Sharpey-Schafer Lecture Gas channels

The traditional dogma has been that all gases diffuse through all membranes simply by dissolving in the lipid phase of the membrane. Although this mechanism may explain how most gases move through most membranes, it is now clear that some membranes have no demonstrable gas permeability, and that at least two families of membrane proteins, the aquaporins (AQPs) and the Rhesus (Rh) proteins, can each serve as pathways for the diffusion of both CO2 and NH3. The knockout of RhCG in the renal collecting duct leads to the predicted consequences in acid–base physiology, providing a clear-cut role for at least one gas channel in the normal physiology of mammals. In our laboratory, we have found that surface-pH (pHS) transients provide a sensitive approach for detecting CO2 and NH3 movement across the cell membranes of Xenopus oocytes. Using this approach, we have found that each tested AQP and Rh protein has its own characteristic CO2/NH3 permeability ratio, which provides the first demonstration of gas selectivity by a channel. Our preliminary AQP1 data suggest that all the NH3 and less than half of the CO2 move along with H2O through the four monomeric aquapores. The majority of CO2 takes an alternative route through AQP1, possibly the central pore at the four-fold axis of symmetry. Preliminary data with two Rh proteins, bacterial AmtB and human erythroid RhAG, suggest a similar story, with all the NH3 moving through the three monomeric NH3 pores and the CO2 taking a separate route, perhaps the central pore at the three-fold axis of symmetry. The movement of different gases via different pathways is likely to underlie the gas selectivity that these channels exhibit.

This lecture honours Sir Edward Albert Sharpey-Schafer (1850-1935 and his grandson, Professor E. P. Sharpey-Schafer (1908-1963. The younger Sharpey-Schafer made important contributions to respiratory and cardiovascular physiology as a professor of medicine at St Thomas' Hospital in London (Anon, 1963).
The elder Sharpey-Schafer, working in London and Edinburgh, was a pioneer in the field of endocrinology and a major figure in the public service of the discipline of physiology (Hill, 1935). He made the pioneering discovery that a 'suprarenal extract' (i.e. predominantly adrenaline) increases blood pressure (Oliver & Schafer, 1895). He coined or popularized the terms 'endocrine' , This lecture was given at the Main meeting of the Physiological Society at the University of Cambridge on July 14, 2008. 'autocoid' and 'insuline' (from the Latin insula = island); the last, after hypothesizing that the substance that regulates blood glucose emanates from the islets of Langerhans. Sharpey-Schafer's closest link to the subject of my lecture was his work in the field of ventilation, including the introduction of the 'Schafer' method of artificial respiration, a procedure in which one straddles at the hips a patient in the prone position, and then periodically applies pressure with both hands on the back over the lower ribs.
As a distinguished servant in the cause of physiology, Sir Edward A. Sharpey-Schafer was a founding member of the Physiological Society (1876), the editor of Advanced Textbook of Physiology (1898-99) and the founder and lead editor of The Quarterly Journal of Experimental Physiology (1908), the predecessor to the present journal, the first editorial board of which also included Gotch, Halliburton, Sherrington, Starling and Waller. quarternary amines, which are already positively charged. Overton concluded that it is the neutral weak base, rather than the cationic acidic form, that predominantly enters the cell. Overton subsequently studied the uptake of acids into frog muscle, using osmotic swelling to gauge solute influx. He found that neutral weak acids (e.g. acetic acid) were far more effective than more acidic solutions of strong acids, again leading him to conclude that the neutral species more easily crossed into cells, and supporting his insightful hypothesis that the cell membrane consists predominantly of lipids. Confirmation with NH 3 . By studying cells containing native or exogenously applied pH-sensitive dyes, other investigators confirmed Overton's fundamental observations on a wide range of cell types. For example, several investigators showed that an exposure to NH 3 /NH + 4 causes internal pH to rise (Warburg, 1910;Harvey, 1911;Jacobs, 1922). In more modern times, Roger Thomas in 1974 used a microelectrode to show that an exposure to NH 3 /NH + 4 causes the intracellular pH (pH i ) of a snail neuron to rise, and that the removal of extracellular NH 3 /NH + 4 has the opposite effect (Thomas, 1974). In 1976, Boron and De Weer extended these observations in microelectrode experiments on squid axons (Boron & De Weer, 1976b), as illustrated by the twin-pulse experiment shown in Fig. 1A. In the brief, first exposure, pH i rises monotonically as the entry of the weak base NH 3 leads to the consumption of intracellular H + and the formation of NH + 4 , as illustrated in Fig. 1B. After the removal of NH 3 /NH + 4 , the reactions in Fig. 1B reverse and pH i falls but, curiously, to a value that modestly undershoots the initial pH i .
In the longer, second NH 3 /NH + 4 exposure shown in Fig.  1A, one might have thought that pH i should gradually approach an asymptote as [NH 3 ] i gradually approaches extracellular [NH 3 ] or [NH 3 ] o . Instead, pH i rises to a peak and then begins a slower decline. This plateau-phase acidification is due to the entry of the weak acid NH + 4 . As shown in Fig. 1C, a small fraction of the entering NH + 4 dissociates in the cytosol to form H + and NH 3 . As [NH 3 ] i rises above [NH 3 ] o , NH 3 exits the cell and combines with extracellular H + to form NH + 4 , which completes the cycle by entering the cell. Thus, during the plateau phase, NH 3 effectively shuttles H + into the cell. Even during the brief NH 3 /NH + 4 exposure in Fig. 1A, the influx of NH + 4 , overwhelmed by the entry of NH 3 , must have slowed the rate of pH i increase, reduced the magnitude of the overall NH 3 -induced pH i increase and led to a modest, excess build up of intracellular NH + 4 . Upon removal of the extracellular NH 3 /NH + 4 , this excess intracellular NH + 4 dissociates into NH 3 , which leaves the cell, plus H + , which causes the modest pH i undershoot. In the longer NH 3 /NH + 4 exposure, the much larger build up of intracellular NH + 4 leads to a correspondingly greater pH i undershoot.
The above work introduced the so-called ammoniumprepulse technique, which has become a widely used method for acid loading cells.
Depending on the cell type, a plateau-phase acidification like that in Fig. 1A can reflect the action of any of several mechanisms that acidify the cell. In barnacle muscle fibres, NH + 4 entry through channels, presumably K + channels, plays a major role (Boron, 1977;Kikeri et al. 1989). As discussed below, the Na + -K + pump can take up NH + 4 , especially when [K + ] o is low (Aickin & Thomas, 1977), and the Na + -K + -2Cl − cotransporter can also mediate a robust uptake of NH + 4 (Kinne et al. 1986;Kikeri et al. 1989). In fact, because of similarities in the physicochemical properties of NH + 4 and K + in aqueous solution, any K + -transport pathway could be viewed as a potential means of NH + 4 transport. Finally, in the presence of CO 2 /HCO − 3 , the Cl − -HCO − 3 exchanger (a pH i -regulatory mechanism that is called into play when pH i is too high) can make a contribution to the plateauphase acidification (Vaughan-Jones, 1982). Regardless of the mechanism of the plateau-phase acidification, all work summarized above is consistent with Overton's view that the neutral weak base is the dominant species that moves through the membrane.
Confirmation with CO 2 . After Overton, Jacobs, using the native pH-sensitive dye in flower petals, confirmed Overton's results by demonstrating that the cells exposed to CO 2 /HCO − 3 underwent a fall in internal pH (Jacobs, 1920). Caldwell, working on squid axons, was the first to observe a CO 2 -induced fall of pH i using a pH-sensitive microelectrode (Caldwell, 1958), and Thomas, working on snail neurons with his newly designed glass microelectrode that was truly 'micro' , was the first to show that the acidifying effect of CO 2 is reversible (Thomas, 1974).
In their experiments on squid axons, Boron & De Weer (1976b) extended the earlier work by lengthening the time of the CO 2 /HCO − 3 exposure. As shown in Fig. 2A, pH i at first falls rapidly as the entry of CO 2 leads to the formation of intracellular carbonic acid, which in turn dissociates to form intracellular H + and HCO − 3 , as illustrated in Fig. 2B. Although one might expect that pH i would gradually approach an asymptote as [CO 2 ] i gradually approaches [CO 2 ] o , pH i begins a slow increase that can only be explained by 'acid extrusion' , the active removal of an acid (e.g. H + ) or the active uptake of a base (e.g. HCO − 3 ), as shown in Fig. 2C. Either way, acid extrusion would lead to the accumulation of excess HCO − 3 inside the cell. With the subsequent removal of extracellular CO 2 /HCO − 3 , the excess intracellular HCO − 3 combines with H + and eventually exits the cell as CO 2 , producing the overshoot in Fig. 2A.
The experiment in Fig. 2A was the first example of the dynamic regulation of pH i . It had been surmised since the work of Fenn that, in the steady state, cells faced with the passive influx of H + must extrude acid in order to maintain the observed pH i (Fenn & Cobb, 1934;Fenn & Maurer, 1935). In 1975, Roos took the next important step in the field of pH i regulation, when he exposed rat diaphragm muscle to either Dlactic acid (HLac H + + Lac − ) or the weak acid DMO (HDMO H + + DMO − ). He confirmed that, after a few hours, the cells had accumulated large amounts of Throughout the experiment in A, ASW with an extracellular pH of 7.70 flowed past a cannulated axon, which was suspended in a chamber of small volume. Intracellular pH and membrane potential were monitored with glass microelectrodes. During the indicated period, the ASW was switched to one equilibrated with 5% CO 2 and in which 50 mM NaHCO 3 replaced 50 mM NaCl. Data are from Boron & De Weer (1976b). B shows that the influx of CO 2 leads to the production of intracellular H + and thus a fall in pH i . This process accounts for the falling phase of pH i during the CO 2 /HCO − 3 exposure in A. The influx of CO 2 in B leads to the indicated reaction near the extracellular surface of the membrane. In the bulk (i.e. flowing) ASW, the CO 2 /HCO − 3 buffer was in equilibrium (CO 2 + H 2 O H + + HCO − 3 ). C shows the system after CO 2 has equilibrated across the cell membrane; this equilibration corresponds to the pH i nadir during the CO 2 /HCO − 3 pulse. After this equilibration, pH i is dominated by 'acid extrusion', shown here as the active uptake of HCO − 3 . This active uptake of HCO − 3 is mediated by a transporter called a Na + -driven Cl − -HCO − 3 exchanger (which may mediate uptake of CO 3 2− or NaCO 3 − ion pair). This HCO − 3 uptake had been occurring since the beginning of the CO 2 /HCO − 3 exposure, but its effect on pH i had been overwhelmed by the influx of CO 2 . Now, during the plateau phase, HCO − 3 uptake leads to a consumption of H + in the cytosol and thus the production of CO 2 , leading to a net efflux of CO 2 . This process accounts for the plateau-phase alkalinization (i.e. rising phase of pH i ) during the CO 2 /HCO − 3 exposure in A. Because the cell accumulated HCO − 3 during the CO 2 /HCO − 3 exposure, the removal of extracellular CO 2 /HCO − 3 leads to a pH i overshoot. D-lactate or DMO − , which implied, if the permeant species were HLac or HDMO, that the cytosol had undergone a massive acid load. Nevertheless, he found that the simultaneously computed pH i was near the value of muscle fibres not so acid loaded. He correctly concluded that the cells, between the time of the acid load and the measurement of pH i , must have extruded the H + load (Roos, 1975). The experiment in Fig. 2A directly demonstrated the sorts of processes that Roos had envisioned, and also revealed the time courses; a relatively rapid intracellular acid load, followed by a slower pH i recovery due to an active process. Later work in both the squid axon and the snail neuron demonstrated that the acid-extrusion mechanism in squid axons and snail neurons is due to a Na +driven Cl − -HCO − 3 exchanger (Boron & De Weer, 1976a;Russell & Boron, 1976;Thomas, 1976Thomas, , 1977Boron & Russell, 1983). In many other cells studied in the absence of CO 2 /HCO − 3 , the pH i recovery from an acid load is mediated by a Na + -H + exchanger, as first demonstrated by Aickin & Thomas (1977) for mouse skeletal muscle. The Na + -H + exchanger had previously been demonstrated in membrane vesicles from small intestine and kidney by Murer et al. (1976), who approached the issue from the perspective of transepithelial transport. For a more indepth treatment of the role of these transporters in pH i regulation, the reader might consult reviews specifically on that topic (Roos & Boron, 1981;Boron, 2004;Bevensee & Boron, 2008;Vaughan-Jones et al. 2009;Casey et al. 2010).
Cautionary notes on pH. In his experiments, Overton measured the ability of an entering substance either to precipitate tannins or to cause osmotic swelling, both of which are reasonably direct measures of influx. The same cannot be said of the far more common, modern assays that exploit measurements of pH i (e.g. Figs 1 and 2). These assays do not assess permeability per se but whether it is the neutral versus charged species of a buffer pair that has the dominant impact on pH i . However, conclusions in the literature are almost never stated in this limited manner. For example, the NH 3 -induced alkalinization in Fig. 1 does not prove that the cell membrane is impermeable to NH + 4 ; in fact, the membrane is permeable to NH + 4 , which is the basis for the plateau-phase acidification in Fig. 1. In fact, such experiments do not even prove that the NH 3 flux is greater than the NH + 4 flux. As discussed in greater length elsewhere (Musa-Aziz et al. 2009c), one can conclude from Fig. 1 only that the ratio of the NH 3 influx (J NH 3 ) to the NH + 4 influx (J NH + 4 ) exceeds 10 (pHi − pK ) , a conclusion that flows from the analysis in the appendix of the paper by Boron & De Weer (1976b). For example, if pH i is 7.3 and the pK of the NH 3 -NH + 4 equilibrium is 9.3, exposing a cell to an NH 3 /NH + 4 solution will cause pH i to rise when: J NH 3 J NH + 4 > 10 pH i −pK = 10 7.3−9.3 = 1 100 (1) ] o was 1/20 or fivefold greater than the limiting ratio of fluxes. If we imagine that membrane potential (V m ) were zero (so that we could ignore the effects of charge on the diffusion of NH + 4 ), pH i would rise as long as the permeability ratio P NH + 4 /P NH 3 were <5. Thus, if P NH + 4 /P NH 3 were, say, 4, then the 20-fold advantage in NH + 4 concentration and fourfold advantage in NH + 4 permeability would produce only an 80-fold advantage for the influx of NH + 4 over NH 3 , which is still below the value of 100-fold necessary to stem the alkalinizing effect of NH 3 on pH i .
We could use similar logic in analysing the CO 2 -induced acidification in Fig. 2. Here, one can conclude only that the ratio of CO 2 influx (J CO 2 ) to HCO − 3 influx (J HCO − 3 ) exceeds 10 (pHi − pK ) . Thus, if pH i is 7.3 and the pK of the CO 2 -HCO − 3 equilibrium is 6.1, exposing a cell to a CO 2 /HCO − 3 solution will cause pH i to fall as long as: J CO 2 J HCO − 3 > 10 pH i −pK = 10 6.1−7.3 ≈ 1 16 (2) Stated differently, even if the CO 2 influx were only 1/15th of the HCO − 3 influx, pH i would still fall. I should emphasize that I am not attempting here to challenge the dogma that membrane lipids are more permeable to electrically neutral species (e.g. NH 3 ) than to their charged counterparts (e.g. NH + 4 ); the dogma is true. However, I do point out that the prevalent pH i data generally do not make as strong a case for Overton's conclusions as do Overton's original data.
Overton's rule. Although Overton's work provided important insights into the predominantly lipid nature of the cell membrane (see above), today Overton is remembered for 'Overton's rule' . This principle, founded on the work of Overton and later investigators, states that membrane permeability to a substance X (P X,m ) is proportional to the oil-water partition coefficient (K f ) of X or, more precisely, the lipid-water partition coefficient of X (K X ) for the lipid of the particular membrane under consideration. Thus, if s X,aq is the solubility of X in an aqueous solution and s X,m is the solubility in the membrane lipid, then K X = s X,m /s X,aq . We might regard Overton's rule as the solubility hypothesis, as follows: Note that P X,m is analogous to electrical conductance (reciprocal of resistance, R), and is only one determinant of the flux of X across the membrane (J X ). If the concentration of X in the aqueous layer in contact with the extracellular or outer surface (oS) of the membrane is [X] oS,aq and the concentration in the aqueous layer in contact with the intracellular or inner surface (iS) of the membrane is [X] iS,aq , then a simplified version of Fick's law yields the following: In the next few paragraphs, we will focus on P X,m . However, almost never do physiologists measure P X,m directly because they rarely have information about [X] oS,aq or [X] iS,aq . Instead, physiologists generally measure the macroscopic permeability (P X ) that governs the diffusion of X from the bulk (i.e. stirred) extracellular fluid that has a known concentration of X ([X] o,bulk ), through the unstirred layer near the extracellular surface of the cell, through the membrane itself, and through an intracellular unstirred layer to some point (p) inside the cell where [X] is [X] i,p , as follows: Note that eqn (5) is highly oversimplified inasmuch as it ignores the following unstirred layers that envelope the cell membrane: (1) the extracellular unstirred layer (eUL) between the bulk extracellular fluid and the outer surface of the membrane; and (2) the intracellular unstirred layer (iUL) between the inner surface of the membrane and some point deeper inside the cytosol where we make our measurements. Viewed differently, the overall 'resistance' that opposes the diffusion of X from the bulk extracellular fluid to a point in the intracellular fluid (R X = 1/P X ) is the sum of the 'resistance' through the following: (1) the extracellular unstirred layer (R X,eUL = 1/P X,eUL ); (2) the membrane (R X,m = 1/P X,m ); and (3) the intracellular unstirred layer (R X,iUL = 1/P X,iUL ). As is clear from the analysis of Pohl and colleagues (Missner et al. 2008a,b;Missner & Pohl, 2009), the combination of large unstirred layers (i.e. a relatively large sum R X,eUL + R X,iUL ) and a relatively high P X,m (i.e. a relatively small R X,m ) renders P X virtually insensitive to modest changes in P X,m . In other words, the permeability of the membrane per se only matters if P X,m is relatively small compared with the aggregate permeability of the unstirred layers. We might term this the series-resistance problem, which we will consider again below (section 'A view from artificial bilayers').
Consideration of the diffusion constant. Over the decades, Overton's hypothesis evolved into Overton's rule. However, even as the rule became firmly cemented in our physiology textbooks, it became clear to the practitioners of membrane biology that the solubility hypothesis is overly simplistic. For example, many small molecules are more permeable than expected, with the increase being inversely related to molecular volume (Walter & Gutknecht, 1986). Biologists recognized that the permeability of substance X through the membrane depends not only on solubility but also the diffusion constant (D X ). We might term this is the solubilitydiffusion hypothesis (see Finkelstein, 1986), as follows: The spirit of eqn (6) is clearly reflected in a physiology textbook with which I am intimately familiar (see Boron & Boulpaep, 2009), and others before it. In other words, after dissolving in the membrane lipid, X must diffuse across the membrane. For different solutes, K X and D X appear to weigh differently. In the case of CO 2 transiting through artificial membranes, P CO 2 ,m appears to be more sensitive to changes in D X than K X . For example, CO 2 solubility varies only about twofold among a wide range of lipids, whereas CO 2 permeability has a range of over 1000 in artificial lipids (Blank & Roughton, 1960;Gutknecht et al. 1977;Simon & Gutknecht, 1980). Thus, D CO 2 must be far more important a determinant of membrane permeability than K CO 2 , and some lipids must have far lower D CO 2 values than others. Work exploiting electron paramagnetic resonance and O 2 -sensitive spin labels concludes that adding 50% cholesterol to a dimyristoyl phosphatidylcholine (DMPC) bilayer, by reducing the local product of [O 2 ] and D O 2 within the membrane, can reduce membrane O 2 permeability by 75-80% of the value in a pure DMPC membrane (Subczynski & Swartz, 2005).
As an historical aside, chemists studying the diffusion of gases through polymers were, alas, well out in front of the physiologists. According to one review (Stannett, 1978), John Kearsley Mitchell had formulated what we now call 'Overton's rule' in 1831, well over a half century before Overton's experiments. The physical chemist Thomas Graham, who gave us Graham's law, discovered dialysis and is considered the founder of colloid chemistry, published his first paper on gas transport across membranes in 1829. He enunciated the solubility-diffusion theory in 1866, about a century before biologists.

