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Department of Physiology, University College London, London, United Kingdom
Correspondence: Address reprint requests to Jonathan Ashmore, Dept. of Physiology, UCL, Gower St., London WC1E 6BT UK. Tel.: 44-207-679-6080; E-mail: j.ashmore{at}ucl.ac.uk.
| ABSTRACT |
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to replace Cl. The data was compatible with the predictions of the model, suggesting that prestin does indeed function as a transporter. | INTRODUCTION |
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![]() | (1) |
, Qmax is the maximum charge transferred across the membrane, Vo is the potential at half-maximal charge transfer; z is number of elementary charges, eo, displaced across a fraction,
, of the membrane dielectric; kB is Boltzmann's constant and T is the absolute temperature. ß depends on both the magnitude of the gating charge and the distance moved by it. Experimental data gives values for ß of
0.03 mV1 (5
80% of the membrane field. It has been proposed that this charge movement is coupled with a conformational change of prestin, producing a small change in protein area that is translated into a change in cell length due to the high density of proteins in the membrane (7
Prestin belongs to the recently identified SLC26 family of anion transporters. These transporters are structurally different from the classical SLC4 family of bicarbonate (
) transporters (9
). Currently 10 members of the SLC26 family have been identified, and all members other than prestin have been shown to function as anion exchangers, with varying substrate specificities for a wide range of both monovalent and divalent anions, including chloride (Cl), bicarbonate (
), sulfate (
), iodide (I), hydroxyl ion (OH), oxalate, and formate (reviewed in 10). For example, while SLC26A2 transports both
and Cl (11
), SLC26A4 (pendrin) mediates both Cl/I and Cl/formate exchange but is apparently not capable of transporting
(12
,13
). SLC26A6, which has
56% homology to prestin, is capable of transporting all the above anions (14
,15
,16
) and has been shown to operate as an electrogenic exchanger, exchanging more than one
ion for each Cl ion (16
,17
). However, although prestin possesses all the sequence domains conserved throughout the family, including a sulfate-transport motif (18
), it has not yet been shown to function as an anion transporter. Moreover, neither gating charge movements nor a NLC have been reported for any other member of the SLC26 family, suggesting prestin may have a unique function within the family.
Although prestin has not been shown to transport Cl, the NLC associated with prestin was found to depend upon intracellular chloride, Cli (19
,20
). Thus, as for other members of the SLC26 family, prestin is likely to have at least one Cli binding site. Furthermore, the species of anion used to replace Cl in experimental conditions affects the dependence of the NLC on Cli (21
,22
), suggesting that, like other members of the SLC26 family, prestin can bind a broad range of substrates. At present, there is no consensus about the origin of the NLC and the nature of its dependence on Cli. This is partly a consequence of the contradictory experimental observationsthat the NLC is abolished (19
) or is not abolished (21
) by complete removal of Cli.. However, four key observations made in previous reports are clear:
0.03 mV1.
Theory
All the models presented are described using simple kinetic diagrams, consisting of the intermediate states of the transporter protein (Ei) and transitions connecting these states. Each transition is described by a dielectric coefficient, which reflects the dielectric distance over which charge is translocated during the transition (23
). Briefly, for a reaction step Ei
Ei+1, in which an electric charge qi is translocated across a fraction of the membrane dielectric
i, the dielectric coefficient for the transition,
i is given as
i = qi
i/eo =
i
i, where
i is the magnitude of elementary charge translocated. All voltage-dependent reaction steps are treated as transitions over a symmetric energy barrier.
| MATERIALS AND METHODS |
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Ei+1, Q is given by
![]() | (2) |
i is the dielectric coefficient for the reaction step, kf is the forward transition rate, kb is the backward transition rate, and Pi(t) and Pi+1(t) are occupancy probabilities of the states Ei, and Ei+1, respectively. If there is more than one voltage-dependent step then the total charge moved is the sum of that produced by each step.
The occupancy probabilities of the states from which voltage-dependent transitions occur were found using the spectral expansion of the Q-matrix, a method developed to describe transitions between ion channel states (24
). Q was calculated for each step in a staircase voltage-ramp consisting of 1 mV steps between 200 mV and +200 mV. NLCs were calculated for a cell containing 107 copies of prestin. All simulations were performed in MatLab 6.5 (The MathWorks, Natick, MA).
