Lipid
nanodiscs are small synthetic lipid bilayer structures that
are stabilized in solution by special circumscribing (or scaffolding)
proteins or polymers. Because they create native-like environments
for transmembrane proteins, lipid nanodiscs have become a powerful
tool for structural determination of this class of systems when combined
with cryo-electron microscopy or nuclear magnetic resonance. The elastic
properties of lipid bilayers determine how the lipid environment responds
to membrane protein perturbations, and how the lipid in turn modifies
the conformational state of the embedded protein. However, despite
the abundant use of nanodiscs in determining membrane protein structure,
the elastic material properties of even pure lipid nanodiscs (i.e.,
without embedded proteins) have not yet been quantitatively investigated.
A major hurdle is due to the inherently nonlocal treatment of the
elastic properties of lipid systems implemented by most existing methods,
both experimental and computational. In addition, these methods are
best suited for very large “infinite” size lipidic assemblies,
or ones that contain periodicity, in the case of simulations. We have
previously described a computational analysis of molecular dynamics
simulations designed to overcome these limitations, so it allows quantification
of the bending rigidity (
K
C
) and tilt
modulus (κ
t
) on a local scale even for finite, nonperiodic
systems, such as lipid nanodiscs. Here we use this computational approach
to extract values of
K
C
and κ
t
for a set of lipid nanodisc systems that vary in size and
lipid composition. We find that the material properties of lipid nanodiscs
are different from those of infinite bilayers of corresponding lipid
composition, highlighting the effect of nanodisc confinement. Nanodiscs
tend to show higher stiffness than their corresponding macroscopic
bilayers, and moreover, their material properties vary spatially within
them. For small-size MSP1 nanodiscs, the stiffness decreases radially,
from a value that is larger in their center than the moduli of the
corresponding bilayers by a factor of ∼2–3. The larger
nanodiscs (MSP1E3D1 and MSP2N2) show milder spatial changes of moduli
that are composition dependent and can be maximal in the center or
at some distance from it. These trends in moduli correlate with spatially
varying structural properties, including the area per lipid and the
nanodisc thickness. Finally, as has previously been reported, nanodiscs
tend to show deformations from perfectly flat circular geometries
to varying degrees, depending on size and lipid composition. The modulations
of lipid elastic properties that we find should be carefully considered
when making structural and functional inferences concerning embedded
proteins.