Consideration of integral membrane proteins.
Integral membrane proteins could reduce permeability by at least three general mechanisms. Exp Physiol 95.12 pp 1107-1130 First, it is important to recognize a trivial principle, that substances cannot dissolve in membrane lipid that is not there, having been displaced by integral membrane proteins that typically make up 25% of the membrane surface area. This figure is 50% or more in the erythrocyte (see Forster et al. 1998) and is presumably even higher in the membrane of the astrocytic endfoot that faces CNS vessels (these membranes consist of ∼35% aquaporin (AQP) 4 in semi-crystalline arrays; see Amiry-Moghaddam et al. 2004). A space-filling model of the synaptic vesicle (which identified only about half of the proteins) shows that the structure is 'dominated' by membrane proteins (see Fig. 4 of Takamori et al. 2006). Although a particular integral membrane protein may transport a restricted set of substances, we can generally regard any such protein as being an absolute barrier to most substances. An electron paramagnetic resonance study of O 2 permeability suggests that, merely by displacing lipids, integral membrane proteins can reduce overall membrane permeability to half to a third of the value in an artificial lipid bilayer (Subczynski & Swartz, 2005).
A second mechanism by which integral membrane proteins can reduce permeability is by organizing the surrounding lipids (Engelman, 2005;Subczynski & Swartz, 2005;Subczynski et al. 2009). Electron paramagnetic resonance studies of O 2 permeability indicate that integral membrane proteins reduce O 2 permeability by creating slow oxygen transport (SLOT) domains in which O 2 permeability can be reduced to 1/16 that of bulk-lipid domains in the same membrane (Kawasaki et al. 2001). At least in the example of the influenza virus membrane, the ratio of SLOT/bulk lipids is ∼40%/60%.
Together, mechanisms 1 and 2 reduce K X and D X to the effective values K X and D X . We might term our updated model, which includes the ability of integral membrane proteins to displace and organize lipids, the solubilitydiffusion-protein hypothesis, expressed as follows: The third mechanism by which integral membrane proteins can reduce permeability is by contributing to the reduction of access/egress as discussed in the following section.
Consideration of access to and egress from the membrane lipid. In addition to solubility, diffusion and integral membrane proteins, I would add a third consideration, that solubilization and diffusion (as modulated by integral membrane proteins) are only possible after the substance has gained access to the membrane lipid, and can continue only if the solute can exit the membrane. We might term this the access-solubility-diffusion-protein-egress hypothesis, as follows: P X,m ∝ Access/egress efficiency × K X × D X (8) Access/egress efficiency is almost certainly not 100%. Integral membrane proteins presumably reduce access/egress by at least two mechanisms. First, as pointed out by Engelman, even integral membrane proteins with modest cross-sectional areas in the plane of the lipid bilayer can have impressive 'ectodomains covering lipid and creating steric restrictions' (Engelman, 2005). Second, integral membrane proteins can form complexes with soluble proteins. As in the case of the large ectodomains, if a soluble-but-bound protein literally abuts the lipid, it insulates the lipid surface from the aqueous solution. If the protein hovers some distance from the membrane, it restricts diffusion by increasing the tortuosity factor between the bulk fluid and the lipid surface. Some soluble proteins can attach to the membrane lipid, independent of integral membrane proteins, via ionic or hydrophobic interactions. These attached proteins, and other soluble proteins that attach to them, could restrict access/egrees to/from membrane lipids as outlined above for the ectodomains of integral membrane proteins and for soluble proteins adhering to these ectodomains. The plasma membrane, particularly the inner surface with its phosphatidyl serine (Subczynski & Swartz, 2005) and phosphoinositides, is the major locus of the cell's negative membrane-surface charge and strongly attracts soluble polycationic proteins (see Leventis & Grinstein, 2010).
Even those phospholipid head groups not masked by proteins can locally organize water molecules and thereby create an energy barrier to CO 2 entry into/exit from lipid membranes (Wang et al. 2007). Sugar polymers attached to the outer surface of the plasma membrane could also reduce access to membrane lipid.