For a given set of rate constants, NLCs were fitted to published data for [Cli] = 150 mM, 10 mM, 3 mM, and 1 mM and for [Cle] = 0 mM (19
,20
). Rate constants, comparable to those known for equivalent reaction steps in other transporters, were selected subject to two constraints:
![]() | (3) |
VoM and
VoD are the shift in Vo for the model and data, respectively. The value
is the maximum shift found for reduction of [Cli] to 1mM (20
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and sucrose to give the equivalent ionic strength and osmolarity. Accordingly, 70 mM, 74.5 mM, and 75 mM
solutions were used for reduction of Cl to 10 mM, 1 mM, and 0 mM, respectively. All solutions were adjusted to pH 7.27.25 with NaOH and final osmolarity was adjusted to 310315 mOsm with D-glucose. When Cl-free bath solution was used, a 5% agar salt bridge containing 150 mM NaCl was used. Data were corrected for liquid junction potentials, which were calculated offline using a windows version of JPCalc (26
Membrane capacitance recordings
Whole-cell voltage clamp recordings were carried out with 3.54.5 M
resistance electrodes using an Axopatch 200 A patch amplifier (Axon Instruments). All experiments were performed at room temperature (2123°C). Voltage-dependent capacitance measurements were made using a conventional two-phase lock-in amplifier (SR350, Stanford Research, Menlo Park, CA). Command voltage was ramped from 130 mV to 100 mV over 8 s (29 mV s1) to ensure a close approximation to the steady state. The maximum error on NLCs measured with this protocol, which occurs in the type 3 model, was calculated and found to be <2%. Voltage ramps were summed with a 2 kHz, 10 mV sinusoid command. The first ramp was applied 10 s after break-in, to allow time to compensate the capacitive transients and were repeated every 18 s. The output of the lock-in amplifier was sampled at 256 Hz. Series resistance was not compensated, but the effect of series resistance on voltage was corrected offline.
Analysis of NLCs
Data was analyzed using MatLab 6.5. NLC traces were fitted with the derivative of a Boltzmann function, Eq. 1. Because dialysis of cells in whole-cell configuration proceeds exponentially (27
), we fitted the time courses of Vo and Cpk with an exponentially decaying curve and obtained extrapolated values of Vo and Cpk at the instant of break-in (t = 0). The time courses of the shift in Vo from the instant of break-in (
Vo = VoVo(0)), and the relative decrease in Cpk from the instant of break-in (relCpk = Cpk/Cpk(0)) were determined. Paired t-tests were used to test for significant changes in any parameter over time, by comparing the first and last time-point for each cell. In all other cases, two-tailed unpaired student t-tests were used to test for significance. All data are presented as mean ± SD.
| RESULTS |
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![]() | (4) |
![]() | (5) |
E2.Cl) is associated with charge translocation so the step depends on membrane potential (V). The forward and backward rate constants for the transition between the bound states are given by
![]() | (6) |
![]() | (7) |
is the dielectric coefficient. Since all charge movement is provided by the movement of the Cl ion,
= z
where z (= 1) is the valence of the Cl ion, and
is the fraction of the membrane dielectric crossed by the Cl ion.
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is negative. As OHCs elongate upon hyperpolarization, we associate this transition with a conformational change of prestin into an expanded state (8
![]() | (8) |
The Vo of the NLC occurs when half the maximal charge has been transferred. Using Eq. 8, Vo can be calculated as
![]() | (9) |
![]() | (10) |
An alternative nontransporting model of prestin has also been proposed (21
), in which it is suggested that the NLC is generated by an intrinsic voltage-sensor, and the dependence of the NLC on [Cli] is due to an allosteric action of Cl binding to a site, distinct from the voltage-sensing residues. Such a model is illustrated in Fig. 1 E. In this model Qmax and consequently Cpk corresponds to the case that all the prestin molecules are in the state E1 or E1.Cl. As with the first model, this condition can be achieved by increasing the driving force (k1(V) and/or k2(V)) sufficiently, regardless of [Cli]. Therefore, although this model might account for the observed shifts in Vo, it likewise cannot account for the decrease in Cpk observed.
