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J Appl Physiol 89: 1543-1552, 2000;
8750-7587/00 $5.00
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Vol. 89, Issue 4, 1543-1552, October 2000

pHi responses to osmotic cell shrinkage in the presence of open-system buffers

Thomas A. Heming, Gregory Boyarsky, Divina M. Tuazon, and Akhil Bidani

Departments of Internal Medicine, and Physiology and Biophysics, University of Texas Medical Branch at Galveston, Galveston, Texas 77555-0876


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

Changes in plasma volume in vivo cause rapid changes in extracellular pH by altering the plasma bicarbonate concentration at a constant Pco2 (Garella S, Chang BS, and Kahn SI. Kidney Int 8: 279, 1975). Few studies have examined the possibility that changes in cell volume produce comparable changes in intracellular pH (pHi). In the present study, alveolar macrophages were exposed to hyperosmotic medium in the absence or presence of the open-system buffers CO2-HCO3-, propionic acid-propionate, or NH3-NH4+. In the absence of open-system buffers, exposure to twice-normal osmolarity (2T) produced a slow cellular alkalinization [change in pHi (Delta pHiapprox  0.38; exponential time constant (tau approx  120 s]. In the presence of 5% CO2, 2T caused a biphasic pHi response: a rapid increase (Delta pHi approx  0.10, tau  approx  15 s) followed by a slower pHi increase. Identical rapid pHi increases were produced by 2T in the presence of propionic acid (20 mM). Conversely, 2T caused a rapid pHi decrease (Delta pHi approx  -0.21, tau  approx  10 s) in the presence of NH3 (20 mM). Thus osmotic cell shrinkage caused rapid pHi changes of opposite direction in the presence of a weak acid buffer (contraction alkalosis with CO2 or propionic acid) vs. a weak base buffer (contraction acidosis with NH3). Graded Delta pHi were produced by varying extracellular osmolarity in the presence of open-system buffers; osmolarity increases of as little as 5-10% produced significant Delta pHi. The rapid pHi responses to 2T were insensitive to inhibitors of membrane H+ transport (ethylisopropylamiloride and bafilomycin A1). The results are consistent with shrinkage-induced disequilibria in the total cellular buffer system (i.e., intrinsic buffers plus added weak acid-base buffer).

alveolar macrophage; cell volume


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

REGULATION OF CELL VOLUME and regulation of intracellular pH (pHi) are important for normal cell functioning (5, 19, 21). In many cells, the two regulatory processes involve common membrane ion transporters, specifically the Na+/H+ exchanger and Cl-/HCO3- exchanger (7, 11). As a result, regulation of cell volume can entail changes in pHi, whereas regulation of pHi can entail changes in cell volume (7, 11). This interdependence raises interesting questions about the hierarchy of cell volume regulation vs. pHi regulation, especially in cells (e.g., macrophages) that exhibit coordinated changes in pHi and cell volume during cell activation.

The relationship between cell volume and pHi is complicated further by the potential effects of osmotically induced changes in cell volume on the equilibrium state of intracellular buffers. Osmotically induced dilution or concentration of a closed-system cytosolic buffer (i.e., a buffer such as intracellular protein, which has a cytosolic content that is essentially fixed) should exert similar effects on the concentrations of the buffer, its conjugate species, and H+. This would produce little, if any, change in pHi. However, the situation is different for open-system cytosolic buffers (i.e., buffers that readily permeate the plasma membrane and with a total cytosolic content that can vary rapidly). For example, consider cells that are shrunken by exposure to a hyperosmotic medium in the presence of physiological concentrations of CO2-HCO3-, an open-system buffer. One expects that osmotic cell shrinkage (reflecting a net loss of cytosolic water) would produce comparable increases in the cytosolic concentrations of HCO3- and H+ with little or no change in the cytosolic Pco2 (and hence CO2 concentration). In this instance, cell shrinkage would produce an intracellular CO2-HCO3--H+ disequilibrium, leading to the net formation of CO2 from HCO3- and H+ and an increment in pHi (i.e., an intracellular contraction alkalosis). This change in pHi is comparable to the effect on plasma pH of reducing extracellular fluid volume in vivo (10). Weak acids (e.g., CO2) and bases are, by definition, buffers. Thus one might also expect osmotic changes in cell volume to disrupt pHi in the presence of other membrane-permeant weak acids or bases (e.g., lactic acid or NH3).

We have shown previously that osmotic shrinkage of resident alveolar macrophages activates the plasmalemmal Na+/H+ exchanger and, under CO2-free conditions, causes an increase in the steady-state pHi (15). In the present study, we determined the effects of osmotic cell shrinkage on the pHi of single alveolar macrophages in the presence of CO2. Macrophage exposure to hyperosmotic medium in the presence of CO2 caused a biphasic rise in pHi (i.e., an initial rapid increase, followed by a slower increment in pHi), whereas osmotic shrinkage in the absence of CO2 caused a slow monotonic rise in pHi. We then conducted studies with other open-system buffers, specifically a membrane-permeant weak acid (propionic acid) or weak base (NH3), to test the hypothesis that the initial rapid change in pHi on osmotic shrinkage reflected a disequilibrium in the total cellular buffer system (intrinsic buffers plus added weak acid-base buffer).


    METHODS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

Cell preparation. Resident alveolar macrophages were isolated from rabbit lungs, as described previously (1, 2). The cells were suspended in RPMI 1640 supplemented with 25 mM HCO3-, 25,000 U/ml penicillin, and 50 µg/ml gentamicin. The cells then were seeded on 18-mm round glass coverslips at densities of ~106 macrophages per coverslip and maintained overnight in an incubator (37°C, 5% CO2).

pHi measurement. The methods for measurement of pHi have been described previously in detail (6). Briefly, pHi was measured using a Nikon inverted microscope coupled to a Spex cation measurement system. Cells were exposed to 10 µM 2',7'-bis(2-carboxyethyl)-5(6)-carboxyfluorescein (BCECF)-AM (in standard HEPES-buffered solution) at room temperature for 2-10 min. The cells then were continuously superfused with a solution preequilibrated at 37°C. An ~10-µm-diameter spot of light was focused on a single cell on the stage of the microscope. The fluorescence of intracellular BCECF was measured and corrected for background fluorescence unrelated to BCECF. Intracellular BCECF was calibrated to pHi using the standard high K+-nigericin technique (6, 22).