Overall effect on background membrane permeability.
It may be worth noting that, whereas D X is a kinetic term that describes the rate of diffusion, the lipidwater partition coefficient is a thermodynamic term that describes, at equilibrium, the concentration ratio of substance X in membrane lipid to water. The term K X says nothing about the speed with which X reaches its equilibrium concentration in membrane lipid. Thus, K X does not define the concentration of X at any distance through the membrane lipid, but the maximal possible [X] at infinite time with equal [X] on opposite sides of the membrane. While X is entering a cell, for example, the [X] at any distance through the thickness of the membrane lipid (i.e. around proteins in the plane of the membrane) depends on the following: (1) [X] in the aqueous layer near the extracellular surface of the membrane; (2) access efficiency; (3) the kinetics of solubilisation; (4) the effective K X (which determines the upper bound of [X] in lipid) as reduced by integral membrane proteins; (5) the effective diffusion constant within the membrane lipid as reduced by integral membrane proteins; (6) the kinetics of desolubilization; (7) egress efficiency; and (8) [X] in the aqueous layer near the intracellular surface of the membrane. In other words, the solubility hypothesis (i.e. Overton's rule) merely sets an upper bound on the permeability properties of the lipid portion of the membrane, and cannot predict how far below this theoretical maximum the permeability may be in the lipid phase of a real biological membrane in various physiological conditions. By how much might the presence of integral membrane proteins and the presence of cholesterol in bulk membrane lipids reduce 'background' membrane permeability? If proteins occupied two-thirds of the membrane surface, if 40% of the lipids were protein associated (assumed 1/16 of normal lipid permeability), and if 60% of the lipids had a 50% molar ratio of cholesterol (assumed 1/5 of normal lipid permeability), then the background permeability might fall to ∼5% of the nominal value. Reduced access/egress efficiency caused by ectodomains of integral membrane proteins and by adherent soluble proteins could further reduce this figure.

Chinks in Overton's armour
Despite the cautionary notes in the previous section, in the early 1990s I did not know anyone, including me, who questioned Overton's rule, or the implicit dogma that all gases move through all membranes simply by dissolving in the lipid phase of the membrane. According to this philosophy, gas transport depends only on concentration gradients and the properties of the lipid phase of the membrane, leaving no possibility of regulation, and little possibility of selectivity beyond what might be allowed by solubility-diffusion theory. But then things began to change. . . .