Type 2 models: chloride-transporting mode
It is clear that the previous class of nontransporting models cannot reproduce the key experimental observations (IIV, above). Since prestin belongs to a family of anion exchangers, we have developed a model in which prestin completes a full transport cycle, transporting Cl across the membrane (Fig. 2 A). In this model a Cl ion binds to a binding site facing the intracellular medium, then moves through the membrane to a second site accompanied by a conformational change from where Cl moves to a third site facing the extracellular medium and is released. Finally prestin returns to the inward facing state with no ion bound.
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E2.Cl and E2.Cl
E3.Cl. The binding and unbinding of both Cli and Cle are assumed to be voltage-independent. If the dielectric coefficients for the transitions E1.Cl
E2.Cl and E2.Cl
E3.Cl are
1 and
2, respectively, then the rate constants for the two transitions are
![]() | (11) |
![]() | (12) |
![]() | (13) |
![]() | (14) |
1 = z
1,
2 = z
2 with
1 +
2 = 1, where (z = 1) is the valence of the Cl ion and
1 and
2 are the fraction of the membrane dielectric crossed by the Cl ion in the transitions.
In model simulations, two particular cases were considered. In the first case, the Cl ion crosses 100% of the membrane dielectric in the first transition resulting in one voltage-dependent step (
1 = 1,
2 = 0) and NLCs with ß
0.04 mV1, in poor agreement with the data. In the second case, the Cl ion crosses 80% of the membrane dielectric in the first transition and 20% of the membrane dielectric in the second transition, resulting in two voltage-dependent steps (
1 = 0.8,
2 = 0.2), and NLCs with ß
0.03 mV1 in agreement with the experimental observations. Since the mechanism obeys microscopic reversibility, there are nine independent rate constants for this model. Table 1 shows the range of rate constants tested. With rate constants optimized, the NLC for [Cli] = 150 mM gives Vo = 40 mV, and ß = 0.032 mV1. For all combinations tested, the model produces a decrease in Cpk when [Cli] is reduced if transitions between the inward and outward facing states can occur without Cl bound. No combination of rate constants tested produces a positive shift in Vo.
The origin of the decrease in Cpk can be understood in the following way: when voltage is changed from very negative to very positive potentials, transitions are caused from the state E3.Cl toward the state E1.Cl. This produces the observed charge movement. The maximum possible charge movement occurs if all prestin molecules undergo transitions from the state E3.Cl to the state E1.Cl. When [Cli] is reduced, the equilibrium shifts toward E4 and E3.Cl so the population of E3.Cl is maintained even at very positive potentials. This permits fewer transitions associated with a charge movement. Hence, Cpk is reduced. Since in this model Cl is moved across the membrane by hyperpolarization, a reduction in [Cli] shifts the equilibrium further away from the states E2.Cl and E3.Cl and toward the state E1.Cl. Thus a greater hyperpolarizing driving force is required to produce as much charge transfer, resulting in a negative shift in Vo as [Cli] is reduced. In principle, it is possible to produce a positive shift in Vo with this model, provided that transitions E0
E4 and E2.Cl
E3.Cl are considerably faster than the critical voltage-dependent step, E1.Cl
E2.Cl. In such a case, the equilibrium shifts further toward the state E2.Cl as [Cli] is decreased. However, the required rate constants for the transitions E0
E4 and E2.C
E3.Cl would lie beyond the range we have considered reasonable for a transporter protein.
As expected for a cyclic model, the NLC curve does not asymptote to zero, when [Cli] is low or Cle is removed. This is because the transition E0
E4 prevents the occupancy of any state from fully saturating and permits an incremental charge movement for any further membrane potential change. Furthermore, in zero Cle, the transition E0
E4 causes the equilibrium to shift toward the state E2.Cl at very negative Vm, and leads to charge moving in the opposite direction. This produces a small negative NLC. The asymptotic dependence on [Cli] was not analyzed in further detail because these effects are only observable outside the range of potentials (100 mV to 100 mV) usually measured.
Type 3 models: anion antiporter mode, with intrinsic charge movement
The Cl transporting model shows that in a cyclic model where Cl is fully transported across the membrane, a decrease in Cpk is a consequence of reduced [Cli]. However, none of the previous models, in which the only charge movement is provided by the translocation of a Cl ion, can produce a positive shift in Vo as [Cli] is reduced. Therefore, we adapted the transporter model to include the movement of intrinsic charged residues. Such movement might occur during a conformational change in the protein.