Solutions. The standard HEPES-buffered solution contained (in mM) 135 NaCl, 5 KCl, 1 CaCl2, 1 MgSO4, 2 KH2PO4, 6 HEPES, and 5 glucose. HEPES-free CO2-HCO3- solution was prepared by adding 25 mM NaHCO3 (replacing NaCl and HEPES) and bubbling with 5% CO2-balance air. Solutions with propionic acid-propionate were made by replacing 20 mM NaCl with 20 mM sodium propionate. Solutions with NH3-NH4+ were made by replacing 20 mM NaCl with 20 mM NH4Cl. Extracellular osmolarity was routinely altered by adding mannitol (Sigma); a few experiments used sucrose (Mallinckrodt) or NaCl (Sigma). For calibration with the high K+-nigericin technique, the standard solution was used with Na+ replaced by K+ and 10 µM nigericin added. All solutions had a pH of 7.4 at 37°C, except for the calibrating solutions, which were titrated to different pH values using N-methyl-D-glucamine or HCl.

Statistics. The data points are presented as means ± SE. Mean differences between populations were compared with the use of the Student's t-test. Nonlinear curve fitting was performed with the use of the Marquardt-Levenberg algorithm (NFIT, Island Products, Galveston, TX). Curve-fitted parameters are presented as means ± SD.


    RESULTS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

Effects of increased extracellular osmolarity in the absence of open-system buffers. Figure 1 shows the typical response of macrophage pHi to osmotic cell shrinkage in the absence of open-system buffers (including CO2-HCO3-). Exposure to hyperosmotic solution [twice-normal osmolarity (2T) = ~600 mosM] caused the pHi to increase slowly. The consequent change in pHi (Delta pHi) averaged 0.38 ± 0.04 in 18 cells (Table 1). The effect was reversible. When the solution was returned to the original osmolarity, pHi slowly recovered toward the initial starting value (Fig. 1). In 18 cells, the mean Delta pHi after 2T removal was -0.34 ± 0.04 (Table 1).


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Fig. 1.   Representative effects on intracellular pH (pHi) of exposure to twice-normal osmolarity (2T) in CO2-free solution. The external solution was switched between an isotonic solution and a hyperosmotic solution containing 300 mM mannitol, to change the extracellular osmolarity from ~300 to 600 mosM.


                              
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Table 1.   Changes in pHi with doubling of extracellular osmolarity

The time courses of the pHi responses to 2T were well described by single exponentials. For 18 cells, the mean exponential time constant (tau ) was 121 s for the On phase and 163 s for the Off phase (Table 2). The magnitudes of the pHi responses to 2T (Delta pHi during On and Off phases) were not significantly dependent on the starting pHi (i.e., pHi at which 2T was applied or removed). Figure 2 shows the Delta pHi vs. starting pHi. The slopes of lines fitted to the data were not significantly different from zero (P = 0.27 for On data and 0.08 for Off data).

                              
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Table 2.   Exponential rate constant for pHi responses to doubling of extracellular osmolarity



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Fig. 2.   pHi dependence of responses to 2T in CO2-free solution for 18 cells. , Changes in pHi (Delta pHi) during initial exposure to 2T, as a function of the starting pHi. triangle , Delta pHi observed after withdrawal of 2T (Off phase) are plotted with a positive sign.

Effects of increased extracellular osmolarity in the presence of CO2. In the presence of CO2, exposure to 2T caused a biphasic rise in pHi. There was a rapid initial alkalinization from a baseline value of 7.00 ± 0.04 to a shoulder value of 7.10 ± 0.04, followed by a slower rise over the course of >5 min to a new steady-state value of 7.24 ± 0.05 (n = 20 cells) (Fig. 3, Table 1). In 20 cells, the mean Delta pHi was 0.10 ± 0.01 for the initial rapid portion of the On phase and 0.14 ± 0.04 for the subsequent slower portion. The Off response was monitored for only 1-2 min (Fig. 3). Macrophage pHi declined rapidly during that period of time to an apparently stable value (Delta pHi approx  -0.14; Table 1, Fig. 3).


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Fig. 3.   Representative effects on pHi of 2T exposure in the presence of 5% CO2. A: at point a, the external solution was switched to a solution containing 300 mM mannitol to raise the external osmolarity to ~600 mosM. The break in the record between points c and d represents a period of 11 min during which 2T was continuously applied. At point e, the external solution was switched back to the original isotonic solution. B: On phase time course of pHi response is redisplayed (segment a-b of A), along with a single exponential curve fit to the data. Dashed line represents data from Fig. 1 (in absence of CO2) over the same time period of the On response. C: data for the Off phase (segment e-f of A) is redisplayed along with a single exponential curve fit to the data. Dashed line represents data from Fig. 1 (CO2-free) over the same time period of the Off response.

The pHi responses to 2T in the presence of CO2 occurred more rapidly than those in the absence of CO2. The mean tau  was 15 s for the initial On response in CO2 and 24 s for the Off response (Table 2), considerably shorter than those in CO2-free solution. Furthermore, in contrast to the case in CO2-free solution, the rapid Delta pHi produced by 2T (On and Off phases) in CO2 was dependent on the starting pHi value, increasing with increments in the starting pHi (Fig. 4).


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Fig. 4.   pHi dependence of responses to 2T in CO2-HCO3- solution for 20 cells. , Delta pHi produced by addition of 300 mM mannitol (On phase), as a function of the starting pHi. The best-fit line to the data (solid line) had slope of 0.21 ± 0.05 and y-intercept of -1.34 ± 0.21 (±SD). Slope was significantly different from zero (P = 0.0014) with R2 = 0.44. triangle , Delta pHi produced by return to normal osmolarity (Off phase), plotted with a positive sign. Best-fit line (dashed line) had slope of 0.25 ± 0.05 and y-intercept of -1.69 ± 0.35 (±SD). Slope was significantly different from zero (P < 0.0001) with R2 = 0.62.