Membranes with relatively low NH 3 /NH + 4 permeability
ratios. Hamm et al. (1985) demonstrated that the apparent transepithelial NH 3 permeability of the isolated, perfused cortical collecting tubule is much lower than for proximal convoluted tubules (∼5 × 10 −3 versus ∼6 × 10 −2 cm s −1 ), which was perhaps the first argument consistent with restricted NH 3 permeation. However, sceptics might argue that the difference could reflect the much higher surface area of proximal-tubule cells. Garvin et al. (1988) examined the transepithelial permeability of NH 3 versus NH + 4 in renal thick ascending limb (TAL). This nephron segment is peculiar, and important, because its apical membrane (i.e. the one facing the lumen) has a very low permeability to H 2 O. Thus, the reabsorption (i.e. movement from lumen to blood) of NaCl by the TAL is disproportionately high compared with the reabsorption of H 2 O, leaving behind in the lumen a relative surplus of H 2 O (hence, the term 'diluting segment') and simultaneously creating a hypertonic interstitium. The TAL also plays a critical role in transferring NH + 4 from the lumen to the interstitium and then short-circuiting it to the collecting ducts for excretion in the urine. Garvin and colleagues found that the apparent transepithelial NH 3 permeability of the TAL, like that of the cortical collecting tubule, is quite low (∼3.1 × 10 −3 cm s −1 ). However, more telling was the observation that this value was only about 20fold greater than the transepithelial NH + 4 permeability (∼1.5 × 10 −4 cm s −1 ), far lower than one would predict by Overton's rule. These data are consistent with the hypothesis that the TAL epithelium either restricts the diffusion of NH 3 and/or enhances the transport of NH + 4 via channels/transporters. Kikeri et al. (1989) extended the work of Garvin and colleagues by monitoring the pH i of TAL cells while introducing NH 3 /NH + 4 to the lumen. Rather than the usual initial rise in pH i , they observed only a sustained fall. Aickin & Thomas (1977) had observed a large and sustained acidification in the presence of extracellular NH 3 /NH + 4 , but only after replacing extracellular K + with NH + 4 (presumably forcing the Na + -K + pump to carry NH + 4 , rather than K + , into the cell), and even then they sometimes observed a small transient rise in pH i (due to NH 3 entry). Thus, Kikeri and coworkers demonstrated for the first time, in more-or-less physiological conditions, that the effects of NH + 4 influx can overwhelm those of NH 3 influx from the perspective of pH i . By analogy with eqn (1), we can conclude the following: These inequalities are consistent with the earlier data of Garvin et al. (1988). Despite the title of the Kikeri paper, one cannot really conclude from the data that the apical membrane of the TAL cells is impermeable to NH 3 , only that the flux of NH + 4 , carried by apical Na + -K + -2Cl − cotransporters and K + channels, greatly dominates over that of NH 3 from the perspective of pH i .
A membrane with no detectable permeability to NH 3 or NH + 4 . In 1989, surgical resident Steven Waisbren approached me with the idea of studying pH i regulation in gastric parietal cells. The initial suggestion was to dissociate these cells from gastric glands and study them in isolation. I remember my almost reflex-like response, 'Not in my lab!' . . . with the explanation that these are epithelial cells and it is important to respect their sidedness. This instinct proved to be critical. We decided Exp Physiol 95.12 pp 1107-1130 to hand-dissect single glands from the fundus of a rabbit stomach (Waisbren et al. 1994a) and to perfuse the isolated gland as one would a renal tubule (Burg et al. 1966). Waisbren sucked up the blind end of a rabbit gland into a pipette assembly and pierced the base of the gland with the perfusion pipette, thereby initiating perfusion in the orthograde direction. The challenge is that the gastricgland lumen is not so much the inside of a garden hose as it is a twisting ribbon.
Waisbren's first goal was to acid load the cells using an NH + 4 prepulse (see Fig. 1) and then examine the pH i recovery from the acute acid load. Owing to the plumbing of the perfusion-pipette system, the userinitiated switching of luminal solutions entails a lengthy (e.g. ∼20 s) and somewhat variable delay before the new solution (in this case, the one containing 20 mM Throughout the experiment, the lumen of the gland was perfused, and the basolateral surface ('bath') was superfused with CO 2 /HCO − 3 -free physiological saline at 37 • C. Intracellular pH of multiple parietal and chief cells was measured using the pH-sensitive dye BCECF in conjunction with a digital-imaging system. Data are from Waisbren et al. (1994b); similar data were obtained on chief cells. During the indicated periods, either the luminal or the basolateral solution was switched to one in which 20 mM NH 4 Cl replaced 20 mM NaCl. In A, both luminal and basolateral NH 3 /NH + 4 solutions had a pH of 7.4. In B, the luminal NH 3 /NH + 4 solution had a pH of 8.0 (and thus fourfold higher [NH 3 ]), whereas the basolateral NH 3 /NH + 4 solution had a pH of 7.4. The basolateral NH 3 /NH + 4 exposures produced pH i transients (abcd) similar to that in the second NH 3 /NH + 4 pulse in Fig. 1A, except that here the pH i recovered from the acid load (de). However, the luminal exposures produced no significant pH i changes. Together with other data, these observations showed that the apical membranes of parietal and chief cells have no detectable permeability to either NH 3 or NH + 4 .
NH 3 /NH + 4 ) arrives in the lumen. Thus, it was our practice when working with proximal tubules first to switch the luminal solution, wait for pH i to begin to rise (indicating arrival of NH 3 in the lumen), and then to switch the basolateral or 'bath' solution (which arrives with predictable rapidity). Employing this protocol with a gastric gland, Waisbren switched the luminal solution from our standard Hepes-buffered saline at pH 7.40 to an otherwise identical solution in which he replaced 20 mM NaCl with 20 mM NH 3 /NH + 4 and he waited . . . and waited for pH i to rise.
Waisbren called to me several minutes after he had initiated that luminal solution switch, and announced the unexpected null result. We then watched together as he switched the basolateral solution to one containing 20 mM NH 3 /NH + 4 , and observed the 'usual' series of pH i changes for an 'NH + 4 prepulse' . Figure 3A shows a parietal-cell pH i record from such an experiment (Waisbren et al. 1994b Fig. 3A) but pH i still did not budge. He obtained similar results from gastric chief cells.
Assuming that the above experiments were technically correct, can we explain the absence of a luminal-NH 3 /NH + 4 -induced pH i change on the basis of serendipitous combinations of NH 3 and NH + 4 influxes across the apical membrane? We need only consider the case of parallel influxes of NH 3 and NH + 4 . Parallel effluxes are probably impossible, given the absence of both NH 3 and NH + 4 in the basolateral solution. Fluxes of NH 3 and NH + 4 in opposing directions would always produce a pH i change, with pH i falling with an NH 3 influx and rising with an NH 3 efflux (Boron & De Weer, 1976b). By analogy with eqn (1), and as discussed elsewhere (Musa-Aziz et al. 2009c), we can define a ratio of NH 3 and NH + 4 fluxes that would produce no change in pH i as follows: Even if the condition prescribed in eqn (10)  in the lumen, we would have expected NH + 4 transport through a transporter or a channel eventually to saturate and thus shift (J NH 3 /J NH + 4 ) away from (J NH 3 /J NH + 4 ) Null . Thus, it is difficult to escape the conclusion that the apical membranes of both parietal and chief cells, exposed to perhaps the most hostile environment in the body, have an undetectably low permeability to both NH + 4 and NH 3 .
A membrane with no detectable permeability to CO 2 or HCO − 3 . In the same study as that discussed above in conjunction with Fig. 3, Waisbren examined the effects of exposing the apical and basolateral membranes to CO 2 /HCO − 3 (Waisbren et al. 1994b). The initial portion of Fig. 4A shows that a basolateral exposure to 5% CO 2 /22 mM HCO − 3 (pH 7.40) produces a rapid CO 2induced fall in pH i (segment ab) followed by a slower recovery (segment bc) that reflects the pH i -regulatory activity of this gastric parietal cell. The removal of the basolateral CO 2 /HCO − 3 causes a pH i increase (segment cd) due to CO 2 efflux followed by a pH i relaxation (following segment d). A subsequent exposure to luminal 5% CO 2 /22 mM HCO − 3 at the same pH of 7.40 had no effect on pH i . Figure 4B shows an experiment in which Waisbren blocked pH i regulation with 200 μM 4,4diisothiocyanatostibene-2,2 -disulfonic acid (DIDS) in order to detect small CO 2 -induced pH i decreases more easily. His first manoeuvre, introducing 100% CO 2 /22 mM HCO − 3 (pH ∼6.1) into the lumen, had no effect on pH i . Nevertheless, subsequent basolateral exposures to 1% CO 2 /HCO − 3 and 5% CO 2 /HCO − 3 produced graded CO 2induced decreases in pH i but no pH i recovery. Waisbren obtained similar results on chief cells. Comparable to the NH 3 /NH + 4 data, luminal CO 2 did not acidify cells even though the CO 2 /HCO − 3 ratio varied by a factor of ∼20 between Fig. 4A and B. Thus, it is not clear how a fortuitous combination of CO 2 and HCO − 3 influxes could have generated a null pH i effect in both conditions. Calculations show that, ignoring permeability to HCO − 3 , the CO 2permeability × area product of the apical membrane could be no more than 1/1000 that of the basolateral membrane. We concluded that the apical membranes of gastric parietal and chief cells have no detectable permeability to either CO 2 or HCO − 3 .
Control experiments for the gastric-gland study. The above data contain several control experiments that make it unlikely that we inadvertently failed to detect a luminal CO 2 -induced pH i decrease that was in fact there. Nevertheless, one might still argue that the permeability of the apical membranes is so high that all available NH 3 or CO 2 diffused into the gastric-gland cells in the first few micrometres of the perfused gland lumen, leaving little to enter the cells over the bulk of the gland. However, we found that all cells in the perfused gland behaved in a similar fashion. Moreover, when we perfused the lumen with an unbuffered solution containing a pH-sensitive dye, switching the luminal perfusate from 5% CO 2 /22 mM HCO − 3 (pH 7.4) to 100% CO 2 /HCO − 3 (pH 6.1) caused Throughout the experiment, the lumen of the gland was perfused, and the basolateral surface ('bath') was superfused with physiological saline at 37 • C. Intracellular pH of multiple parietal and chief cells was measured using the pH-sensitive dye BCECF in conjunction with a digital-imaging system. Data are from Waisbren et al. (1994b); similar data were obtained on chief cells. During the indicated periods, either the luminal or the basolateral solution was switched to one equilibrated with CO 2 . In A, both luminal and basolateral CO 2 /HCO − 3 solutions had a pH of 7.4 achieved with 22 mM HCO − 3 . The basolateral CO 2 /HCO − 3 exposures produced pH i transients (abcd) similar to that in Fig. 2A. However, the luminal exposure produced no significant pH i changes. This experiment terminated with a nigericin calibration. In B, the luminal CO 2 /HCO − 3 solution had a pH of 6.1 (with 100% CO 2 /22 mM HCO − 3 ) but produced no significant pH i change. The basolateral CO 2 /HCO − 3 solutions had pH values of 7.4 (1% CO 2 /4.4 mM HCO − 3 or 5% CO 2 /22 mM HCO − 3 ) and produced the expected acidifications. Basolateral 200 μM DIDS blocked the pH i recovery from the acid loads. Together with other data, these observations showed that the apical membranes of parietal and chief cells have no detectable permeability to either CO 2 or HCO − 3 .
an abrupt fall in luminal pH along the entire gland. If CO 2 had been exiting the lumen, pH L would have become gradually more alkaline at increasing distance from the perfusion pipette. Thus, we can conclude that, although the basolateral membranes of gastric glands have normal NH 3 /NH + 4 and CO 2 /HCO − 3 transport properties, the apical membranes have no detectable permeability to NH 3 or NH + 4 , or to CO 2 or HCO − 3 , making these the first documented gas-impermeable membranes within our limits of detection.
The apical membrane of colonic crypts. In 1995, Gastrointestinal Fellow Satish Singh published a pH i study demonstrating that, like the cells of the rabbit gastric gland, those of the colonic crypt exhibit the normal sequence of pH i changes when exposed to basolateral NH 3 /NH + 4 , but show no evidence of NH 3 or NH + 4 permeability at the apical membrane (Singh et al. 1995 [NH 3 ] was ∼100-fold higher than basolateral [NH 3 ], the basolateral exposure produced an easily discernable series of pH i changes, where the luminal exposure was without effect. Thus, the apical membranes of colonic crypts, like those of gastric glands, also exposed to an inhospitable environment, have no detectable permeability to either NH 3 or NH + 4 . Although not part of that study, Singh also examined in three experiments the effect of luminal CO 2 /HCO − 3 ; he found no evidence of apical CO 2 permeability. The plasma membrane of Xenopus oocytes. In the early 1990s, both Burckhardt & Frömter (1992) and Keicher & Meech (1994) observed that large-diameter oocytes from Xenopus laevis, exposed to 20 mM extracellular NH 3 /NH + 4 , exhibit a paradoxical fall in pH i , like that first reported on other cell types by Aickin & Thomas (1977) and by Kikeri et al. (1989). Later, Bakouh et al. (2006) reported that although an exposure to 10 mM NH 3 /NH + 4 caused oocyte pH i to fall, an exposure to 0.5 mM NH 3 /NH + 4 elicited no change in pH i . As discussed below (section 'NH 3 handling by oocytes'), work by Musa-Aziz et al. (2009c) using surface-pH electrodes suggests that oocytes indeed have a modest permeability to NH 3 but that the oocytes remove the incoming NH 3 from the cytosol by either metabolism or sequestration.
As demonstrated by Preston et al. (1992), Xenopus oocytes have a relatively low osmotic water permeability (P f ) except when expressing a water channel such as AQP1. From a teleological perspective, the low P f of native oocytes is not surprising, inasmuch as amphibian blood plasma has an osmolality of ∼200 mosmol kg −1 , whereas female Xenopus lay their eggs in fresh water. Thus, to the extent that water can enter Xenopus oocytes by osmosis, the oocytes have a tendency to swell and ultimately burst, to the extent not compensated by some energy-requiring process. It is possible that membranes facing inhospitable environments (chemically inhospitable environments in the case of the lumen of gastric glands and colonic crypts, osmotically inhospitable in the case of Xenopus oocytes, or perhaps physically inhospitable environments in the case of erythrocytes) have robust membranes that render them poorly permeable to water and gases.

First evidence for gas channels: AQP1
The importance of seminars. On 17 October 1992, Peter Agre presented an elegant seminar to the Department of Cellular and Molecular Physiology at Yale, summarizing his groundbreaking work on aquaporins. Agre had first identified what proved to be the AQP1 protein in the membranes of erythrocytes and the kidney (Denker et al. 1988), and cloned the cDNA from human fetal liver (Preston & Agre, 1991). I was struck by the high level of AQP1 expression in erythrocyte membranes. After that seminar, Peter Agre arranged to send us the cDNA encoding AQP1 so that we could verify an earlier observation that AQP1 was not permeable to H + (indeed, it was not). Later, he was quite magnanimous in sending us cDNA encoding other AQPs as well as AQP1 mutants. His generosity was critical to our early progress inasmuch as our molecular-biological skills at the time were rudimentary! Nearly two years later, with Agre's AQP1 cDNA safely frozen away in our laboratory, I found myself presenting our recently published gastric-gland work to the Department of Physiology at the University of Pennsylvania. After the talk, someone asked me the obvious but still unanswered question, how is it that the apical membranes of gastric-gland cells are able to exclude NH 3 and CO 2 ? I replied that the lipids of the apical membranes may have an intrinsically low gas permeability, or contain proteins or other substances that (although not quite stated this way) reduce access/egress. As we were leaving the seminar room, Paul De Weer asked me if I considered the possibility that all membranes have an intrinsically low gas permeability, but that gastric-gland basolateral membranes have 'gas channels'; I expressed my incredulity.
Although, years later, De Weer denied any knowledge of this conversation, my mind returned to it early and often. I reasoned that if, indeed, gas channels exist, they would possess the following properties. (1) They would most probably be found in a cell whose raison d'être was gas transport. (2) The channel protein(s) would be present in that cell at high levels. (3) The function of the protein would either be unknown or, if known, would not comport in an obvious way with the raison d'être of the cell. Before long, I realized that the cDNA for a prime candidate was languishing in our freezer. Was AQP1 not only a water channel, as so beautifully demonstrated by Agre and collaborators, but possibly also a gas channel?
Early work with CO 2 on Xenopus oocytes. As it happened, former postdoctoral fellow Nazih Nakhoul returned to my group from 1994 to 1995 for a sabbatical. He wished to extend his technical repertoire by performing electrophysiological experiments on Xenopus oocytes that were heterologously expressing mammalian proteins. As first demonstrated in the landmark paper by Preston et al. (1992), it is easy to express AQP1 in oocytes, and also to check the adequacy of expression by dropping them in deionized water and observing the osmotic swelling and, ultimately, a rather striking explosion. Therefore, Nakhoul decided to test the gaschannel hypothesis. With the help of Bruce Davis and Michael Romero, he injected oocytes either with cDNA encoding human AQP1 or with water as a control, and then add/removed CO 2 /HCO − 3 . In a paper published in February 1998, Nakhoul et al. showed that the maximal rate of CO 2 -induced acidification ([dpH i /dt] max/+CO 2 ), as well as the maximal rate of alkalinization induced by the removal of CO 2 ([dpH i /dt] max /−CO 2 ), were not different in AQP1 versus control oocytes (Nakhoul et al. 1998). We reasoned that as the CO 2 entered the cell, the reaction CO 2 + H 2 O → H 2 CO 3 → HCO − 3 + H + may have been rate limiting not only for the generation of the H + that the intracellular pH electrode was measuring, but also for the clearance of CO 2 from the inner surface of the cell membrane. Perhaps the latter effect, which would have reduced the inward gradient for CO 2 , masked any effect of AQP1.
When he injected the oocytes with carbonic anhydrase II (CAII) protein, Nakhoul found, as expected, that rates of pH i change were markedly increased in all conditions (e.g. 4.8-fold for CO 2 application in waterinjected oocytes). Moreover, he found that during CO 2 application, when pH i is falling rapidly, the magnitude of the CAII-dependent component of [dpH i /dt] max /+CO 2 was ∼45% greater in AQP1-expressing oocytes than in control oocytes injected with water rather than cRNA. During CO 2 withdrawal, when pH i is rising rapidly, the CAIIdependent component of [dpH i /dt] max /−CO 2 was ∼60% greater in AQP1-expressing oocytes versus control oocytes. Finally, the carbonic anhydrase inhibitor ethoxzolamide (ETX) erased the effect of the CAII. The magnitude of the ETX-sensitive component of [dpH i /dt] max /+CO 2 was ∼65% greater for AQP1-expressing oocytes versus control oocytes. Thus, these experiments proved that the heterologous expression of human AQP1 causes a significant increase in the apparent CO 2 permeability of Xenopus oocytes. Although the most likely explanation was that the extra CO 2 moved through AQP1, it was impossible to rule out, on the basis of the data alone, the possibility that the expression of AQP1 produced its effect by one of the following mechanisms: (1) increasing the background permeability of membrane lipids; (2) causing the upregulation of an unknown gas channel in oocytes; or (3) an effect of CAII on (1) or (2).
Later work with CO 2 on oocytes. In a paper published in December 1998, Gordon Cooper found that, in oocytes lacking exogenous CAII, the expression of AQP1 had no effect on the maximal rate of CO 2 -induced acidification , confirming the earlier work of Nakhoul et al. (1998). However, he found that when he removed the vitelline membrane (a manoeuvre expected to decrease the extracellular unstirred layer and thus better reveal the contribution of the cell membrane) the expression of AQP1 did indeed cause an increase in [dpH i /dt] max /+CO 2 . Figure 5 shows pH i records from three oocytes, previously injected with cRNA encoding AQP1, and expressing this AQP1 to varying degrees, exposed to 1.5% CO 2 /10 mM HCO − 3 at pH 7.50. The trace coloured purple represents the oocyte that acidified most slowly ([dpH i /dt] max /+CO 2 = −9.6 × 10 −4 pH units s -1 ) and, when subsequently exposed to deionized water, lysed in 180 s. Neither of these values is very different from those of water-injected control oocytes. That is, this particular oocyte, which had a low level of AQP1 expression, also had an unremarkable CO 2 permeability. The orange trace is from an oocyte that had both an intermediate acidification

