where, T is the total simulation time and τ ∈ [0, T ] is the time lag. We calculated the MSD of water as well as glycerol and glucose molecules in the water hydrated Q I membrane which are also shown in Fig 9 . Although we ran the transport simulation for T = 1 µs we only plot the MSD for τ up to T /2 = 500 ns in Fig 9 ; MSD for glycerol and glucose molecules becomes too noisy for meaningful statistics beyond τ > T /2. As we do not know the exact composition of water in the particular size selectivity experiments performed, and the water composition can change depending on the treatment of the membrane, we calculated the MSD for two potentially representative saturated compositions: 17% and 21% water by weight. The lower percentage assumes that water occupies the same volume as glycerol. However, since water can better seep between the gaps in the head groups it can theoretically penetrate a larger volume. We therefore also calculated transport for higher weight percentage of water, setting it to be same as the glycerol weight percentage.