U. S. Schwarz and G. Gompper
Stability of inverse bicontinuous cubic phases in lipid-water mixtures
Phys. Rev. Lett. 85: 1472-1475 (2000)

We investigate the stability of seven inverse bicontinuous cubic
phases ($G$, $D$, $P$, $C(P)$, $S$, $I-WP$, $F-RD$) in lipid-water
mixtures based on a curvature model of membranes. Lipid monolayers are
described by parallel surfaces to triply periodic minimal surfaces.
The phase behavior is determined by the distribution of the Gaussian
curvature on the minimal surface and the porosity of each structure.
Only $G$, $D$ and $P$ are found to be stable, and to coexist along
a triple line.  The calculated phase diagram agrees very well with
experimental results for 2:1 lauric acid/DLPC.