Figure 5. Effect of graded expression of human AQP1 on CO 2 -induced acidification rate of Xenopus oocytes
Three oocytes (purple, orange and green records) injected with cRNA encoding human AQP1 were superfused with physiological saline at pH 7.5. Intracellular pH was monitored by impaling the cell with a liquid-membrane pH microelectrode and a conventional electrode for monitoring membrane potential. Data are from . During the indicated periods, the extracellular solution was switched to one equilibrated with 1.5% CO 2 /10 mM HCO − 3 . The initial rate of pH i decline is an index of the CO 2 permeability. After the electrophysiological recordings, the oocytes were dropped into deionized water and monitored for the time to lysis (shorter times correlating with greater osmotic water permeabilities). Together with other data, these observations showed that CO 2 can move through AQP1.
Exp Physiol 95.12 pp 1107-1130 rate ([dpH i /dt] max /+CO 2 = −25.1 × 10 −4 pH units s -1 ) and an intermediate lysis time (82 s). Finally, the green record is from an oocyte that acidified rapidly ([dpH i /dt] max /+CO 2 = −35.8 × 10 −4 pH units s -1 ) and lysed quickly (50 s). A more extensive analysis of 34 devitellinized oocytes injected with cRNA encoding AQP1 demonstrated a decreasing linear relationship between the magnitude of [dpH i /dt] max /+CO 2 and the lysis time. In contrast, expression of the K + channel ROMK1 had no effect on [dpH i /dt] max /+CO 2 but did hyperpolarize the oocyte to the predicted equilibrium potential for potassium (E K ). Thus, Cooper demonstrated that CO 2 permeability correlates with the expression of AQP1 but not an unrelated K + channel. Macey (1984) showed that mercurials reduce the permeability of the putative water channel in red blood cells (RBCs). In 1992, Preston and colleagues demonstrated that HgCl 2 also reduces the water permeability of AQP1 as expressed in oocytes (Preston et al. 1992), and in 1993 they demonstrated that Cys-189 (near the opening of the extracellular side of the water pore) is necessary for mercurial sensitivity (Preston et al. 1993). Therefore, Gordon Cooper examined the effect of p-chloromercuribenzenesulfonate (pCMBS) on the CO 2induced acidification. He found that pCMBS produces a larger reduction of the magnitude of [dpH i /dt] max /+CO 2 in AQP1-expressing oocytes than in water-injected control cells, and that this effect is abrogated by a mutation that converts Cys-189 to Ser (i.e. C189S). Thus, a mercurial derivative reduces the AQP1-dependent component of CO 2 permeability, and the predicted mutation of AQP1 prevents the inhibitory effect. These results prove that AQP1 per se can mediate CO 2 transport.
Work with CO 2 on erythrocytes. In December 1998, Forster et al. (1998) made the surprising observation that DIDS not only reduces the HCO − 3 permeability of RBCs (due to blockade of the Cl − -HCO − 3 exchanger AE1), but the CO 2 permeability as well. The experimental approach was to use 18 O-labelled HCO − 3 and use mass spectrometry to monitor the degree to which carbonic anhydrase (present only inside RBCs) accelerates the loss of the 18 O label to H 2 O. They hypothesized that DIDS could reduce CO 2 permeability by reacting either with the membrane lipid or with a major membrane protein, such as AE1 or AQP1. Citing an abstract by Cooper (a report that DIDS inhibited AQP1 expressed in oocytes; , Forster et al. favoured the membraneprotein option. Work with CO 2 on reconstituted AQP1. Finally, also in December 1998, Prasad and colleagues demonstrated that human AQP1 reconstituted into E. coli phospholipid vesicles increased CO 2 permeability to about threefold above background (Prasad et al. 1998). Mercury chloride blocked this increase in CO 2 permeability, and βmercaptoethanol reversed the blockade. More recently, the senior author of that paper seems to have distanced himself from the conclusion that CO 2 moves through AQP1 (Missner et al. 2008b).
Work with nitric oxide. Herrera and colleagues (Herrera et al. 2006;Herrera & Garvin, 2007) demonstrated that AQP1 can also transport nitric oxide (NO). Moreover, they provided evidence that AQP1-mediated NO efflux from vascular endothelial cells, as well as AQP1-mediated NO influx into smooth-muscle cells, contributes to the full effect of endothelium-dependent vasorelaxation.

A second family of gas channels: the Rhesus (Rh) proteins
The first indication of a biological role of Rh proteins, namely, in facilitating the uptake of 'nitrogen' , came from the observation that Amt ('ammonium transporter' in E. coli) and Mep ('methylammonium permease' in Saccharomyces cerevisiae) are essential for growth of microorganisms on a medium with NH 4 Cl as the sole nitrogen source (Fabiny et al. 1991;Marini et al. 1994). Marini et al. (1997) recognized that the mammalian Rh proteins are homologous to Mep and Amt in yeast, bacteria and simple plants. They also showed that transfecting Mep-deficient yeast with human Rh proteins restored growth in a medium containing low ammonium (Marini et al. 2000). Following these critical advances, functional studies led to some discussion about whether the transported species is NH 3 , NH + 4 , or both (see Bakouh et al. 2006). A key development in 2004 was the nearsimultaneous determination by two groups of the X-ray crystal structure of the bacterial AmtB, which proved to be a homotrimer (Khademi et al. 2004;Zheng et al. 2004). The structural data strongly suggested that it is NH 3 , not NH + 4 , that passes through the pore in each of the three AmtB monomers. Crystal structures are now also available for the AmtB-GlnK complex (Conroy et al. 2007), the fungal Amt-1 (Andrade et al. 2005), the bacterial Rh50 ) and the human RhCG (Gruswitz et al. 2010).
Mammal Rh proteins include three erythroid proteins (RhAG, RhCE and RhD) and two non-erythroid proteins (RhBG and RhCG). Like the invertebrate Rh homologues, human RhCG is a homotrimer (Gruswitz et al. 2010). Moreover, an analysis of the crystal structure of RhCG, as well as of the homology of the proteins, has led to the prediction that erythroid Rh complexes are likely to be based on a template of an RhAG homotrimer, with contributions from RhCE and RhD (Gruswitz et al. 2010), thereby generating the experimentally determined macroscopic ratio of about 2 RhAG: 1 RhCE: 1 RhD (Eyers et al. 1994).
The non-erythroid Rh proteins, RhCG and RhBG, are found in a variety of mammalian tissues, including liver, lung, stomach, gastrointestinal tract and kidney (Liu et al. 2001;Eladari et al. 2002;Quentin et al. 2003;Nakhoul & Hamm, 2004;Handlogten et al. 2005;Weiner, 2006;Han et al. 2009). In the kidney, both RhBG and RhCG are present (Liu et al. 2000(Liu et al. , 2001Marini et al. 2000;Eladari et al. 2002;Verlander et al. 2003;Bakouh et al. 2006;Ripoche et al. 2006; in both the α-intercalated cells and the principal cells of the collecting duct (CD). Here, NH 3 secretion into the lumen (in parallel with the extrusion of H + into the tubule lumen to lead to the formation of NH + 4 ) plays an important role in urinary 'H + ' excretion and thus in the control of systemic pH. While RhBG is confined to the basolateral membranes (Eladari et al. 2002;Quentin et al. 2003;Verlander et al. 2003), RhCG is present in both the basolateral and apical membranes Seshadri et al. 2006;Kim et al. 2009). Supporting the hypothesis that RhCG is important for NH 3 secretion by the CD are the following observations: (1) RhCGknockout mice cannot normally acidify the urine (Biver et al. 2008); and (2) a CD-specific RhCG knockout exhibits depressed basal NH + 4 excretion as well as an impaired increment in NH + 4 excretion in response to an acid load . A specific knockout of RhCG in only the intercalated cells of the CD produces a less severe deficit in NH + 4 excretion (Lee et al. 2010). The erythroid Rh complex is clinically important for blood transfusions as well as for the incompatibility that can arise between RhD-negative mothers and their RhDpositive fetuses (see Colin et al. 1991). The first identified function of the erythroid Rh complex was as a conduit for NH 3 (Ripoche et al. 2004(Ripoche et al. , 2006Bakouh et al. 2006;Musa-Aziz et al. 2009a). In addition, evidence has accumulated that the Rh complex, or simply RhAG, serves as a pathway for CO 2 (Ripoche et al. 2006;Endeward et al. 2008;Musa-Aziz et al. 2009a). It will be interesting to see whether the Rh complex conducts other gases, such as O 2 and NO.

