Thermodynamic view of activation energies of proton transfer in various gramicidin A channels

The temperature dependencies (range: 5-45degreesC) of single-channel proton conductances (g(H)) in native gramicidin A (gA) and in two diastereoisomers (SS and RR) of the dioxolane-linked gA channels were measured in glycerylmonooleate/decane (GMO) and diphytanoylphosphatidylcholine/decane (DiPhPC) bilayers. Linear Arrhenius plots (In (g(H)) versus K-1) were obtained for the native gA and RR channels in both types of bilayers, and for the SS channel in GMO bilayers only. The Arrhenius plot for proton transfer in the SS channel in DiPhPC bilayers had a break in linearity around 20degreesC. This break seems to occur only when protons are the permeating cations in the SS channel. The activation energies (E-a) for proton transfer in various gA channels (similar to15 kJ/mol) are consistent with the rate-limiting step being in the channel and/or at the membrane-channel/solution interface, and not in bulk solution. E-a values for proton transfer in gA channels are considerably smaller than for the permeation of nonproton currents in gA as well as in various other ion channels. The E-a values for proton transfer in native gA channels are nearly the same in both GMO and DiPhPC bilayers. In contrast, for the dioxolane linked gA dimers, E-a values were strongly modulated by the lipid environment. The Gibbs activation free energies (DeltaG(o)(not equal)) for protons in various gA channels are within the range of 27-29 kJ/mol in GMO bilayers and of 20-22 kJ/mol in DiPhPC bilayers. The largest difference between DeltaG(o)(not equal) for proton currents occurs between native gA (or SS channels) and the RR channel, In general, the activation entropy (DeltaS(o)(not equal)) is mostly responsible for the differences between g(H) values in various gA channels, and also in distinct bilayers. However, significant differences between the activation enthalpies (DeltaH(o)(not equal)) for proton transfer in the SS and RR channels occur in distinct membranes.