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INVITED REVIEW
Department of Nephrology, University Hospital of Lund, Lund, Sweden
| ABSTRACT |
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capillary permeability; polysaccharides; macromolecules; reflection coefficient; transport
), i.e., their filtrate-to-plasma concentration ratios, can be determined directly from their urinary clearances relative to that of a glomerular filtration rate marker (e.g., inulin). Infusing polydisperse mixtures of dextran or Ficoll and using chromatographic techniques to fractionate plasma and urine samples make it possible to simultaneously determine the
for a wide spectrum of different-sized molecular probes, provided that proper size calibrations are made. In humans, dextran can be used, whereas Ficoll, due to a toxic contaminant used for polymerization, cannot be used (in large quantities). Exceptionally, however, it has been given to humans in tracer quantities (1, 4). The technique of using polydisperse polysaccharides as probes for glomerular permselectivity is remarkably reproducible, reliable, and elegant.
The sieving characteristics of the GCW can be modeled using simple pore models (37, 45, 5153, 56), even though, recently, a number of seemingly more sophisticated models have been presented (16, 26, 44). Using the so-called "two-pore model" of glomerular permeability, the selectivity of the GCW is characterized by a very large number of albumin-restrictive "equivalent" small pores [radius (rs) = 3755 Å], being negatively charged, and a small number of larger pores [radius
100 Å (also negatively charged)], which constitute approximately only 1 part/million of the small pores (37, 56, 63). Using "neutral" dextrans as probes for testing the molecular selectivity of the GCW, data are usually compatible, with the presence of an equivalent rs being 4860 Å (27). Using neutral Ficoll, a polymer of sucrose and epichlorohydrin, the rs has generally been determined to be on the order of 4552 Å (4, 26, 30, 44, 46). However, massive documentation from classic micropuncture studies (53) and recent studies assessing the glomerular clearance of endogenous globular protein tracers in vivo (37) strongly indicate that the equivalent pore radius of the glomerular filter vis-à-vis neutral proteins would be only on the order of 37 to 38 Å (cf. Fig. 4 in Ref. 53; Fig. 1). This implies that size selectivity, rather than charge selectivity, would dominate the permselective properties of the GCW. Thus, typically, the dextran glomerular
for a molecule with a Stokes-Einstein (SE) radius of 30 Å is approximately sevenfold higher than that of neutral horseradish peroxidase (nHRP) (55), a neutral globular protein of equivalent molecular radius. The glomerular
value for a 30-Å Ficoll (Ficoll30Å) probe is characteristically 4 to 5 times larger than that of nHRP (1, 4, 30, 55).
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, when assessed directly from urinary excretion data, can be set equal to its fractional glomerular clearance (i.e.,
). The more ideal properties of Ficoll have thus been postulated to make its clearance more similar to that of globular proteins than is the case for dextran. The first indication of a lower glomerular permeability for Ficoll vs. dextran was provided by Bohrer et al. (6). Two subsequent studies confirmed this finding and yielded Ficoll
that were actually, in some instances, lower than those obtained for globular proteins (46, 51) (Fig. 2). However, already the data of Bohrer et al. (6) indicated a higher permeability of the GCW for Ficoll than for neutral globular proteins, and in principle, all later studies have yielded markedly higher
values and markedly higher equivalent rs of the GCW when determined with Ficoll than by using globular proteins (Fig. 2). In the present review, we will therefore challenge the concept that Ficoll would be an ideal molecule for probing glomerular permselectivity to (globular) proteins. This short overview will, however, not address the ambiguities inherent in, for example, size-exclusion chromatographic (SEC) techniques, column calibration, and detection of polydisperse polysaccharide preparations, which were discussed at some length in a previous publication (27).