Use of surface-pH measurements to study gas transport
Background. As part of another project, Raif Musa-Aziz was monitoring the surface pH (pH S ) of oocytes with a polished liquid-membrane mini-electrode (tip diameter ∼20 μm) that she pushed up against the oocyte, dimpling the membrane slightly. She found that applying CO 2 /HCO − 3 in the extracellular fluid causes a predictable pH S transient that is similar to the pH o waveform reported long before by De Hemptinne & Huguenin (1984) in their studies on skeletal muscle. As shown in the main portion of Fig. 6, the influx of CO 2 creates, near the outer surface of the cell membrane, a decline of [CO 2 ] that both provides a gradient for CO 2 diffusion from the bulk extracellular fluid and, at the cell surface, drives the net reaction HCO − 3 + H + → H 2 CO 3 → CO 2 + H 2 O. The orange record in Fig. 6, for a water-injected oocyte, shows that introducing CO 2 /HCO − 3 causes pH S to rise abruptly to a peak that presumably coincides with the maximal rate of CO 2 entry (Musa-Aziz et al. 2009a). We define the maximal magnitude of this peak as pH S . The slow pH S decay occurs as CO 2 equilibrates across the membrane (in Fig. 2 we saw the pH i consequences of such a slow CO 2 equilibration). The green trace in Fig. 6 shows similar results for an oocyte expressing AQP1. Since the pH S spike reflects the maximal CO 2 influx, these experiments confirm that AQP1 serves as a conduit for CO 2 .
Exposing a cell to NH 3 /NH + 4 causes an opposite series of pH S changes, as first observed by Chesler in his pH o measurements of lamprey neurons (Chesler, 1986). As illustrated in the main portion of Fig. 7, the influx of NH 3 triggers a decline of [NH 3 ] S that both drives NH 3 diffusion from the bulk extracellular fluid and, at the cell surface, drives the net reaction NH 3 + H + → NH + 4 . The orange record in Fig. 7, for a water-injected oocyte, shows that introducing NH 3 /NH + 4 causes pH S to fall abruptly to a nadir that presumably coincides with the maximal rate of NH 3 entry (Musa-Aziz et al. 2009a). The green trace in Fig. 7 shows similar results for an oocyte expressing AQP1, and confirms that AQP1 also provides a pathway for NH 3 .
These experiments show that it is rather easy to extract from pH S transients a semi-quantitative index of maximal CO 2 or NH 3 flux, which translates to a semi-quantitative index of macroscopic permeability. In principle, this pH S approach could work with any neutral weak acid or base. Indeed, when Musa-Aziz and colleagues (Musa-Aziz et al. 2009a) exposed oocytes to butyrate/butyric acid, they The influx of CO 2 not only causes a fall of pH i but also a transient rise of pH S . The two inset pH S records at the top right come from oocytes injected either with water or with cRNA encoding human AQP1, measured with liquid-membrane pH-sensitive microelectrodes that initially just touched the membrane surface and then were advanced an additional ∼40 μm. Data are from Musa-Aziz et al. (2009a). Exp Physiol 95.12 pp 1107-1130 observed pH S transients like those triggered by CO 2 in Fig. 6, except that AQP1 did not enhance permeability to butyric acid. However, by way of caution, I point out that it will not be trivial to extract the membrane permeability to CO 2 or butyric acid or NH 3 from pH S transients. Colleagues at my home institution (Daniela Calvetti and Erkki Somersalo from the Department of Mathematics, as well as Rossana Occhipinti, who joined our group after completing her PhD with the Calvetti-Somersalo group) have modelled the system as a spherical cell in which reaction and diffusion processes occur simultaneously. The model seems to be reasonable from the perspective of pH i measurements. However, it is clear that the pH S electrode creates a special environment that accentuates pH S transients and that more modelling will be required for a quantitative understanding of the physiology within this special environment.

Handling of NH 3 by oocytes.
I have already noted that the plasma membrane of Xenopus oocytes is unusual (see section 'The plasma membrane of Xenopus oocytes'), with oocytes responding to the application of high NH 3 /NH + 4 levels (e.g. 10-20 mM) with a paradoxical fall in pH i , but to low NH 3 /NH + 4 levels with little change in pH i . Musa-Aziz and colleagues re-examined this issue using, in addition to pH i , both pH S and NMR methods, and the new data led to the following conclusions, which are quite surprising (Musa-Aziz et al. 2009c  oocyte, nearly all NH 3 appears to be sequestered as NH + 4 , presumably in acidic compartments. (5) The removal of extracellular NH 3 /NH + 4 merely terminates, for the most part, the influx of NH 3 ; it does not, over the period of our observation, produce a large, symmetrical efflux of NH 3 . (6) A hypothetical, extracellular, low-affinity sensor for NH 3 or NH + 4 (perhaps an adaptation that allows oocytes to survive in pond water that contains decaying organic matter) could trigger the aforementioned production of intracellular H + .
Gas selectivity. Armed with the pH S approach summarized in Figs 6 and 7, Musa-Aziz and colleagues embarked on a series of experiments in which they injected oocytes with either water or cRNA encoding AQP1 (expressed at high levels in RBCs), AQP4 (highly expressed in the blood-brain barrier), AQP5 (highly expressed in alveolar type I pneumocytes), AmtB, RhAG (RBCs) or other membrane proteins. Later, they sequentially measured in each oocyte the pH S evoked by CO 2 /HCO − 3 , the pH S evoked by NH 3 /NH + 4 and the osmotic water permeability. By comparing the data from oocytes expressing channels with data from day-matched waterinjected control cells, they were able to obtain the following channel-dependent values (designated by * ) for each oocyte: ( pH * S ) CO 2 , ( pH * S ) NH 3 and P * f . The eight panels in Fig. 8 show representative examples of CO 2 -and NH 3 -evoked pH S transients for oocytes expressing various membrane proteins. In each case, we first exposed the oocyte to 5% CO 2 /33 mM HCO − 3 at a fixed pH o of 7.50 (left side of panel), then removed the CO 2 /HCO − 3 (not shown), and then exposed the same oocyte to 0.5 mM NH 3 /NH + 4 at pH o 7.50 (right side of panel). In each of the first three panels (Fig. 8A-C), we show three records (obtained on the same day from a single batch of oocytes), one from a water-injected control oocyte (the same one in each panel), one from an oocyte expressing AQP1 (again, the same oocyte in each panel) and one from an oocyte expressing the Na + -glucose cotransporter SGLT1 (Fig. 8A) or the Na + -K + -2Cl − cotransporter NKCC2 (Fig. 8B) or the H + -oligopeptide cotransporter PepT1 (Fig. 8C). For each of the three cotransporter oocytes, the pH S record is indistinguishable from that of the water-injected control oocyte, and exhibits a pH S that is substantially less than the AQP1 oocyte. Mean data from the larger study confirm this conclusion. Thus, not every membrane protein is a gas channel.
The next group of five panels (Fig. 8D-H) shows the results of experiments on five putative gas channels, each compared with a day-matched water-injected control oocyte. Mean data from the larger study confirm the impression conveyed by these five panels. In response to the application of CO 2 /HCO − 3 , all five wild-type channels produce pH S values that are significantly larger than those of their day-matched controls. Likewise, in response to the application of NH 3 /NH + 4 , AQP1, AmtB and RhAG all produce pH S values that are significantly larger than those of their day-matched controls. However, AQP4 (Fig. 8E) and AQP5 (Fig. 8F) show no significant permeability to NH 3 . Also, mutations to AmtB (Fig. 8G) and RhAG (Fig. 8H) that are known to render them inactive also reduce ( pH * S ) CO 2 and ( pH * S ) NH 3 to values that are indistinguishable from those of water-injected oocytes.
Because each oocyte yielded values for ( pH * S ) CO 2 , ( pH * S ) NH 3 and P * f , it is possible to get a sense of the relative permeability of each channel to each substance. Figure 9 summarizes the mean channel-specific pH S values for CO 2 (Fig. 9A) and NH 3 (Fig. 9B) as well as the channel-specific P f values (Fig. 9C). Note that neither AmtB nor RhAG had any significant water permeability (not shown).
If we now, oocyte by oocyte, divide the ( pH * S ) CO 2 value that contributes to Fig. 9A by the P * f value that contributes to Fig. 9C, we arrive at a relative index of CO 2 , normalized to the H 2 O permeability of the three AQPs (turquoise bars in Fig. 10A). We see that AQP5 has the highest CO 2 /H 2 O permeability ratio by about a factor of two, with AQP1 and AQP4 following.
Likewise, if we divide the ( pH * S ) NH 3 value that contributes to Fig. 9B by the P * f value that contributes to Fig. 9C, we arrive at a relative index of NH 3 versus H 2 O permeability for the three AQPs (pea-green Oocytes were injected with either water or cRNA encoding the indicated membrane protein, and then superfused with physiological saline at pH 7.5. The pH S was monitored as outlined in Figs 6 and 7. For each oocyte, CO 2 /HCO − 3 was introduced (left half of each panel), washed out (not shown), and then NH 3 /NH + 4 was introduced (right half of each panel). A-C show that AQP1 but not three transporters can support the pH S transients. D-H show that AQP1, AQP4, AQP5, AmtB and RhAG can each transport CO 2 , but only AQP1, AmtB and RhAG can transport NH 3 . Data are from Musa-Aziz et al. (2009a). The semi-quantitative index of maximal CO 2 flux,( pH * S ) CO 2 , is the maximal rise in pH S ( pH S ) in oocytes expressing a channel, less the mean pH S of day-matched control oocytes (i.e. water-injected oocytes). The semi-quantitative index of maximal NH 3 flux, ( pH * S ) NH 3 , is the greatest extent of the fall in pH S ( pH S ) in oocytes expressing a channel, less the mean pH S of day-matched control oocytes (i.e. water-injected oocytes). The value of ( pH * S ) NH 3 is not significantly different from zero for either AQP4 or AQP5. P f * is the analogous figure for osmotic water permeability. Note that neither AmtB nor RhAG significantly conducted water. Data are from Musa-Aziz et al. (2009a). bars in Fig. 10A). We see that AQP1 has the highest NH 3 /H 2 O permeability ratio; those for AQP4 and AQP5 are essentially zero because neither has a statistically significant NH 3 permeability. At the other extreme, AmtB Exp Physiol 95.12 pp 1107-1130 and RhAG, for which the H 2 O permeability is negligible, have NH 3 /H 2 O ratios approaching infinity.
Finally, if we divide the ( pH * S ) CO 2 value that contributes to Fig. 9A by the ( pH * S ) NH 3 value that contributes to Fig. 9B, we arrive at a relative index of CO 2 versus NH 3 permeability for all five channels (Fig. 10B). Since the mean ( pH * S ) NH 3 values for AQP4 and AQP5 do not statistically differ from zero, their ratios are essentially infinity, followed by AQP1, which has a ratio about threefold greater than for AmtB, which in turn has a ratio about twice that of RhAG.
Note that ( pH * S ) CO 2 and ( pH * S ) NH 3 are each semiquantitative indices of permeability, not permeabilities themselves. Thus, the ratios in Fig. 10 are relative indices of channel permeability, not permeability ratios per se. Nevertheless, we obtained all values (and continue to obtain values on other AQPs and Rh proteins) in standard conditions, so that it is meaningful to compare values for the different channels. Ongoing mathematical modelling may eventually yield estimates of absolute permeabilities from pH S data.

