Fig. 3: Key insights from Simulation 1b.

a Comparison of the Z coordinate of the excess proton (yellow line, \({{{\rm{Z}}}}_{{{{\rm{H}}}}^{+}}\)) with that of the average P-plane in the upper leaflet (green, < ZP > ). b Their difference, depicting the distance of the plane from the proton indicator. c Illustrates the distance of \({{{\rm{H}}}}_{a}^{+}\) from the nearest phosphatic oxygen (OP; shown in blue) and choline hydrogen (HC; shown in green). d Multiple-origin MSD, up to 9 ps. Red and cyan dotted lines depict linear fits to the MSD within the time intervals of 0–4.5 ps and 6–9 ps, respectively. Source data are provided as a Source Data file.