Effects of increased extracellular osmolarity in the presence of propionic acid. If the rapid pHi response to 2T in CO2 reflected a disequilibrium in the total cellular buffer system, then other membrane-permeable weak acids would be expected to mimic the effects observed in CO2. Furthermore, alveolar macrophages have HCO3--dependent plasmalemma acid-base transporters (3) that could be operating during the osmotic challenge in CO2. Propionic acid was selected as a membrane-permeant weak acid (4) that is unlikely to support HCO3--dependent transport.

Figure 5 illustrates an experiment in which a cell was exposed to 20 mM propionic acid-propionate in the nominal absence of CO2. The initial exposure to propionic acid caused a rapid cell acidification consistent with the entry of propionic acid, a fraction of which dissociated to form intracellular propionate and H+ (4). After the rapid acidification, pHi recovered to a value near the original baseline, presumably through the actions of the plasmalemma H+ extruders (2, 4). The cell was then briefly exposed to solutions of altered extracellular osmolarity, ranging from 110 to 300% of normal (1.1T to 3T). Changes in extracellular osmolarity under these conditions produced rapid, reversible changes in pHi.


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Fig. 5.   Representative effects on pHi of varying osmolarity in the presence of propionic acid. Exposure to 20 mM total propionic acid-propionate caused a rapid fall in pHi, followed by a slower recovery of pHi to near the starting value. The cell was then pulsed with solutions of differing osmolarities: 30 mM mannitol was added for the 1.1T solution (10% increase in osmolarity above normal or 330 mosM); 75 mM mannitol for 1.25T (375 mosM); 150 mM mannitol for 1.5T (450 mosM); 300 mM mannitol for 2T (600 mosM); and 600 mM mannitol for 3T (900 mosM).

The pHi responses to osmotic cell shrinkage in propionic acid were quantitatively identical to those in CO2. The magnitudes of the responses to 2T in propionic acid (Delta pHi approx  0.12 during the On phase and -0.10 during the Off phase) were not significantly different from those in CO2 (Table 1). Furthermore, the Delta pHi produced by 2T in propionic acid was sensitive to the starting pHi value (data not shown). The regression slopes (±SD) of Delta pHi vs. starting pHi were 0.27 ± 0.07 (R2 = 0.67) for the On phase and 0.19 ± 0.05 (R2 = 0.67) for the Off phase (each slope was significantly different from zero). The regression slopes in propionic acid were not significantly different from those in CO2 (see legend to Fig. 4). Finally, the kinetics of the pHi responses to 2T in propionic acid (tau  approx  12 s during the On phase and 16 s during the Off phase) were not significantly different from those in CO2 (Table 2). These data indicate that the rapid pHi responses to 2T were not unique to CO2-HCO3- solutions.

Table 3 lists the mean Delta pHi observed for different sizes of osmolarity pulses in propionic acid. Statistically significant changes in pHi were observed with as little as a 10% increase in external osmolarity. The Delta pHi varied directly with the magnitude of the osmotic challenge. Figure 6 plots the mean Delta pHi of 10 cells (On and Off phases; Off data plotted with a positive sign) as a function of the relative extracellular osmolarity. The curve in Fig. 6 is a fit of the data to the equation, A + Blog10s, where s represents an ideal shrinkage factor (i.e., osmolarity relative to 300 mosM). The best-fit relationship indicated that Delta pHi varied as 0.35 log10s (see legend to Fig. 6).

                              
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Table 3.   Changes in pHi with variations in external extracellular osmolarity in the presence of propionic acid



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Fig. 6.   Effect of magnitude of osmotic challenge on Delta pHi in the presence of propionic acid-propionate. The mean Delta pHi values produced during both the On and Off phases (Off plotted with positive sign) for 20 cells are shown as a function of the relative osmolarity of the pulse. The curve is a fit of the data to A + Blog10s, where s represents an ideal shrinkage factor (i.e., extracellular osmolarity relative to 300 mosM). Best-fit values (±SD) were 0.009 ± 0.005 for A and 0.35 ± 0.02 for B in the equation.

It is unlikely that the rapid pHi responses to hyperosmotic medium containing CO2 or propionic acid reflected shrinkage-induced activation of plasmalemma H+ extruders. Published studies indicate that there are two major contributors to plasmalemma H+ extrusion in alveolar macrophages: the V-type H+ pump and the Na+/H+ exchanger (1). The pHi responses to 2T in propionic acid were insensitive to 15 µM ethylisopropylamiloride (EIPA; a selective inhibitor of Na+/H+ exchange) or 5 µM bafilomycin A1 (a selective inhibitor of V-type H+ pumps). The magnitudes of the pHi responses to 2T (Delta pHi during the On and Off phases) were unaffected by the transport inhibitors (Table 1). Similarly, the mean tau  of the 2T responses (On and Off phases) were unaffected by EIPA or bafilomycin A1 (Table 2).

Effects of increased extracellular osmolarity in the presence of NH3. If the rapid pHi response in the presence of a weak acid was due to changes in the equilibrium characteristics of the total cellular buffer system, then a different response should be observed in the presence of a membrane-permeant weak base. Now the total cellular buffer system consists of a weak base-conjugate acid buffer pair (e.g., NH3-NH4+) plus the intrinsic buffers. Figure 7A illustrates an experiment in which a cell was exposed to 20 mM NH3-NH4+ in the nominal absence of CO2. This solution caused a rapid alkalinization, consistent with the entry of NH3, a fraction of which combined with intracellular H+ to form NH4+. The pHi subsequently recovered to near the original baseline value, reflecting a compensatory net H+ loading of the cell. The cell was then briefly exposed to NH3 solutions of altered osmolarity. In marked contrast to the results with a weak acid buffer (CO2 or propionic acid), increases in extracellular osmolarity caused cellular acidifications in the presence of NH3. In the case with 2T, Delta pHi was -0.21 for the On response in NH3 and 0.21 for the Off response (Table 1).