Consider a Cl transporter model, with the same reaction scheme as that shown in Fig. 2 B, but with the movement of Cl accompanied by the movement of intrinsic positively charged residues, so that there is a net movement of positive charge when Cl is transported from the intracellular surface of the membrane toward the extracellular surface. During a complete cycle, the intrinsic charged residues must be returned to their original position, requiring an additional voltage-dependent step. When this is incorporated, the output of the model compares poorly with experimental observations (data not shown).
Since other members of the SLC26 family typically operate as antiporters, and since previous experimental observations have indicated that prestin interacts with a broad range of anions, we considered a model of prestin as an anion exchanger. The key property of this model is that prestin mediates electrogenic exchange, exchanging 1 Cl ion for a divalent anion, X2. In this model, the reorientation of the intrinsic positively charged residues only occurs with X2 bound. This effectively neutralizes the positive charge such that no net charge is moved when X2 is transported across the membrane. Thus, both the translocation of X2 and the reorientation of the intrinsic charged residues are electroneutral and there is no longer any requirement for additional voltage-dependent steps.
Since
has previously been used to substitute for Cl in experiments, we implemented this model explicitly as a
exchanger, exchanging one Cl ion for one
ion (Fig. 3 A). Two possible conformational state assignments are shown in Fig. 3, B and C. Both assignments produce the correct electromotile length-voltage relationship (Fig. 3 E). As with the Cl transporter model it is assumed that the Cl ion crosses the whole membrane dielectric within the two steps E1.Cl
E2.Cl and E2.Cl
E3.Cl. All other transitions are assumed to be voltage-independent.
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E2.Cl and E2.Cl
E3.Cl are
1 and
2, respectively, then the rate constants for the two transitions are the same as those given in Eqs. 912. But since charge movement is provided by the translocation of the Cl ion and intrinsic charged residues
1 = z
1 + µ1 and
2 = z
2 + µ2 with
1 +
1 = 1, where z (= 1) is the valence of the Cl ion,
1 and
2 are the fraction of the dielectric crossed by the Cl ion in the transitions, and µ1 and µ2 are the contributions due to the intrinsic charge movement.
In a single cycle the equivalent of a positively charged ion with a valence of +1 is transferred from inside to outside. Charge conservation requires that
![]() | (15) |
1 = 1,
2 = 0), resulting in NLCs with ß
0.04 mV1. In the second case, the Cl ion and the equivalent of two positively charged residues crosses 80% of the membrane dielectric in the first transition and 20% of the membrane dielectric in the second transition (
1 = 0.8,
2 = 0.2), resulting in NLCs with ß
0.03 mV1. Because this mechanism obeys microscopic reversibility, there are 15 independent rate constants for this model. Table 2 shows the range of rate constants tested.
The
exchanger model produces a decrease in Cpk on reducing [Cli] for all combinations of rate constants. Furthermore, since in this model the Cl is moved across the membrane by depolarization, a positive shift in Vo is also produced. With rate constants optimized, the KD for Cli is 4 mM and the KD for (SO4)i is 100 mM. The NLC produced for [Cli] = 150 mM gives Vo = 43 mV and ß = 0.032 mV1, in agreement with the experimental observations. When [Cli] is reduced to 10 mM or to 1 mM there is both a large positive shift in Vo (by 30.5 mV or 97.9 mV) and a decrease in Cpk (to 42% of max, or 34% of max, respectively) (Fig. 3 C). When Cli is completely removed a significant NLC remains (18% of max), but its Vo is shifted to very positive membrane potential (Vo = 175 mV). There is little effect on the NLC of removing Cle when [Cli] = 150 mM.
By its nature, this model has the latitude to account for the dependence of the NLC on the replacement anion where the replacement anion is divalent. However, the observations (IIV) were also found in experiments where monovalent anions were used to replace Cl (21
,22
). Therefore we tested the behavior of the model with two monovalent anions (A) substituting for
. The two monovalent anions bind in two sequential steps, are transported across the membrane together, and then dissociate in two sequential steps. Since the two anions are transported across the membrane together, this is the charge equivalent of translocating one
anion across the membrane, so the translocation of 2A is electroneutral and produces no charge movement. Like the
exchanger, the Cl/2A exchanger model also produces a decrease in Cpk and positive shift in Vo as [Cli] is reduced.