Mechanism of CO 2 and NH 3 permeation through the
AQPs and Rh proteins. The data in Figs 8-10 represent the first demonstration of gas selectivity by membrane proteins. An obvious and important question is, 'What is Figure 10. Mean values of ( pH * S ) CO 2 and ( pH * S ) NH 3 normalized to P f * (A) and mean values of ( pH * S ) CO 2 normalized to ( pH * S ) NH 3 (B) The values in A were obtained by dividing the values of ( pH * S ) CO 2 and ( pH * S ) NH 3 for each oocyte by the value of P f * . These ratios are semi-quantitative indices of CO 2 /H 2 O permeability ratios and the NH 3 /H 2 O permeability ratios. The values in B were obtained by dividing the values of ( pH * S ) CO 2 for each oocyte by the value of ( pH * S ) NH 3 . These ratios are semi-quantitative indices of CO 2 /NH 3 permeability ratios. Since ( pH * S ) NH 3 was not statistically different from zero for AQP4 and AQP5, the NH 3 /H 2 O ratios for these channels should not be different from zero. Likewise, the CO 2 /NH 3 ratios are theoretically infinite. Data are from Musa-Aziz et al. (2009a). the molecular basis for this selectivity?' Obviously, the size of the transported substance, relative to the size of the pore through which it travels, must be important. However, chemistry must also play a key role. Recall that H 2 O and NH 3 have similar dipole moments and that both have tetrahedral electronic structures (compared with H 2 O, NH 3 has a proton in place of one lone pair of electrons). Thus, we should not be surprised if sometimes H 2 O and NH 3 behave in a similar manner. Carbon dioxide, in contrast, is a linear molecule (O=C=O) with no dipole moment but a quadrupole moment, due to residual negative charge at each oxygen. Thus, CO 2 is much less hydrophilic than H 2 O or NH 3 . Oxygen, which has no charge separation, is far more hydrophobic.
Regarding the chemistry of the proteins, X-ray structures show that the four monomeric aquapores of AQP1 (Murata et al. 2000;Sui et al. 2001), for example, have both hydrophilic and hydrophobic surfaces. However, the central pore at the fourfold axis of symmetry is mainly hydrophobic. Molecular dynamic simulations (Tajkhorshid et al. 2002) suggest that the H 2 O molecules move single file through the aquapore, backing into the pore oxygen-first, flipping orientation near the overlapping asparagine-proline-alanine (NPA) motifs at the centre of the aquapore, and then emerging oxygen-last from the pore. Other molecular dynamic simulations suggest that CO 2 can move single file through an aquapore, interposed between H 2 O molecules (Wang et al. 2007). However, these simulations predict that CO 2 , and particularly O 2 , would move far more readily through the central pore. Since, in the absence of dissolved gases, this central pore is predicted not only to be large enough to accept CO 2 but also to be empty (i.e. a vacuum), the central pore could be a highly efficient gas channel. Note that the mobility of CO 2 in the gas phase (∼1.0 × 10 −1 cm 2 s −1 at 20 • C; see Weast, 1978) is about four orders of magnitude greater than through water (∼1.8 × 10 −5 cm 2 s −1 at 20 • C; see Tamimi et al. 1994).
The three monomeric NH 3 pores of a homotrimer in the Rh family have a generally hydrophobic character (Khademi et al. 2004;Zheng et al. 2004;Khademi & Stroud, 2006;Gruswitz et al. 2010), but with a conserved antiparallel pair of His residues at the centre. A peculiarity is that the openings to the NH 3 pores are guarded by residues that apparently attract NH + 4 . Thus, the hypothesized mechanism of transport is that an NH + 4 ion from the bulk solution approaches the mouth of the pore and dissociates. The H + would diffuse back into the bulk solution, whereas only the NH 3 would enter the predominantly hydrophobic NH 3 pore. Upon exiting from the opposite end of the pore, the NH 3 would combine with an H + ion (which would diffuse in from the bulk fluid), and the nitrogen would diffuse into the bulk fluid as NH + 4 . We have been gaining some insight into the mechanism of gas transport by using inhibitors. Preliminary work by Musa-Aziz and colleagues on AQP1 suggests that the mercurial pCMBS, which is known to inhibit H 2 O transport, also reduces ( pH * S ) CO 2 by ∼40% and eliminates NH 3 permeability (Musa-Aziz et al. 2007a,b, 2008, 2009b. The C189S mutant of AQP1 is immune to these effects of pCMBS. Also with AQP1, we find that DIDS has no effect on either H 2 O or NH 3 permeability, but reduces ( pH * S ) CO 2 by ∼60%. These effects of DIDS persist after scavenging with albumin, consistent with the idea that the DIDS reacts covalently with the AQP1. The DIDS blockade is also unaffected by the C189S mutation. The combination of pCMBS and DIDS reduces ( pH * S ) CO 2 by ∼100%. Thus, the two inhibitors act on separate pathways that, together, account for all of the CO 2 permeability of AQP1. One pathway, accounting for all H 2 O and NH 3 transport, and ∼40% of the CO 2 , is the monomeric aquapore. Although the other pathway is yet to be established, a reasonable candidate is the central pore.
In the case of AQP4, preliminary data from Musa-Aziz et al. (2007b) suggest that DIDS blocks nearly all CO 2 permeability, but again none of the H 2 O permeability. In the case of AQP5, preliminary work by Musa-Aziz et al. (2007b) and by Qin & Boron (2010) suggests that DIDS blocks ∼75% of the CO 2 permeability, but none of the H 2 O permeability. Thus, it is reasonable to suggest that nearly all CO 2 , and perhaps O 2 as well, moves through an alternative pathway of these AQPs, perhaps the central pore.
In the cases of AmtB and RhAG, we find that the H 2 O permeability is zero (Musa-Aziz et al. 2009a). Moreover, preliminary work from Musa-Aziz shows that DIDS has no effect on the NH 3 permeability, but blocks virtually all CO 2 permeability. Thus, like the AQPs, the Rh proteins seem to have two distinct pathways for gas transport. One pathway is the monomeric NH 3 pore that conducts NH 3 but apparently not H 2 O or substantial amounts of CO 2 . The other pathway is the conduit for CO 2 , and could be the central pore of the Rh proteins. It will be interesting to see whether O 2 moves through the Rh proteins and, if so, whether it follows the same path as CO 2 .

Possible physiological significance of AQPs as gas channels
The first report of a possible physiological role for an AQP as a gas channel came from Uehlein et al. (2003), who reported that an AQP in tobacco plants functions as a CO 2 channel and promotes photosynthesis and plant growth.

Roles of AQP1 and Rh complex in RBCs.
After the Cl − -HCO − 3 exchanger AE1, the second and third most abundant integral membrane proteins in the mammalian erythrocyte are AQP1 and the Rh complex. In 2006, Endeward and colleagues reported work in which they used 18 O-labelled HCO − 3 to study the CO 2 permeability of wild-type (WT) versus AQP1-null human RBCs (Endeward et al. 2006). They found that CO 2 permeability was reduced by ∼60% in the AQP1-null RBCs, and that these cells were insensitive to pCMBS. The combination of the absence of AQP1 and the presence of DIDS (which we now appreciate, as noted above, blocks the remnant CO 2 permeability mediated by the Rh complex) reduced CO 2 permeability by ∼95%. Thus, at most 5% of the CO 2 could move through the lipid of the plasma membrane.
In 2008, Endeward and colleagues published the complementary work on Rh-null human RBCs (Endeward et al. 2008). They found that the absence of the Rh complex reduced the CO 2 permeability by nearly half. This observation supports the conclusion from the previous paragraph; nearly all CO 2 movement through the RBC membrane is mediated by either AE1 or the Rh complex.
In the pulmonary capillary bed, CO 2 comes to diffusion equilibrium between the blood and the alveolar air about one-third of the way along the pulmonary capillary. It is possible that, with the increase in cardiac output that accompanies maximal exercise, the contact time of RBCs with pulmonary capillaries would be sufficiently reduced as to decrease the offloading of CO 2 in the absence of AQP1 and/or the Rh complex, resulting in metabolic acidosis. In principle, the body could compensate by increasing alveolar ventilation, though at the cost of increased work. Another potential role of the channels in RBCs would be as conduits for O 2 . During exercise, the absence of the gas channels could lead to a net reduction in O 2 uptake by the end of the pulmonary capillary, causing arterial hypoxaemia, which in turn could limit aerobic exercise.
Effect of AQP1 knockout on exercise. In preliminary work by Xu et al. (2010), we have examined voluntary exercise on activity wheels in WT and AQP1-null mice. Wild-type mice that have never seen a wheel typically run 10-12 km day −1 in the absence of any resistance on the wheel. Over a wide range of ambient O 2 levels in the absence of resistance, the distance run by knockout mice is reduced by ∼40% compared with WT mice.
Key unanswered questions are whether this exercise deficit is partly overcome by raising ambient [O 2 ], and whether AQP1 specifically in RBCs plays a role.
Possible role of AQP1 in zebrafish swimbladder. We recently cloned AQP1a from zebrafish (Chen et al. 2010), finding that the protein is most highly expressed in RBCs, the swimbladder, and in regions of the avascular retina that correspond to the portions of the photoreceptor cell that contains mitochondria.
During the period immediately after making the transition from embryo to larva, the zebrafish has poorly Exp Physiol 95.12 pp 1107-1130 developed gills, and inflates its swimbladder (connected to the oesophagus by a pneumatic duct) by gulping air. In unpublished work, Nick Courtney finds that if he replaces room air with 100% N 2 between 3 and 10 days postfertilization, then at day 10, the '100% N 2 ' fish have a dry mass that is ∼25% less than their room-air littermates. These data are consistent with the hypothesis that, at least during this part of the zebrafish life, the swimbladder functions as a respiratory organ. We are extending these experiments to several combinations of [O 2 ] in the water and gas phases, and hope to be able to repeat the work with AQP1a-null zebrafish.

