(A) Ball-and-stick representation
of the Monoolein (9.9 MAG) lipid.
Oxygen atoms are shown in red, carbon atoms are in cyan. Double bonded
carbon atoms (C9 and C10) in the hydrocarbon chain of 9.9 MAG are
highlighted. Hydrogens are omitted. The grouping of atoms in Martini
coarse-grained beads (ETH, GL1, C1A, C2A, D3A, C4A, and C5A) is highlighted
by ellipsoids. (B, C) Comparison of the triply periodic minimal surface
(TPMS) of Pn3m symmetry calculated from the improved
nodal approximation given in eqs 1–3 (B), to a snapshot after 6 μs-long coarse-grained
MD simulations of spontaneous self-assembly of 9.9 MAG/water complex
at 40% (w/w) water concentration and at 20 °C temperature (C).
The figure in C (see also Figures 2 and 3) shows the location of the C5A coarse-grained beads
from the 9.9 MAG lipid (see A); note the cubic phase structure. The
similarity evident in B and C underscores the close relation between
the organization of the C5A beads (representing the density of terminal
methylene and methyl groups in 9.9 MAG lipids) and the TPMS of the Pn3m cubic phase.