Replacing chloride with sulfate in whole-cell recordings
Although previous experimental reports have consistently shown that replacing Cli with
produces large positive shifts in Vo, there were discrepancies regarding the effects on Cpk (20
,21
). To compare the quantitative predictions of the
exchanger model with experimental data, additional experiments to test the effect on the NLC of replacing Cli with
were performed.
When cells were patched with 150 mM Cl in the pipette solution, no shift in Vo or decrease in Cpk was observed (Fig. 4 A), suggesting that the [Cli] in the cell before break-in was sufficiently high that any further increase in [Cli] up to 150 mM does not alter the NLC. When cells were patched with a low Cl concentration in the pipette solution there was a positive shift in Vo and a decrease in Cpk, as the ionic concentration in the cell reached the same concentration as in the pipette solution. Steady-state values were reached within 35 mins, consistent with previous reports (21
,22
). Since [Cli] in the cell before break-in produced the same NLC as 150 mM [Cli], these changes were assumed to be identical to those that would be observed for a reduction of [Cli] from 150 mM to the Cl concentration in the pipette solution.
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The model predicts that a considerable NLC will remain if Cli is removed. When cells were patched with Cl-free solution we found a residual NLC (Fig. 5 A). The Cpk of the residual NLC was within two SDs of that predicted by the model (32.4 ± 9.5% of max compared with 25% of max), whereas the shift in Vo was considerably smaller than predicted by the model (by 81.7 ± 9.8 mV compared with a predicted 218 mV). These measured values did not differ significantly from those when cells were patched with 1 mM Cl in the pipette solution (p > 0.2).
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is voltage-independent. To ensure all Cl was completely washed out, cells were bathed and dissected in Cl-free solution and patched with Cl-free solution to ensure no exogenous source of Cl was presented to the cells. Ten seconds after break-in a considerable NLC was detected in all cells (Fig. 5 B). However, the mean Cpk of the NLC (3.07 ± 1.31 pF, n = 13) was significantly smaller (p < 0.01) than that observed when cells were bathed in a high Cl bath solution (7.2 ± 3.5 pF, n = 19). In addition, the mean Vo of the NLC (38.4 ± 16.8 mV, n = 13) was significantly more positive (p < 0.01) than that observed when cells were bathed in a high Cl bath solution (40.3 ± 10.9 mV, n = 19). This implies that the [Cli] in the cells before break-in was depleted by bathing in Cl-free solution. After break-in, the Cpk of the NLC decreased and the Vo of the NLC appeared to shift to more positive potentials, such that in later recordings the peak of the NLC was not observable within the range of potentials recorded. Unfortunately it proved not possible to extend the range of potentials recorded without compromising the stability of the recording, and fitting of the derivative of the Boltzmann function (Eq. 1) to the visible parts of the traces was highly sensitive to the choice of initial parameters. Nevertheless, it appeared that a residual NLC remained, with its Vo shifted to potentials more positive than 100 mV. Thus, contrary to the predictions of the model, it appears that the NLC was not abolished by the removal of both Cli and Cle. | DISCUSSION |
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We suggest a third model in which prestin acts as an electrogenic anion exchanger, but one in which the charge movement arises as a result of both a Cl ion and intrinsic charged residues moving across the membrane. This model is independent of the nature of the Cl replacing anion, which could be mono- or divalent as long as it guarantees that the reorientation of the intrinsic charged residues is electroneutral. As an implementation of this concept we used previously published data, which described the Cl dependence of the NLC when
was used to replace Cl (19
), to constrain our model and subsequently tested the predictions with additional measurements on dissociated OHCs. This
exchanger model provides the first semiquantitative description of the experimental observations.
Is chloride required to generate an NLC?
A major issue in all possible models of prestin is whether Cl is required to generate the NLC. Although the
exchanger model presented here includes the movement of intrinsic charges, it also requires the presence of Cl to generate a NLC. Thus, in the absence of either Cli or Cle no NLC would be produced. Instead, we found a residual NLC, shifted to very positive potentials (Vo > 100 mV) when experiments were performed under these conditions. There are at least two possible explanations for this: 1), an alternative anion such as
may substitute for Cl to generate a NLC; or 2), Cl cannot be completely removed, due to Cl initially present in the OHC cytoplasm, or contamination of salts used to make up solutions. In fact, contrary to previous assumptions, the model predicts that even if [Cli] and [Cle] are only 10 µM, there is a considerable NLC, with a Cpk = 56% of max and Vo = 216 mV, which is compatible with experimental observations.
