Abstract

Proton diffusion along biological membranes is vitally important for cellular energetics. Here we extended previous time-resolved fluorescence measurements to study the time and temperature dependence of surface proton transport. We determined the Gibbs activation energy barrier ΔG‡r that opposes proton surface-to-bulk release from Arrhenius plots of (i) protons’ surface diffusion constant and (ii) the rate coefficient for proton surface-to-bulk release. The large size of ΔG‡r disproves that quasi-equilibrium exists in our experiments between protons in the near-membrane layers and in the aqueous bulk. Instead, non-equilibrium kinetics describes the proton travel between the site of its photo-release and its arrival at a distant membrane patch at different temperatures. ΔG‡r contains only a minor enthalpic contribution that roughly corresponds to the breakage of a single hydrogen bond. Thus, our experiments reveal an entropic trap that ensures channeling of highly mobile protons along the membrane interface in the absence of potent acceptors.

Highlights

  • Proton production and consumption processes play a pivotal role for bioenergetics across all organisms[1]

  • Protons move extremely fast along lipid membranes[6, 7]: their lateral proton diffusivity is almost as large as in bulk water[7, 8]. This fast proton migration establishes an efficient link between these proton release and consumption sites[3, 9, 10]

  • The long interfacial travel distance observed for protons implies that a substantial free energy barrier, ΔG‡r, for proton release prevents the surface proton from readily equilibrating with its bulk counterparts[7, 11]

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Summary

Introduction

Proton production and consumption processes play a pivotal role for bioenergetics across all organisms[1] Most of these processes involve proton diffusion at the cellular membrane/water interface[2, 3]. The long interfacial travel distance observed for protons implies that a substantial free energy barrier, ΔG‡r, for proton release prevents the surface proton from readily equilibrating with its bulk counterparts[7, 11]. It allows placing regulatory proteins (uncoupling protein 4) at some distance from both ATP synthases and proton pumps on the inner mitochondrial membrane[12]. Where T, kB, and ν0 ≈ 1013 s−1 are the absolute temperature, the Boltzmann constant, and the universal transition state theory attempt frequency for rate processes at surfaces[15]

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