The periodic Saffman-Delbrück (PSD) model, an extension of the Saffman-Delbrück model developed to describe the effects of periodic boundary conditions on the diffusion constants of lipids and proteins obtained from simulation, is tested using the coarse-grained Martini and all-atom CHARMM36 (C36) force fields. Simulations of pure Martini dipalmitoylphosphatidylcholine (DPPC) bilayers and those with one embedded gramicidin A (gA) dimer or one gA monomer with sizes ranging from 512 to 2048 lipids support the PSD model. Underestimates of D (the value of the diffusion constant for an infinite system) from the 512-lipid system are 35% for DPPC, 45% for the gA monomer, and 70% for the gA dimer. Simulations of all-atom DPPC and dioleoylphosphatidylcholine (DOPC) bilayers yield diffusion constants not far from experiment. However, the PSD model predicts that diffusion constants at the sizes of the simulation should underestimate experiment by approximately a factor of 3 for DPPC and 2 for DOPC. This likely implies a deficiency in the C36 force field. A Bayesian method for extrapolating diffusion constants of lipids and proteins in membranes obtained from simulation to infinite system size is provided.
While
antimicrobial peptides (AMPs) have been widely investigated
as potential therapeutics, high-resolution structures obtained under
biologically relevant conditions are lacking. Here, the high-resolution
structures of the homologous 22-residue long AMPs piscidin 1 (p1)
and piscidin 3 (p3) are determined in fluid-phase 3:1 phosphatidylcholine/phosphatidylglycerol
(PC/PG) and 1:1 phosphatidylethanolamine/phosphatidylglycerol (PE/PG)
bilayers to identify molecular features important for membrane destabilization
in bacterial cell membrane mimics. Structural refinement of 1H–15N dipolar couplings and 15N chemical
shifts measured by oriented sample solid-state NMR and all-atom molecular
dynamics (MD) simulations provide structural and orientational information
of high precision and accuracy about these interfacially bound α-helical
peptides. The tilt of the helical axis, τ, is between 83°
and 93° with respect to the bilayer normal for all systems and
analysis methods. The average azimuthal rotation, ρ, is 235°,
which results in burial of hydrophobic residues in the bilayer. The
refined NMR and MD structures reveal a slight kink at G13 that delineates
two helical segments characterized by a small difference in their
τ angles (<10°) and significant difference in their
ρ angles (∼25°). Remarkably, the kink, at the end
of a G(X)4G motif highly conserved among members of the
piscidin family, allows p1 and p3 to adopt ρ angles that maximize
their hydrophobic moments. Two structural features differentiate the
more potent p1 from p3: p1 has a larger ρ angle and less N-terminal
fraying. The peptides have comparable depths of insertion in PC/PG,
but p3 is 1.2 Å more deeply inserted than p1 in PE/PG. In contrast
to the ideal α-helical structures typically assumed in mechanistic
models of AMPs, p1 and p3 adopt disrupted α-helical backbones
that correct for differences in the amphipathicity of their N- and
C-ends, and their centers of mass lie ∼1.2–3.6 Å
below the plane defined by the C2 atoms of the lipid acyl chains.
Piscidins are histidine-enriched antimicrobial peptides that interact with lipid bilayers as amphipathic α-helices. Their activity at acidic and basic pH in vivo makes them promising templates for biomedical applications. This study focuses on p1 and p3, both 22-residue-long piscidins with 68% sequence identity. They share three histidines (H3, H4 and H11) but p1, which is significantly more permeabilizing, has a fourth histidine (H17). This study investigates how variations in amphipathic character associated with histidines affect the permeabilization properties of p1 and p3. First, we show that the permeabilization ability of p3, but not p1, is strongly inhibited at pH 6.0 when the conserved histidines are partially charged and H17 is
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