In contrast, removal of Cli only is not expected to abolish the NLC, since Cl is still available from the extracellular medium. However, the NLC predicted by the model was not detected in either whole-cell experiments described here, nor in previous experiments on excised patches (19
). In the whole-cell experiments, although residual NLC was detected, neither the decrease in Cpk nor the shift in Vo were as large as those predicted, while in excised patch experiments the NLC appeared to be abolished (19
). One explanation for the discrepancy observed between the predicted NLC and the NLC observed in whole-cell recordings is that it is not possible to completely remove Cli in the whole-cell configuration. This is supported by a recent study, which showed that the presence of a Cl conductance serves to counteract pipette washout when there is a large Cl gradient (22
). On the other hand, in excised patches, where Cli can be effectively removed, but the signal is smaller due to fewer prestin molecules, the predicted NLC may not be detected since its Vo lies far beyond the range of potentials measured.
A chloride conductance associated with the model
The anion exchanger model of prestin proposes that prestin mediates electrogenic exchange and therefore it should be possible to identify its transport properties using electrophysiological techniques. The effect of removing either Cli or Cle on the I(V) of an OHC can be predicted for a
exchanger. The consequences were calculated using the same optimized rate constants shown in Table 2. Complete removal of Cli shifts the reversal potential to an infinitely positive potential, and leads to an inward current of
80 pA at a holding potential of 0 mV (Fig. 6). Complete removal of Cle shifts the reversal potential to an infinitely negative potential, and leads to a very small outward current of
2.5 pA at a holding potential of 0 mV. The magnitudes of these currents are a consequence of the slow transitions E2.Cl
E3.Cl, and E2.SO4
E3.SO4. When 150 mM Cl is present inside and outside the cell, no steady-state current will be observed at any potential since no full cycle can occur. However, if prestin were able to mediate Cl/2Cl exchange in this condition, prestin would behave as a Cl uniporter, resulting in an I(V) that reverses at 0 mV (not shown).
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The results presented here indicate that prestin might be able to function as a
exchanger. Cl is a likely substrate in vivo, since it is believed to be present in the cell at millimolar concentrations in vivo, with estimates for the resting [Cli] in isolated cells ranging from
820 mM (22
,28
). However, there is no evidence that
is present in OHCs or the fluids surrounding OHCs. Considering that at least two of the anion exchangers in the SLC26 family (SLC26A3 and SLC26A6) mediate both
exchange and
exchange, it is possible that rather than mediating
exchange in vivo, prestin mediates
exchange. The presence of a
exchanger in OHCs has previously been suggested by evidence that in isolated OHCs, the intracellular pH depended on [Cle] (29
).
However, the unusually high density of prestin compared with other transporters suggests its primary function is to drive electromotility, and it is unlikely that it also plays the critical role in regulating Cli. In fact, several other Cl transporters and channels have already been implicated to perform Cli regulation. ClC channels have been identified in OHCs by RT-PCR (30
,31
) and the
exchanger SLC4A2 (AE2) has been identified in OHCs via a combination of RT-PCR and immunohistochemistry (32
), although so far there is no evidence to show that any of these proteins are localized at the cell membrane or are functional. Since at present it remains unclear which channels, and transporters are responsible for regulating [Cli] in OHCs, it is difficult to predict the extent to which prestin may contribute to the regulation of Cli and thereby help to set its own voltage-sensitivity. In practice, the turnover of prestin at physiological concentrations of substrates may be so low as to render its transport properties inconsequential. Instead, it may use its transport properties to create a motor that is sensitive to both voltage and anion gradients created by other channels.
| APPENDIX |
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![]() | (16) |
![]() | (17) |
![]() | (18) |
![]() |
In steady state,
, so combining Eqs. 1618 and Eq. 4 gives Eq. 8
![]() |
![]() | (19) |
![]() | (20) |
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| ACKNOWLEDGEMENTS |
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Submitted on August 26, 2005; accepted for publication February 27, 2006.
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