GSHMC: an efficient method for molecular simulation

The hybrid Monte Carlo (HMC) method is a popular and rigorous method for sampling from a canonical ensemble. The HMC method is based on classical molecular dynamics simulations combined with a Metropolis acceptance criterion and a momentum resampling step. While the HMC method completely resamples the momentum after each Monte Carlo step, the generalized hybrid Monte Carlo (GHMC) method can be implemented with a partial momentum refreshment step. This property seems desirable for keeping some of the dynamic information throughout the sampling process similar to stochastic Langevin and Brownian dynamics simulations. It is, however, ultimate to the success of the GHMC method that the rejection rate in the molecular dynamics part is kept at a minimum. Otherwise an undesirable Zitterbewegung in the Monte Carlo samples is observed. In this paper, we describe a method to achieve very low rejection rates by using a modified energy, which is preserved to high-order along molecular dynamics trajectories. The modified energy is based on backward error results for symplectic time-stepping methods. The proposed generalized shadow hybrid Monte Carlo (GSHMC) method is applicable to NVT as well as NPT ensemble simulations.

Molecular insights into aggregates made of amphiphilic Fmoc-tetrapeptides

Pre-assembled aggregates made of Fmoc-conjugated RGDS and GRDS peptides, where Fmoc refers to fluorenylmethoxycarbonyl, have been investigated using atomistic molecular dynamics simulations. The structural characteristics of twelve different models involving two sheets packed with the Fmoc-aligned or with the charged side groups oriented face-to-face, each one containing seven explicit peptide molecules arranged in parallel or antiparallel, have been evaluated for each Fmoc-tetrapeptide. Structural criteria have been used to select the preferred assembly for each Fmoc-tetrapeptide. The two peptides have been found to prefer b-sheet assemblies with a parallel configuration under simulated low concentration conditions. Furthermore, the assembly is dominated by the interactions among Fmoc units. The overall results provide a complete atomistic view of the interactions between Fmoc-peptide molecules comprised within the same sheet or in different sheets that was not achieved experimentally.