Information on Normal Mode Langevin.
This website illustrates the Normal-Mode-Partitioned Langevin dynamics
integrator called NML.
The aim of NML is to approximate the kinetics or
thermodynamics of a biomolecule by a reduced model based on a normal mode
decomposition of the dynamical space. Our basis set uses the eigenvectors
of a mass re-weighted Hessian matrix calculated with a biomolecular force
field. Low frequency eigenvalues correspond to more collective
motions, whereas the highest frequency eigenvalues are the limiting
factor for the stability of the integrator. The higher frequency modes
are overdamped and relaxed near to their energy minimum while respecting
the subspace of low frequency dynamical modes. Numerical results confirm
that both sampling and rates are conserved for an implicitly solvated
alanine dipeptide model, with only 30% of the modes propagated, when
compared to the full model. For implicitly solvated systems the method
can be shown to give improvements in efficiency more than 2 times even for
sampling a small 22 atom (alanine dipeptide) model and in excess of an
order of magnitude for sampling an 882 atom (bovine pancreatic trypsin
inhibitor, or BPTI) model, with good scaling with system
size subject to the number of modes propagated. This is illustrated in
the graph below showing 'speedup' (the ratio of the highest frequency
in the system to the highest frequency in the set of modes):
This website allows the user to explore the NML integrator using two
molecular models; alanine dipeptide and BPTI. By selecting
the modes of interest it is possible to see the effects of the coarse
graining, either using the analytical solution of the discreet quadratic
solution or molecular dynamics in the subspace spanned by the modes.
NML has been implemented in the open source software
ProtoMol.
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