NBFIX calibration using model compounds. (A) To perform NBFIX calibration,
complex biological molecules are represented by simpler model compounds. The
compounds are chosen to isolate a specific type of inter-solute interactions,
which can be modulated by the NBFIX correction. The figure shows a possible
decomposition of three representative biomolecules—a nucleic acid
fragment, a lipid molecule and a peptide. Molecular structures are shown using
the ball-and-stick representation where each atom is colored according to its
type: hydrogen, white; carbon, gray; nitrogen, blue; oxygen, red; phosphorus,
yellow. (B,C) Calibration of amine–carboxylate interactions using the
osmotic pressure of a glycine solution. The simulated system includes a volume
of water (blue semi-transparent surface) divided into two compartments by two
planar half-harmonic potentials (depicted by dashed lines). Glycine monomers
(shown as spheres colored by atom: carbon, cyan; hydrogen, white; oxygen, red;
nitrogen, blue) are confined to remain within one compartment by the
half-harmonic potentials while water can exchange between the compartments
freely. The difference in the glycine concentration between the two compartments
generates osmotic pressure. The equilibrium osmotic pressure value is determined
from the average force exerted by the confining potentials on the glycine
molecules and the cross-section area of the system. Panels B and C illustrate
instantaneous configurations of a 3 m glycine solution observed at the end of
two 25 ns simulations performed using the standard CHARMM36 force field without
(B) and with (C) the NBFIX correction. (D) Osmotic pressure of a glycine
solution as a function of its concentration obtained from MD simulations
performed using the CHARMM force field with (blue) and without (red) the NBFIX
corrections. Experimentally determined72 and ideal solution (osmotic coefficient = 1)
dependences are shown as solid and dashed black lines, respectively. (E) The
effect of an NBFIX correction (ΔRmin
= 0.08 Å) on the LJ interaction potential between amine nitrogen
and carboxylate oxygen. The LJ potentials are plotted using the standard CHARMM
force field with (blue) and without (red) the NBFIX correction. The difference
between the NBFIX and standard potentials is shown as a black line. (F)
Inter-molecular radial distribution function (RDF) of glycine nitrogen with
respect to glycine oxygen in MD simulations of a ∼3 m glycine solution
at several values of ΔRmin. Error bars
indicate standard error. The value of ΔRmin
affects the height of the first peak, g1. (G)
Correlation between ΔRmin and
ΔF =
−kBTlog(g1).
Dashed line indicates a linear fit. Figures in panels B–D were adapted
with permission from Ref. 41.