bowls have positive and saddles have negative Gaussian curvature. Therefore, if the diffusion only depended on the Gaussian curvature, one would expect similar tendencies in both upper and lower leaflets. This is clearly not the case, as the lower leaflet seems to follow the theoretical prediction presented above. Consequently, the theoretically predicted role of Gaussian curvature is not the only factor determining surface diffusion in molecular systems, mean curvature also must play an important role. What is more, in our "Budded" system the absolute magnitude of Gaussian and mean curvatures positively correlate, while the mean curvature also encodes the orientation of the lipids. Thus, the mean curvature seems sufficient to explain the behavior observed in our simulations. Joined with the headgroup densities, the arising picture nicely follows that of the "Wave" system possessing only mean curvature. This line of reasoning is further supported by Fig. containing the correlations of the variables of interest (H, K, gMSD and lipid headgroup densitites).