Fig. 3. 3D data space showing the dependence of log(D_bulk/D_m,sim) as a function of L, δ, and d.

The ranges of the variables L, δ, and d are set as to 8 to 1000, 0.5 to 12, and 1 to 20 nm, respectively. The competing role of L and δ, specifically the increase in L and the decrease in δ, enhance the barrier properties of the LGG membrane as reflected by an increase in log(D_bulk/D_m,sim). When the variables L and δ are close in value, D_m,sim experiences a sharp increase, and such an increase is more pronounced as d is reduced.