Radius of the elastic rod model of a polyelectrolyte

Rational design of anticonvulsants: a quantum pharmacologic study of the ion channel-modulating FMRFamide tetrapeptide as an endogenous anticonvulsant

We applied the computational techniques of quantum pharmacology to examine molecular conformations (shapes and geometries) of the tetrapeptide FMR-Famide (L-Phe-L-Met-L-Arg-L-Phe-NH2), determining the geometric features necessary for anticonvulsant activity. The rigorous tiered hierarchical approach used molecular mechanics, molecular dynamics, and semiempirical quantum mechanics calculational methods. Low-energy conformations showed pertinent conformational information to be considered in the rational design of novel anticonvulsants. The FMRFamide peptide backbone assumes a bent but primary planar geometry. Distinct polar and nonpolar regions are created as the two Phe residues occupy one "face" of the bent conformation, while the Met and Arg residues occupy the opposite face. The aromatic rings point away from each other along the backbone, and this separation is consistent among the low-energy conformations at approximately 11-12 A. The Met side chain interacts with neither the peptide backbone nor the side chains of other residues. Molecular mechanics and semiempirical quantum mechanics calculations predict limited variation in the orientation of the Arg side chain.

Self-attraction and natural curvature in null DNA

Forces of self-attraction inherent in DNA are unmasked when its ionic charge is neutralized. On the global level, self-attraction operates between segments to condense null (charge-neutralized) DNA into a segment-rich particle. Locally, self-attraction tends to contract an individual segment along its axis. If certain conditions are satisfied, the compressed segment buckles outward from the original line of the axis. Its most stable shape is then curved, or, as an extreme case, even completely folded. Buckling conditions are derived and shown to be met by DNA, thus explaining the high degree of ordered curvature and folding in the observed morphologies of condensed null DNA. The central concept employed is the buckling persistence length. It is evaluated for null DNA (40-50 bp) and agrees with experimental data (less than 60 bp). It helps in understanding the observed cooperative unit in the condensation/decondensation equilibrium (about 60 bp) and the observed size of digestion fragments unstable in the condensed phase (about 80 bp). The root-mean-square thermal compression/extension fluctuation in DNA is estimated at about 0.1 A/bp.