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Lecture 12

Proton conduction, stoichiometry


Stoichiometric factors in thermodynamic equations

Click here for a discussion of units and dimensions used in bioenergetics.

Phosophlipid membranes

A model of a phosopholipid membrane in the liquid crystalline state from Klaus Schulten's lab.

Proton conduction, proton channels, proton wells

Water is a good conductor of protons, because of the H-bonded networks between water molecules (see gramicidin tutorial for a nice view of water structure from a molecular dynamics simulation), that give water its liquid properties in the physiological range. In ice, the H-bonded networks are more extensive, and ice is a better conductor than liquid water. Conduction occurs through a "hop-turn" mechanism, first suggested by Grotthuss, and often referred to as the Grotthuss mechanism:

In the "hop" part of the mechanism, a proton first hops from the end of the H-bonded chain to an adjacent group (I, right); transfer of H-bond strength then allows it to be replaced by a H+ binding at the other end, to give the structure in II. In the "turn" phase, rotation of the waters as shown in II then restores the starting structure (I). In this H-bonded chain, the waters can in principle be replaced by suitable protein side chains with H-bonding potential.

Click here for a recent Theoretical Study of H+ Translocation along a Model Proton Wire.

Water is often ordered at surfaces, and it has been suggested that conduction at the surface might be a favored path for the proton current in energy coupling. However, it should be borne in mind that the conductivity of a conducting pathway is the product of the specific conductivity and the cross-sectional area; in most cases, the bulk aqueous phase has a much larger cross-sectional area in any given conduction pathway than the surface, and would therefore be the more probable conductor.

In redox reactions involving oxidation or reduction of quinones, the sites at which protons are released or taken up are often buried in the protein, because the quinone has to reach the site from the lipid phase. In other protolytic reactions involving proton pumping, the sites at which protons are bound or released are often buried in the protein; the center at which vectorial work is done on the proton is relatively immobile, and this requires access pathways through the protein. In both cases, the conduction pathway for protons into the protein is thought to involve channels formed by a chain of bound water molecules and protein side chains. A general picture of such a channel, and how it might operate along the lines of the model above (from Nagle and Tristram-Nagle, 1983), is given below:

The best studied proton channel is that of gramicidin, shown here in a Chime tutorial. Click here for a free-running tutorial showing structural features. Eric Jakobsson has simulated the waters in the gramicidin channel using a molecular dynamics in a membrane-gramicidin model.

Other nice examples of such a channel have been found in the bacterial reaction centers from both Rb. sphaeroides and Rps. viridis; the picture below is of the water channel connecting the quinol at the QB-site to the aqueous phase from which H+-binding occurs on reduction of quinone.

The quinol is shown as a green ball-and-stick structure, the protein as a wireframe structure (L-subunit, dark blue; M-subunit, light blue-green; H-subunit, yellow-green), and the waters by spacefilling red spheres at the position of the O-atom. The external medium has access to the empty volume at top left. Click here for a more extensive discussion, and a look at the reaction center water channel through a Chime tutorial.

Proton channels and proton wells in proton pumps

It has been suggested in a number of mechanisms that protons may gain access to catalytic sites through specific pathways which are highly conducting for protons (see above). Mitchell has pointed out that such channels would not have any substantial protonic potential drop along the direction of proton conduction (Dpchannel = 0). However, if the channel crosses part way through the insulating phase, it will experience a part of the electrical gradient (Dy) across the membrane. Since Dpchannel = 0, the electrical gradient along the channel must be balanced by an opposite chemical gradient (-ZDpHchannel). Mitchell called such channels proton wells, as illustrated below (from Mitchell (1968) Chemiosmotic coupling and energy transduction):

A corollary of the high conductivity of the proton channel is of importance for mechanism. If such a channel is to be part of a proton pumping device, then any work performed on (or by) the proton must be done across some part of the reaction pathway other than the conducting channel(s). To do work on the proton, it must be liganded or sequestered in the "active" part of the pathway.

Proton channels linked to proton "activating" devices are well characterized in two systems in which the prosthetic groups involved have a restricted mobility. One of these systems is cytochrome oxidase, where the work is performed on the proton by coupling redox reactions at the binuclear center to changes in affinity of protein side cahins. Michel and colleagues have suggested a mechanism involving the histidine ligands to CuB. The other is bacteriorhodopsin, where the mechanism of the photocycle has been characterized in some detail, with specific modelling of the reactions by which the Schiff base formed by the retinaldehyde-lysine undergoes deprotonation and protonation during the photocycle.

Bacteriorhodopsin Links

A brief tutorial on bacteriorhodopsin from Tom Ebrey's lab; an account of the molecular dynamics of the bacteriorhodopsin photocycle from Klaus Schulten's lab; a Chime tutorial showing structure features from the recent refined structure of bacteriorhodopsin from Richard Henderson's lab.

Surface potential

Click here for a discussion of the effects of local charge and surface potential on the reactions of macromolecules with ionic substrates, binding sites, membrane surface, etc. Also a discussionn of Gouy-Chapman treatment of surface potential.

 


©Copyright 1996, Antony Crofts, University of Illinois at Urbana-Champaign, a-crofts@uiuc.edu