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Fig. 7.   Representative effects on pHi of osmotic challenges in the presence of NH3-NH4+. A: initial exposure to 20 mM total NH3-NH4+ produced a rapid alkalinization, as NH3 entered the cell and combined with H+ to form NH4+. In the continued presence of ammonium, the pHi recovered back toward the starting value over a period of 10-15 min. The cell was then pulsed with differing amounts of added mannitol to alter extracellular osmolarity. B: similar responses to 2T in NH3 were produced when extracellular osmolarity was altered using 300 mM mannitol, 300 mM sucrose, or 150 mM NaCl.

We visually confirmed that the hyperosmotic challenges produced the intended cell shrinkage. Using a reticle in the microscope eyepiece, we observed comparable decreases in cell diameter during exposures to hyperosmotic medium with or without CO2, propionic acid, or NH3. We also checked that similar pHi responses were observed when the osmolarity of the NH3 solution was altered with 300 mM sucrose or 150 mM NaCl instead of 300 mM mannitol (Fig. 7B, Table 1).

The pHi responses to 2T in NH3 were well fit by single exponentials (data not shown). The mean tau  was 10 s for the On phase and 15 s for the Off phase (Table 2), similar to the results with CO2 and propionic acid. Figure 8 illustrates the pHi dependence of Delta pHi produced by 2T in NH3. Neither On nor Off data showed a demonstrable dependence on starting pHi, unlike the case for weak acids. The slopes of lines fitted to the data were not significantly different from zero (P = 0.77 for On data and 0.20 for Off data). Figure 9 plots the mean Delta pHi during the On and Off phases in 24 cells (On data plotted with positive sign) as a function of the relative extracellular osmolarity. The absolute Delta pHi increased with increments in relative osmolarity between 1.05T and 3T. The curve in Fig. 9 is a fit of the data to the equation A + Blog10s. The observed Delta pHi varied as 0.74 log10s (see legend to Fig. 9). In other words, for a given osmotic challenge, the absolute Delta pHi in NH3 was almost twice as large as that in CO2 or propionic acid.


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Fig. 8.   pHi dependence of responses to 2T in the presence of NH3-NH4+ for 28 cells. , Delta pHi produced by exposure to 2T (On phase) was plotted with a positive sign, as a function of starting pHi. triangle , Delta pHi produced by return to normal osmolarity (Off phase).



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Fig. 9.   Effect of magnitude of osmotic challenge on Delta pHi in the presence of NH3-NH4+. The mean Delta pHi values produced during both the On and Off phases (On plotted with positive sign) for 50 cells are shown as a function of the relative extracellular osmolarity. The curve is a fit of the data to A + Blog10s. The best-fit values (±SD) were -0.011 ± 0.003 for A and 0.74 ± 0.01 for B.


    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

Increases in extracellular osmolarity were accompanied by changes in pHi under all circumstances examined in this study. Other investigators have determined the effects of osmotically induced changes in cell volume on plasmalemma acid-base transport (7, 11, 13). However, the present results suggest that changes in pHi also can result from alterations in the equilibrium characteristics of the total cellular buffer system (intrinsic buffers plus added weak acid-base buffers) during changes in extracellular osmolarity and cell volume.

In the presence of weak acid buffers (CO2 or propionic acid), exposure to 2T caused a rapid, reversible alkalinization, the size of which was dependent on the starting pHi (see Figs. 3 and 4). Varying the magnitude of the osmotic challenge produced corresponding changes in the Delta pHi (see Fig. 6). This "intracellular contraction alkalosis" is comparable to the plasma acid-base disturbance described in vivo, wherein contraction of the extracellular fluid volume produces an alkalosis associated with concentrating HCO3- at a constant CO2, with intrinsic (i.e., nonbicarbonate) buffers playing an important role in determining the size of the extracellular pH change (10). Conversely, increasing extracellular osmolarity in the presence of a weak base buffer (NH3) caused the pHi to decrease rapidly (see Fig. 7), that is, an "intracellular contraction acidosis". Changes in pHi in the presence of NH3 were graded with the size of the osmotic challenge (see Fig. 9) but did not correlate with the starting pHi (see Fig. 8). In absolute terms, the Delta pHi produced by osmotic cell shrinkage in NH3 was larger than that observed in CO2 or propionic acid.

The APPENDIX presents a simple qualitative analysis of the expected Delta pHi elicited by cell shrinkage in the presence or absence of membrane-permeant weak acid-base buffers (i.e., open-system buffers). A number of assumptions and simplifications are included in the analysis: ideality of the change in cell volume; no cell volume recovery during the pHi transients; high relative membrane permeabilities to H2O, CO2, propionic acid, and NH3; and low relative membrane permeabilities to H+, HCO3-, propionate, and NH4+. The analysis also ignores possible nonideality in changes in intracellular constituents during cell volume changes (e.g., changes in intracellular ionic strength), the relative rates of buffering reactions including catalyzed reactions (e.g., CO2 hydration/dehydration), the dependence of intrinsic (nonbicarbonate) buffering power (beta int) on pHi, the changes in beta int produced by changes in cell volume, and the rates of plasmalemma acid-base transport that could be altered during the pHi transients or by changes in cell volume directly.

Some of these issues have been addressed previously with alveolar macrophages (15). In suspensions of alveolar macrophages under CO2-free conditions, addition of 320 mM sucrose to the external solution produced an approximate halving of cell volume, and macrophage volume remained at the smaller level for (at least) 10 min. The shrinkage was associated with an approximate doubling of beta int at a given pHi. Na+/H+ exchange (amiloride-sensitive and Na+-dependent recovery from acid loads) was activated by osmotic cell shrinkage. This is consistent with the slow but large pHi increase observed in the present study in CO2-free solution without added weak acid-base (see Fig. 1). In the presence of CO2, additional acid-base transporters (e.g., Cl-/HCO3- exchangers) could contribute to changes in pHi after cell volume perturbations. For this reason, we chose propionic acid as a model weak acid; it rapidly permeates the macrophage plasma membrane (4) and is unlikely to support plasmalemma HCO3--dependent transport. Osmotic cell shrinkage produced similar rapid pHi transients in the presence of CO2 or propionic acid. Thus it is unlikely that the responses were mediated via Cl-/HCO3- exchange. The rapid pHi responses in propionic acid were insensitive to EIPA or bafilomycin A1. Hence, it also is unlikely that the responses were mediated via Na+/H+ exchange or the H+ pump. Furthermore, osmotic challenges caused pHi to change in opposite directions in the presence of a weak acid buffer (i.e., contraction alkalosis) vs. a weak base buffer (i.e., contraction acidosis). It is difficult to imagine how shrinkage-activated acid-base transport could produce such divergent pHi responses. These findings suggest that the rapid pHi responses were not dependent on the effects of osmotic cell shrinkage on membrane ion transporters. The simplest explanation is that the rapid pHi responses reflected disequilibria in the total cellular buffer system due to osmotic changes in cell volume.

