This model is similar to the two branch network but now N branches are incorporated where the first branch has 0 relays, the second branch 1 relay, ... , and the N th branch has N -1 relays. The same distances are used as before. All relay spacings are equidistant. The source is assigned 1.0M initial concentration, all other species zero. All relays are placed at common 0.0V, the same potential as the junction. As a twist, terminal species A (in the first branch) is placed at lower potential -0.25V to the three other terminal species each at -0.20V; in this way, one could envision the hopping advantage gained in passing through more relays cancelled by the stronger driving force through the zero-relay branch. See Figures and.