Role of AQP1 in HCO −
3 reabsorption by the renal proximal tubule. One of the major tasks of the renal proximal tubule (PT) is to reabsorb (i.e. to move from lumen to blood) ∼80% of the HCO − 3 filtered at the glomerulus. More distal portions of the nephron reabsorb the remainder of the filtered HCO − 3 . As outlined in Fig. 11, the cells of the PT secrete H + into the tubule lumen using both the Na + -H + exchanger NHE3 and a vacuolartype H + pump at the apical membrane. Once in the lumen, the H + titrates HCO − 3 to form H 2 O and CO 2 , catalysed by carbonic anhydrase IV (CAIV), which is linked to the apical membrane. The secreted H + also titrates weak bases other than HCO − 3 , such as NH 3 and inorganic phosphate. The titration of these other weak bases removes from the body the H + that accumulates in the body as the result of metabolism and the ingestion of acidic foodstuffs. The newly formed CO 2 and H 2 O enter the cell, where they recombine to form H + and HCO − 3 , catalysed by the soluble enzyme CAII. The cell exports the H + across the apical membrane to the lumen as noted above, and uses the electrogenic Na + -HCO − 3 cotransporter NBCe1-A to move the HCO − 3 across the basolateral membrane and into the interstitial space, which is in contact with the blood. Let us return now to the H 2 O and CO 2 formed in the lumen. The vast majority of the reabsorbed H 2 O moves across the apical and basolateral membranes through AQP1 (Schnermann et al. 1998;Vallon et al. 2000). Preliminary data by Zhou et al. (2006) show that the maximal HCO − 3 reabsorption rate is reduced by ∼60% in PTs from AQP1-null mice compared with WT mice. Alan Verkman generously provided the AQP1-null mice.
In additional experiments, Zhao et al. (1995) perfused the tubule lumen with a CO 2 /HCO − 3 -free solution and then used out-of-equilibrium solution technology to present to the basolateral solution either HCO − 3 in the absence of CO 2 or CO 2 in the absence of HCO − 3 , always at pH 7.40. They found that with only HCO − 3 in the bath, the 'carbon backflux' from bath to lumen was identical in AQP1-null versus WT tubules (Zhou et al. 2006). However, with only CO 2 in the bath, the 'carbon backflux' from bath to lumen was ∼60% lower in AQP1-null versus WT tubules. Thus, AQP1 seems to be required for ∼60% of the transepithelial CO 2 permeability of the PT.
If this AQP1-dependent CO 2 permeability is physiologically important, we might predict that AQP1null mice distal nephron segments, in the absence of a challenge to their acid-base status, would compensate for the deficit in PT function, and that the AQP1-null mice would have a more-or-less normal arterial pH. However, we might also predict that in the face of a chronic metabolic or respiratory acidosis, the AQP1-null mice would be unable to adapt further, and thus would exhibit a low arterial pH relative to WT mice.

Scrutiny
The gas-channel hypothesis, if correct and if it proves to be physiologically important, would represent a major paradigm shift. Thus, it is healthy that this emerging paradigm be held up to close examination.
A view from stopped-flow and mice. An early analysis of the gas-channel hypothesis revolved around the following three types of experiments (Yang et al. 2000;Fang et al. 2002): (1) stopped-flow analysis of WT versus AQP1null RBCs; (2) stopped-flow analysis of liposomes with or without reconstituted AQP1; and (3) the uptake of CO 2 by artificially ventilated lungs of WT versus AQP1-null mice. As previously discussed (Cooper et al. 2002), the RBC stopped-flow experiments yielded values for CO 2 permeability that were at least one order of magnitude smaller than those of earlier workers, and was probably due to inadequate mixing in the stopped-flow apparatus, generating large unstirred layers. This same limitation probably applied to the liposomes. In both cases, it would have been difficult to detect the CO 2 permeability of AQP1. In the mouse-lung experiments (no doubt a technical feat), the introduction of CO 2 into the inspired air led to the expected increase in arterial partial pressure of CO 2 . However, the half-time for the rise in arterial CO 2 partial pressure (∼2 min) was far slower than what we would have expected for the wash-in of CO 2 into the alveoli. Thus, it would have been difficult to detect an effect of AQP1 on CO 2 permeability.
A view from artificial bilayers. More recently, in a series of physical chemistry papers by Missner and colleagues (Missner et al. 2008a,b;Missner & Pohl, 2009), the authors, who studied artificial planar lipid bilayers, concluded that 'Overton continues to rule' . Their twofold argument, in brief, is as follows. (1) The unstirred layers enveloping a membrane are so large that their aggregate resistance dominates the macroscopic resistance to the diffusion of a substance such as CO 2 from one bulk aqueous solution, through the membrane, to another bulk aqueous solution. Stated somewhat differently, the resistance offered by the membrane is simply too small to be significant.
(2) The membrane lipid has such a high gas (e.g. CO 2 ) permeability that the presence of a protein channel could not enhance the flux. My sense is that the aforementioned experimental work of Missner and colleagues is basically correct, as are the conclusions that narrowly flow from that work. Where we differ is on the application of general principles to real biological membranes; problems of series and parallel resistances.
We have already introduced the importance of unstirred layers, which represent a resistance to diffusion in series with the membrane lipid (see section 'Overton's rule'). If one were to set up experimental conditions with increasingly large unstirred layers, it would become increasingly difficult to detect the contribution of the membrane. One could compound matters by choosing a membrane with a low baseline resistance to gas diffusion. This is the situation that prevails when working with planar artificial lipid bilayers: large unstirred layers (100-200 μm) and membranes composed only of lipids and, at that, lipids with high intrinsic permeabilities to gases such as CO 2 . In such a system, the membrane makes an insignificant contribution to macroscopic CO 2 resistance, independent of the presence of gas channels or the validity of Overton's rule. This is the problem of the series resistance. It will be difficult for the experimenter to detect the action of gas channels unless the unstirred layers are sufficiently small relative to the resistance of the membrane with or without the channel. Since biological unstirred layers are generally tiny where they count (e.g. surrounding the RBC membrane, from alveolar air to pulmonary capillary blood), the series resistance is not a problem for physiology, but rather for physiologists trying to make measurements.
Even if one were to reduce the aggregate unstirred layer by a couple orders of magnitude to mimic the conditions faced, for example, by mammalian RBCs or the proximal-tubule apical membrane, gas channels could not enhance permeability if embedded in a sea of highly permeable lipid. Indeed, as noted by Tajkhorshid and colleagues (Wang et al. 2007), molecular-dynamics modelling suggests that introducing AQP1, or presumably any protein, into a membrane made of palmitoyloleoyl-phosphatidylethanolamine would decrease overall membrane permeability owing to the high permeability of the lipid per se. This is the problem of parallel resistance. A gas channel cannot enhance permeability unless the lipid surrounding the channel is relatively tight.
Thus, in order for a gas channel to enhance the permeability of a membrane to CO 2 , ignoring unstirred layers, the surrounding lipid must be exceptionally tight. I suspect that this is almost never the case in artificial systems, and it may not be the rule even in living organisms. Thus, even though Overton's rule is overly simplistic from a biophysics perspective, the classical notion that gases diffuse through the lipid phase of the membrane is probably valid for many cell membranes, but not all.
Where might gas channels make sense? As outlined previously (Cooper et al. 2002) they might make sense in the following conditions.
• When the background or intrinsic permeability of the membrane lipid is low. This is a sine qua non, which is why I devoted attention to the access-solubilitydiffusion-protein-egress hypothesis. Several biological membranes probably fit the bill. Candidates might include any membrane that faces a physical or chemical environment that is sufficiently hostile as to require a robust membrane. Erythrocytes and Xenopus oocytes come to mind. Perhaps the quintessential membranes in this regard are the ones that got us thinking outside the box about gas transport in the first place, the apical membranes of gastric glands, but these certainly lack gas channels. Another fertile recruiting ground might be membranes that are required to withstand large chemical or electrical gradients. Apical membranes of certain epithelia (e.g. renal collecting ducts) and the mitochondrial inner membrane are possibilities. • When the gas gradient is small. Examples might be the influx of CO 2 from air (0.03% CO 2 ) into plant cells, or from tissues into systemic capillaries. • When the required gas flux is high. Examples would be the alveolar-capillary barrier in the lung, the RBC membrane and the apical membrane of proximal tubules.
The second and third bullet points merely restate eqn (5).
One conclusion to be drawn from the above analysis is that those wishing to study gas channels must use an experimental system that has a favourable combination of small unstirred layers, a low background permeability of membrane lipids and a high expression level of the channel. There are no absolutes; one can overcome the disadvantages of a somewhat larger unstirred layer if the intrinsic permeability of the membrane is sufficiently low, as seems to be the case in the Xenopus oocyte.

Concluding remarks
Long before the first evidence for gas movement through channels, the discovery of water channels represented a major milestone in membrane biology. Moreover, certain members of the AQP family can, in addition to water, transport small organic molecules, such as glycerol and urea (Murata et al. 2000;Sui et al. 2001). If gas transport through the AQPs proves to be physiologically relevant, this fact would further underscore the importance of the AQP family.
One should not view H 2 O and CO 2 movement through AQP1, AQP4 or AQP5 as an either-or issue, although one could imagine that a cell could independently gate the monomeric aquapores and the alternative CO 2 pathway (e.g. central pore). If we will ignore this possibility for the moment, then (if gas permeation proves to be physiologically important) the major physiological contribution of an AQP would depend on its anatomical context.
At one extreme, AQP2 in the renal collecting duct, for example, might conduct CO 2 , but presumably that function would be of minor significance compared with the impact on water homeostasis.
At the other extreme, it is not clear why the H 2 O permeability per se of AQP1 confers an advantage in the mission of an erythrocyte, which has evolved to carry CO 2 and O 2 efficiently. On the contrary, it is possible that a high RBC H 2 O permeability would render the cell vulnerable to rapid shrinkage as the RBC flows deep into the hypertonic renal medulla. Perhaps this selective pressure led to the presence of urea transporters to reduce the reflection coefficient and thereby minimize volume changes.
In the middle of this spectrum might be AQP1 in the apical membrane of the renal proximal tubule. Here the AQP1 is necessary for the high H 2 O permeability that allows the PT to reabsorb large volumes of essentially isotonic saline. However, the AQP1 also appears to be responsible for 60% of the CO 2 permeability that is necessary for HCO − 3 reabsorption. In the brain, the membrane of the astrocytic endfeet that envelop blood vessels contains semi-crystalline arrays of AQP4 that occupy about one-third of the total membrane surface area. Knocking out the AQP4 reduces the osmotic water permeability of the blood-brain barrier by ∼90% and renders the mice more resistant to the cerebral oedema that occurs following a model of stroke (Manley et al. 2000). Might AQP4 contribute to the CO 2 flux across the blood-brain barrier? It is interesting to recall that AQP4 has a negligible permeability to NH 3 , which is neurotoxic.
In principle, AQP5 in the lung could serve as a pathway for CO 2 across the apical membranes of the type I alveolar pneumocytes.
The discovery that the Rh proteins conduct NH 3 and CO 2 provides a function for the erythroid Rh complex that heretofore has had only a pathological role.
Finally, what advantages might gas channels provide?
• When the background gas permeability of a membrane is low, channels would enhance flux. • Channels would allow cells to display selectivity for particular gases. • Channels would allow cells to regulate gas permeability.
• Although not an advantage to the cell per se, an advantage to the scientist or physician is that gas channels could make gas permeability amenable to selective pharmacological intervention.
Thus far, the only gases of relevance to mammals that have been studied in the context of gas channels are CO 2 , NH 3 and NO. Conspicuous by its absence from this list is O 2 . Moving forward, it will be important to make progress on the following four fronts: (1) extending the work to O 2 as well as CO, N 2 and other gases; (2) understanding the molecular mechanism of gas transport and selectivity by AQP and Rh channels; (3) determining whether cells can gate or otherwise regulate gas channels; and (4) testing the physiological relevance of gas transport through channels.

References
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