This interpretation of the data is consistent with all salient features of the pHi responses. As shown in the APPENDIX, a shrinkage-induced disequilibrium in the total cellular buffer system is predicted to produce a cytosolic alkalinization in the presence of a weak acid buffer (e.g., CO2 or propionic acid) and a cytosolic acidification in the presence of a weak base buffer (e.g., NH3). Such paradoxical changes in pHi were observed experimentally. The analysis in the APPENDIX also predicts that the magnitude of the pHi response (Delta pHi) should be dependent on the size of the osmotic challenge (s) and beta int, reaching a maximum value of ±log10s when beta int is zero (direction of change in pHi determined by presence of weak acid vs. weak base). The observed Delta pHi values varied directly with s (see Figs. 6 and 9) and were 35-74% of the predicted maximum, in keeping with the presence of intrinsic buffers in alveolar macrophages (15).

If cell shrinkage induced a disequilibrium in the total cellular buffer system, then reequilibration should be determined by competing reactions between intrinsic buffers and the added weak acid-base buffer (i.e., CO2-HCO3-, propionic acid-propionate, or NH3-NH4+). Although the kinetics of these competing reactions are not known, we can compare the relative contribution of each reaction to the final equilibrium state by examining the buffering powers of the individual buffers. Alveolar macrophages in isotonic solution have an beta int of ~20 mM/pH at pHi 7.1 (15). At the same pHi in the presence of 5% CO2, the intracellular HCO3- concentration is calculated to be ~12 mM, yielding an intracellular bicarbonate buffering power (beta bicarb) of ~28 mM/pH (assuming the apparent CO2-HCO3- equilibrium constant and CO2 concentration are the same inside and outside the cell and that CO2-HCO3- behaves as an open-system buffer such that beta bicarb is 2.303 times the concentration of HCO3-). In the presence of 20 mM propionic acid-propionate or NH3-NH4+, the intracellular propionate buffering power (beta prop) is calculated to be ~23 mM/pH and the intracellular ammonium buffering power (beta amm) to be ~92 mM/pH (using similar assumptions as above). The absolute Delta pHi elicited by osmotic cell shrinkage was larger in the presence of NH3 than weak acids, whereas similar Delta pHi values were detected in experiments with CO2 and propionic acid, in keeping with beta amm > beta bicarb approx  beta prop.

The approach of comparing buffering powers can also be used to explain the different sensitivities of Delta pHi to starting pHi in experiments with weak acids vs. weak bases. beta bicarb, beta prop, beta amm, and beta int are all sensitive to pH. In experiments with CO2 or propionic acid, the conjugate base concentration (and hence, beta bicarb or beta prop) increased with increments in pHi, following the law of mass action. In contrast, the beta int of alveolar macrophages decreased at higher pHi values (15). Thus the relationship between the buffering powers of intrinsic buffers vs. the added weak acid buffer (hence, the magnitude of the pHi responses to osmotic cell shrinkage) should be relatively sensitive to starting pHi in the presence of CO2 or propionic acid. On the other hand, in experiments with NH3, the conjugate acid concentration (hence, beta amm) decreased with increments in pHi, along with the pH-induced decrements in beta int. Thus the relationship between the buffering powers of intrinsic buffers vs. the added weak base buffer (hence, Delta pHi) should be relatively insensitive to starting pHi in the presence of NH3. In keeping with this interpretation of the data, Delta pHi was dependent on the starting pHi value in weak acid experiments but was not correlated with the starting pHi in NH3 experiments.

The present findings are probably not unique to alveolar macrophages. We have previously observed rapid changes in pHi during changes in extracellular osmolarity in the presence of CO2-HCO3- in renal mesangial cells (Boyarsky, unpublished results). Conditions exist in vivo in which cells are exposed to diverse osmotic microenvironments in the presence of multiple open-system buffers (e.g., CO2 and NH3), particularly in the kidney. The effects on pHi of alterations in extracellular osmolarity in a multiple buffer system are unclear. Furthermore, although the present studies focussed on the responses to hyperosmotic cell shrinkage, the pHi effects were reversed On return to the original tonicity (with consequent cell swelling to recover macrophage volume). This observation suggests that "expansion" acidoses and alkaloses might occur during hyposmotic cell swelling in the presence of weak acids and weak bases, respectively.

The experimental cells were highly sensitive to increases in extracellular osmolarity. Statistically significant changes in pHi occurred with only 5-10% increases in extracellular osmolarity (see Figs. 6 and 9). This raises the possibility that the responses have physiological/pathophysiological relevance. A large body of evidence indicates that recovery of cell volume following osmotic cell shrinkage involves the activation of plasmalemma acid-base transporters and often is accompanied by transporter-mediated changes in pHi with a time course of several minutes (8, 9, 12-15, 18, 20). The present results show that cell shrinkage under physiological conditions (5% CO2) can produce rapid increases in pHi with a time course of several seconds, most likely due to disequilibria in the total cellular buffering system. The duration of these pHi shifts was not determined. Nonetheless, such rapid responses will define the initial changes in pHi that occur after osmotic cell shrinkage under physiological conditions. It is worthwhile to consider, therefore, that rapid buffer-associated pHi changes are involved in the allosterical activation of the acid-base transporters that play a role in the subsequent recovery of cell volume.

