit the square function well. Here
, the minimum of this function is taken as the optimal starting point
for the minimization of all second-order conformations in the peptide
chain. The extension, including all structures that satisfy the square
function between V and R, showed the Phi, Psi angles that are optimal
in searching for the path to low-energy structures. The path is an el
lipse connecting the alpha(R)-, beta- and alpha(L)-structures, indicat
ing the possible transitions from one to the next. (C) 1995 Academic P
ress Limited