1999
DOI: 10.1002/(sici)1096-987x(19990715)20:9<947::aid-jcc6>3.0.co;2-s
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The relationship between peptide plane rotation (PPR) and similar conformations

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Cited by 3 publications
(4 citation statements)
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“…In addition, the 400 c i -f i11 distributions accounting for the statistics in the two dihedral angles between specified adjacent amino acids have also been constructed and are presented. The latter distributions have been seen to contain nontrivial structure and the present results-over the existing larger database-serve to validate prior conclusions (19)(20)(21)(22). The information-theory entropy, S, is defined in terms of the probabilities (or likelihood) of particular pairs of dihedral angles along the protein given its primary structure.…”
Section: Introductionsupporting
confidence: 72%
See 1 more Smart Citation
“…In addition, the 400 c i -f i11 distributions accounting for the statistics in the two dihedral angles between specified adjacent amino acids have also been constructed and are presented. The latter distributions have been seen to contain nontrivial structure and the present results-over the existing larger database-serve to validate prior conclusions (19)(20)(21)(22). The information-theory entropy, S, is defined in terms of the probabilities (or likelihood) of particular pairs of dihedral angles along the protein given its primary structure.…”
Section: Introductionsupporting
confidence: 72%
“…For example, flanking residues are known to affect the probability distribution in the dihedral angles of a given residue (24)(25)(26)(27)(41)(42)(43)(44)(45)(46)(47). As previously suggested, one defines the P Ri;Ri11 ðc i ; f i11 Þ distributions-in which the angles are associated with the sequential residues-to complement the information in the Ramachandran plot (19)(20)(21)(22). Since the c i -f i11 plot accounts for the correlation between two adjacent residues, its use in structure assessment provides a nontrivial sequence-dependent measure of the likelihood that a given pair of residues will be connected by the specified dihedral angles.…”
Section: Methods F I -C I and C I -F I11 Distributionsmentioning
confidence: 99%
“…Our choice for a single-angle representation of the mechanical degrees of freedom of a monomer was motivated by our desire to limit the mathematical complexity, although our methods would apply also if we were to work with the conventional two conformation angles (φ, ψ). In fact, there is evidence [40] to suggest that the conventional two-angle representation is redundant, and that only one newly defined torsion angle is needed per amino-acid to specify a protein's conformation. If we insist on identifying the single-site degrees of freedom in our model with one of the standard conformation angles (φ, ψ), we have to choose the one that matches our statistical assumptions best.…”
Section: Relation Between Model Assumptions and Biological Realitymentioning
confidence: 99%
“…Equations (26,27,34,35) (where we need the eigenfunctions with the largest eigenvalue) together with the supporting expressions (38,39,40,41,42,43,44) constitute a closed set of equations for the RS order parameters {m, k, Φ(x), Ψ(x)} of our model. We now simplify this set further.…”
Section: Simplified Form Of the Theorymentioning
confidence: 99%