Regardless of the specific mechanisms involved (transporter-mediated or buffer-associated), any change in pHi that accompanies changes in cell volume will effectively reset the relationship between pHi and extracellular pH. As such, pHi responses to cell volume changes will influence the functioning of physiological systems that track extracellular acid-base status. For example, in animal studies, Kasserra and co-workers (16, 17) found that intravenous infusion of a hyperosmotic solution caused a prolonged blood acidosis (dilution acidosis) and hypercarbia without eliciting a compensatory increase in ventilation. The hyperosmotic challenge also produced alkaline shifts in the tissue pH of skeletal muscle (i.e., a tissue contraction alkalosis). Assuming that a similar pH shift occurred in chemoreceptive cells (intracellular alkalosis), the authors suggested that aniosmotic-induced changes in pHi caused the chemoreceptors to mistrack blood acid-base status, and this impaired respiratory compensation of the acid-base disturbance. The present data suggest that uncoupling of intracellular and extracellular pH can have a rapid onset, before the involvement of volume-activated plasmalemma acid-base transporters.


    APPENDIX. ANALYSIS OF pHi CHANGES PRODUCED BY CHANGES IN CELL VOLUME
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

The assumptions and simplifications of this analysis are outlined above. Volume changes are expected to produce little change in pHi in the presence of a closed-system buffer (i.e., a situation in which the total amount of cytosolic buffer remains constant). In this case, we assume that equilibrium of the buffer (Buf) is described as follows (subscript 1 denotes initial conditions)
Buf<IT>+</IT>H<SUP><IT>+</IT></SUP><IT> ↔ </IT>HBuf<SUP><IT>+</IT></SUP><IT>  K</IT><SUB>eq</SUB><IT>=</IT><FR><NU>[Buf<SUB>1</SUB>][H<SUP><IT>+</IT></SUP><SUB><IT>1</IT></SUB>]</NU><DE>[HBuf<SUP><IT>+</IT></SUP><SUB><IT>1</IT></SUB>]</DE></FR> (1)
where Keq is the equilibrium constant. If the cell volume is shrunk by a factor s, then, initially, the concentrations of all constituents increase by the same factor (subscript 2). Now, the buffer is no longer in equilibrium (dropping concentration brackets and superscripts)
<FR><NU>Buf<SUB><IT>2</IT></SUB>H<SUB><IT>2</IT></SUB></NU><DE>HBuf<SUB><IT>2</IT></SUB></DE></FR><IT>=</IT><FR><NU>(<IT>s</IT>Buf<SUB><IT>1</IT></SUB>)(<IT>s</IT>H<SUB><IT>1</IT></SUB>)</NU><DE>(<IT>s</IT>HBuf<SUB><IT>1</IT></SUB>)</DE></FR><IT>=sK</IT><SUB>eq</SUB> (2)
and the following reaction occurs until reestablishment of equilibrium (subscript 3)
Buf<IT>+</IT>H<IT> → </IT>HBuf<IT>  K</IT><SUB>eq</SUB><IT>=</IT><FR><NU>Buf<SUB><IT>3</IT></SUB>H<SUB><IT>3</IT></SUB></NU><DE>HBuf<SUB><IT>3</IT></SUB></DE></FR> (3)
The extent of an equilibrating reaction (x) is given by the following relationships
Buf<SUB><IT>3</IT></SUB><IT>=</IT>Buf<SUB><IT>2</IT></SUB><IT>−x  </IT>HBuf<SUB><IT>3</IT></SUB><IT>=</IT>HBuf<SUB><IT>2</IT></SUB><IT>+x</IT> (4)

H<SUB><IT>3</IT></SUB><IT>=</IT>H<SUB><IT>2</IT></SUB><IT>−x</IT>
Equation 4 assumes that there is no other buffer present, which obligates a 1:1 consumption of H+ along with Buf in producing HBuf. One approach to understanding why the pH returns to normal (i.e., H3 approx  H1) is to plug into Eq. 3 from Eqs. 1, 2, and 4
<FR><NU>(sBuf<SUB><IT>1</IT></SUB><IT>−x</IT>)(<IT>s</IT>H<SUB><IT>1</IT></SUB><IT>−x</IT>)</NU><DE>(<IT>s</IT>HBuf<SUB><IT>1</IT></SUB><IT>+x</IT>)</DE></FR><IT>=K</IT><SUB>eq</SUB> (5)
Rearrangement yields
(sH<SUB><IT>1</IT></SUB><IT>−x</IT>)<IT>=K</IT><SUB>eq</SUB> <FR><NU>(<IT>s</IT>HBuf<SUB><IT>1</IT></SUB><IT>+x</IT>)</NU><DE>(<IT>s</IT>Buf<SUB><IT>1</IT></SUB><IT>−x</IT>)</DE></FR> (6)
Ignoring the x terms on the right (because x is only nM compared with the mM of Buf and HBuf) and canceling the s terms leaves the following
(sH<SUB><IT>1</IT></SUB><IT>−x</IT>)<IT>=</IT><FR><NU><IT>K</IT><SUB>eq</SUB>HBuf<SUB><IT>1</IT></SUB></NU><DE>Buf<SUB><IT>1</IT></SUB></DE></FR><IT>=</IT>H<SUB><IT>1</IT></SUB> (7)
The last equation results from the original equilibrium definition (Eq. 1). Thus, by rearrangement
x=(s−1)H<SUB><IT>1</IT></SUB> (8)
Plugging into the value for H3 (Eq. 4) and H2 (Eq. 2), one obtains the following
H<SUB><IT>3</IT></SUB><IT>=</IT>H<SUB><IT>2</IT></SUB><IT>−x=s</IT>H<SUB><IT>1</IT></SUB><IT>−</IT>(<IT>s−1</IT>)H<SUB><IT>1</IT></SUB><IT>=</IT>H<SUB><IT>1</IT></SUB> (9)

Rapid Loss of Cellular Water in the Presence of a Weak Acid

The response is different in the presence of an open-system buffer (i.e., a situation in which the total amount of cytosolic buffer can vary). We will assume that CO2-HCO3- is present and that CO2 rapidly equilibrates across the cell membrane. Then, the CO2-HCO3- buffer pair obey the following equilibrium
H<SUP><IT>+</IT></SUP><IT>+</IT>HCO<SUP><IT>−</IT></SUP><SUB><IT>3</IT></SUB><IT> ↔ </IT>CO<SUB><IT>2</IT></SUB><IT>+</IT>H<SUB><IT>2</IT></SUB>O (10)

 K<SUB>eq</SUB><IT>=</IT><FR><NU>[H<SUP><IT>+</IT></SUP>][HCO<SUP><IT>−</IT></SUP><SUB><IT>3</IT></SUB>]</NU><DE>[CO<SUB><IT>2</IT></SUB>][H<SUB><IT>2</IT></SUB>O]</DE></FR><IT>  K′</IT><SUB>eq</SUB><IT>=</IT><FR><NU>[H<SUP><IT>+</IT></SUP>][HCO<SUP><IT>−</IT></SUP><SUB><IT>3</IT></SUB>]</NU><DE>[CO<SUB><IT>2</IT></SUB>]</DE></FR>
Assuming there is a pure loss of water producing cell shrinkage by s, we can consider two extreme cases. In the first case, there are no intrinsic buffers (beta int = 0). The concentrations of HCO3- and H+ then change by s. CO2 freely permeates the plasma membrane and, consequently, remains constant. A disequilibrium is created
HCO<SUB><IT>3-2</IT></SUB><IT>=s</IT>HCO<SUB><IT>3-1</IT></SUB> (11)

CO<SUB><IT>2-2</IT></SUB><IT>=</IT>CO<SUB><IT>2-1</IT></SUB>  H<SUB><IT>2</IT></SUB><IT>=s</IT>H<SUB><IT>1</IT></SUB>

<FR><NU>(H<SUB><IT>2</IT></SUB>)(HCO<SUB><IT>3-2</IT></SUB>)</NU><DE>(CO<SUB><IT>2-2</IT></SUB>)</DE></FR><IT>=</IT><FR><NU>(<IT>s</IT>H<SUB><IT>1</IT></SUB>)(<IT>s</IT>HCO<SUB><IT>3-1</IT></SUB>)</NU><DE>(CO<SUB><IT>2-1</IT></SUB>)</DE></FR><IT>=s<SUP>2</SUP>K′</IT><SUB>eq</SUB>
The following reaction occurs until a new equilibrium is reached (subscript 3)
H<SUP><IT>+</IT></SUP><IT>+</IT>HCO<SUP><IT>−</IT></SUP><SUB><IT>3</IT></SUB><IT> → </IT>CO<SUB><IT>2</IT></SUB>(<IT>↑</IT>) (12)

<FR><NU>(H<SUB><IT>3</IT></SUB>)(HCO<SUB><IT>3-3</IT></SUB>)</NU><DE>(CO<SUB><IT>2-3</IT></SUB>)</DE></FR><IT>=K′</IT><SUB>eq</SUB><IT>=</IT><FR><NU>(H<SUB><IT>1</IT></SUB>)(HCO<SUB><IT>3-1</IT></SUB>)</NU><DE>(CO<SUB><IT>2-1</IT></SUB>)</DE></FR>
Inasmuch as beta int = 0, the H+ concentration decreases with little change in the HCO3- concentration because stoichiometric coupling of the changes in H+ (nM) and HCO3- (mM) force reequilibration with nanomolar changes in each. Ignoring the nanomolar change in HCO3- concentration, Eq. 12 can be rearranged as follows
(H<SUB><IT>3</IT></SUB>)<IT>=</IT><FR><NU>(HCO<SUB><IT>3-1</IT></SUB>)</NU><DE>(HCO<SUB><IT>3-3</IT></SUB>)</DE></FR> (H<SUB><IT>1</IT></SUB>)

HCO<SUB><IT>3-3</IT></SUB><IT>=</IT>HCO<SUB><IT>3-2</IT></SUB><IT>=s</IT>HCO<SUB><IT>3-1</IT></SUB> (13)

H<SUB><IT>3</IT></SUB><IT>=</IT>(<IT>1/s</IT>)H<SUB><IT>1</IT></SUB>
Thus, with beta int = 0, the H+ concentration decreases by a factor 1/s or pH increases by log10s. In the second extreme case, beta int is assumed to be infinite. Here, we expect to see no change in the H+ concentration but large changes in the HCO3- concentration. Shrinkage produces changes in the HCO3- concentration, which result in disequilibrium
HCO<SUB><IT>3-2</IT></SUB><IT>=s</IT>HCO<SUB><IT>3-1</IT></SUB>

CO<SUB><IT>2-2</IT></SUB><IT>=</IT>CO<SUB><IT>2-1</IT></SUB>  H<SUB><IT>2</IT></SUB><IT>=</IT>H<SUB><IT>1</IT></SUB> (14)

<FR><NU>(H<SUB><IT>2</IT></SUB>)(HCO<SUB><IT>3-2</IT></SUB>)</NU><DE>(CO<SUB><IT>2-2</IT></SUB>)</DE></FR><IT>=</IT><FR><NU>(H<SUB><IT>1</IT></SUB>)(<IT>s</IT>HCO<SUB><IT>3-1</IT></SUB>)</NU><DE>(CO<SUB><IT>2-1</IT></SUB>)</DE></FR><IT>=sK′</IT><SUB>eq</SUB>
Reestablishment of equilibrium is again accomplished by the reaction in Eq. 12
(H<SUB><IT>3</IT></SUB>)<IT>=</IT><FR><NU>(HCO<SUB><IT>3-1</IT></SUB>)</NU><DE>(HCO<SUB><IT>3-3</IT></SUB>)</DE></FR> (H<SUB><IT>1</IT></SUB>)

H<SUB><IT>3</IT></SUB><IT>=</IT>H<SUB><IT>2</IT></SUB><IT>=</IT>H<SUB><IT>1</IT></SUB> (15)

HCO<SUB><IT>3-3</IT></SUB><IT>=</IT>HCO<SUB><IT>3-1</IT></SUB>
Thus osmotic cell shrinkage in the presence of a weak acid causes a Delta pHi that ranges in magnitude from zero (infinite beta int) to a maximum of log10s (beta int = 0). In experiments with CO2 and propionic acid, hyperosmotic challenges produced alkalinizations equivalent to 0.35 log10s (i.e., 35% of the expected maximum), consistent with the modest beta int of alveolar macrophages (15).

Rapid Loss of Cellular Water in the Presence of a Weak Base

We will assume that NH3-NH4+ is present and that NH3 rapidly equilibrates across the cell membrane. Then, the NH3-NH4+ buffer pair obey the following equilibrium
H<SUP><IT>+</IT></SUP><IT>+</IT>NH<SUB><IT>3</IT></SUB><IT> ↔ </IT>NH<SUP><IT>+</IT></SUP><SUB><IT>4</IT></SUB><IT>  K</IT><SUB>eq</SUB><IT>=</IT><FR><NU>[H<SUP><IT>+</IT></SUP>][NH<SUB><IT>3</IT></SUB>]</NU><DE>[NH<SUP><IT>+</IT></SUP><SUB><IT>4</IT></SUB>]</DE></FR> (16)
We again consider that the cell loses water to undergo shrinkage by s and that this produces proportional increases in all constituents except NH3 (which freely permeates the cell membrane)
NH<SUB><IT>4-2</IT></SUB><IT>=s</IT>(NH<SUB><IT>4-1</IT></SUB>)

H<SUB><IT>2</IT></SUB><IT>=s</IT>H<SUB><IT>1</IT></SUB>  NH<SUB><IT>3-2</IT></SUB><IT>=</IT>NH<SUB><IT>3-1</IT></SUB> (17)

<FR><NU>(H<SUB><IT>2</IT></SUB>)(NH<SUB><IT>3-2</IT></SUB>)</NU><DE>(NH<SUB><IT>4-2</IT></SUB>)</DE></FR><IT>=</IT><FR><NU>(<IT>s</IT>H<SUB><IT>1</IT></SUB>)(NH<SUB><IT>3-1</IT></SUB>)</NU><DE>(<IT>s</IT>NH<SUB><IT>4-1</IT></SUB>)</DE></FR><IT>=K</IT><SUB>eq</SUB>
During osmotic cell shrinkage, the ammonium buffer pair remains in equilibrium with the increase in H+ proportionally balanced by the increase in NH4+. Thus, in the extreme case with beta int = 0, the H+ concentratiOn remains elevated at s[H1+] and pH changes by -log10s, that is, pH decreases. On the other hand, in the presence of intrinsic buffers (i.e., beta int > 0), although the ammonium buffer pair remains in equilibrium during osmotic cell shrinkage, the intrinsic buffers do not
Buf<SUB><IT>2</IT></SUB><IT>=s</IT>Buf<SUB><IT>1</IT></SUB>

HBuf<SUB><IT>2</IT></SUB><IT>=s</IT>HBuf<SUB><IT>1</IT></SUB>  H<SUB><IT>2</IT></SUB><IT>=s</IT>H<SUB><IT>1</IT></SUB> (18)

<FR><NU>(Buf<SUB><IT>2</IT></SUB>)(H<SUB><IT>2</IT></SUB>)</NU><DE>(HBuf<SUB><IT>2</IT></SUB>)</DE></FR><IT>=</IT><FR><NU>(<IT>s</IT>Buf<SUB><IT>1</IT></SUB>)(<IT>s</IT>H<SUB><IT>1</IT></SUB>)</NU><DE>(<IT>s</IT>HBuf<SUB><IT>1</IT></SUB>)</DE></FR><IT>=sK</IT><SUB>eq</SUB>
The following reactions then occur until equilibrium is reestablished (subscript 3)
Buf<IT>+</IT>H<SUP>+</SUP> → HBuf<SUP>+</SUP>  NH<SUP>+</SUP><SUB><IT>4</IT></SUB> → NH<SUB><IT>3</IT></SUB><IT>+</IT>H<SUP><IT>+</IT></SUP> (19)

<FR><NU>(H<SUB><IT>3</IT></SUB>)(NH<SUB><IT>3-3</IT></SUB>)</NU><DE>(NH<SUB><IT>4-3</IT></SUB>)</DE></FR><IT>=K</IT><SUB>eq</SUB><IT>=</IT><FR><NU>(H<SUB><IT>1</IT></SUB>)(NH<SUB><IT>3-1</IT></SUB>)</NU><DE>(NH<SUB><IT>4-1</IT></SUB>)</DE></FR>
In the extreme case with infinite beta int, pH remains at its initial value and large changes occur in the NH4+ concentration
<FR><NU>(H<SUB><IT>3</IT></SUB>)</NU><DE>(NH<SUB><IT>4-3</IT></SUB>)</DE></FR><IT>=</IT><FR><NU>(H<SUB><IT>1</IT></SUB>)</NU><DE>(NH<SUB><IT>4-1</IT></SUB>)</DE></FR>

H<SUB><IT>3</IT></SUB><IT>=</IT>H<SUB><IT>2</IT></SUB><IT>=</IT>H<SUB><IT>1</IT></SUB> (20)

NH<SUB><IT>4-3</IT></SUB><IT>=</IT>NH<SUB><IT>4-1</IT></SUB>
Thus cell shrinkage in the presence of a weak base causes a decrease in pH that ranges in magnitude from -log10s (beta int = 0) to zero (infinite beta int). In experiments with NH3, hyperosmotic challenges produced acidifications equivalent to -0.74 log10s (i.e., 74% of the expected maximum), consistent with the modest beta int of alveolar macrophages (15).


    ACKNOWLEDGEMENTS

We thank Dr. Luis Reuss for reading the manuscript and making helpful suggestions.


    FOOTNOTES

This work was supported by National Heart, Lung, and Blood Institute Grant HL-51421 and the Constance Marsili Schafer Research Fund.

Original submission in response to a special call for papers on "Cellular Responses to Mechanical Stress."

Address for reprint requests and other correspondence: T. A. Heming, Dept. of Internal Medicine, Univ. of Texas Medical Branch at Galveston, Galveston, TX 77555-0876 (E-mail: theming{at}utmb.edu).

The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.

Received 9 March 2000; accepted in final form 5 June 2000.


    REFERENCES
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
APPENDIX
REFERENCES

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