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COMPARISON OF GLOMERULAR OF UNCHARGED GLOBULAR PROTEINS AND GLOMERULAR OF POLYSACCHARIDES IN EXPERIMENTAL MODELS
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of nHRP was found to be 0.068 compared with a
value of 0.483 for neutral dextran, yielding a dextran-to-HRP
ratio of 7.3. In vivo (in humans) or in the isolated (cooled) artificially perfused kidney (cIPK), the
for Ficoll36Å has typically been determined to be on the order of 0.08 to 0.10 and that for Ficoll40Å to be 0.010.04 (1, 4, 26, 28, 30). This is much higher than the corresponding values for proteins of equivalent hydrodynamic radius. Lund et al. (37) determined
for neutral albumin in intact Wistar rats to be 0.006, which is 10-fold lower than the corresponding value for Ficoll. In the perfusion-fixed, isolated perfused kidney (fIPK),
for neutral albumin was determined to be 0.020 (i.e., only 20% of that for Ficoll36Å) (13). Lindström et al. (36) determined the glomerular
for lactate dehydrogenase-5 (LDH-5; radius of 4042 Å and near-neutral charge) in cIPK (8°C) to be 0.006, which is again much lower than the corresponding value for Ficoll40Å. Unfortunately, very few studies have been performed in which the Ficoll
has been determined simultaneously with that for neutral globular proteins to elucidate the role of shape and deformability, aside from size (and charge), in glomerular transport. Future studies of that kind are worthwhile. | IN VITRO POLYSACCHARIDE PERMEABILITY ACROSS POROUS MEMBRANES |
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(32), and equilibrium-partitioning coefficients (34) of Ficoll were found to be almost indistinguishable from those of globular proteins of equivalent SE radius. In addition, charge effects were absent in those experiments. Thus polysaccharides and proteins seem to behave in a very similar fashion when interacting with gels in vitro, whereas this is not the case when the interaction occurs with track-etched porous membranes. | RELATIONSHIPS BETWEEN MOLECULAR WEIGHT AND EFFECTIVE (IN VITRO) MOLECULAR RADIUS FOR GLOBULAR PROTEINS, FICOLL, AND DEXTRAN |
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![]() | (1) |
is the density of the molecule, here being set at 1.33 g/cm3. Rearranging Eq. 1 and inserting the appropriate values for
,
, and NA yield the expression (in Å) for ae
![]() | (2) |
For a hydrated protein, the molecular density would be reduced to 0.99 g/cm3, assuming a hydration factor for protein of 0.3 g/g protein (10). For a polysaccharide, such as Ficoll400, the molecular density is
1.01.1 (33). In Fig. 3, the relationship of an effective ae on the ordinate is plotted vs. the MW on the abscissa in a log-log diagram for hard, uniform spheres (bold solid line); for hydrated hard spheres (bold hatched line; from Eq. 2, in which
is set at 0.99 g/cm3); and, based on literature data, for a number of globular proteins (open circles and blue solid line) and Ficoll (green line) and dextran (red and brown lines). The following equations have been used to relate the SE radius (ae in Å) to the MW (in Da)
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If polysaccharides have a more flexible structure, or are far more extended (cf. dextran), than are globular proteins, this may be a major reason for the discrepant pore radius estimations obtained with either kind of molecular species in glomerular sieving experiments. A discrepant pore radius estimation can also result from the use of other extremely asymmetric molecules of a polysaccharide nature, such as glucosaminoglycans (GAGs), or from the use of molecules having a large polysaccharide component, such as glycoproteins. In Fig. 3, we have included a highly asymmetric GAG, namely, low-MW hyaluronan (HA) of 12,000 MW (grey circle) and also bikunin (grey circle), a (negatively charged) glycoprotein having a MW of 8,000, and also the highly asymmetric protein myosin (filled circle above the dextran line). HA (MW 12,000) and bikunin (MW 8,000) have in vitro, due to their asymmetric shape, and due to their content of linear polysaccharides, an SE radius equivalent to that of albumin. Myosin also falls far above the relationship for dextran. In fact, these highly asymmetric molecules deviate even more markedly than do Ficoll and dextran from the theoretical curve for rigid, uniform (hydrated) spheres. Indeed, Ohlson et al. (45) showed that HA (MW 12,000) and bikunin, although being negatively charged, showed a markedly higher glomerular permeability in IPK of rats than did uncharged Ficoll36Å and native albumin. The
of (negative) HA and bikunin (and of uncharged Ficoll36Å) were also much larger than that for the neutral globular molecule LDH5 (radius of 4042 Å;
= 0.006). This indicates that shape asymmetry actually can surpass the impact of molecular charge on glomerular transport. The generalization that can be made from Fig. 3 is that the more a molecule's SE radius deviates from the theoretical line for a hydrated hard sphere (solid black line), the more "abnormal," according to published data, is its glomerular permeability.
| DOES FICOLL BEHAVE LIKE A COMPACT MOLECULE? |
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15%, thus indicating an expansion of the molecule (59, 66). It seems that Ficoll, partly via interactions between (weakly charged) groups within the interior of the molecule and Na+ ions, when dissolved in body fluids, transforms from a hard-packed sphere to a rather deformable molecule. Experiments have thus shown that the Ficoll molecule can adsorb Na+ ions (or K+ ions), whereby Ficoll takes on the properties of a pseudopolycation (59, 66). Further evidence that Ficoll has a rather open, deformable structure comes from "crowding" experiments, in which the intrinsic viscosity and excluded volume have been measured as a function of solution concentration (67). At increasing Ficoll concentrations up to 2.5%, there was an increase in the so-called "excluded volume" in the solution, owing to intermolecular interactions of the Ficoll molecules, i.e., due to molecular crowding. However, at concentrations of >2.5% the relative excluded volume was again reduced. This drop in excluded volume is most likely the result of molecular "compression" of the highly branched Ficoll particles. Thus the behavior of Ficoll in crowded solutions strongly suggests that the Ficoll particles have a much more "open" structure than has been previously commonly conceived. | CONSEQUENCES OF POLYSACCHARIDE DEFORMABILITY ON DETERMINATIONS OF GLOMERULAR PERMSELECTIVITY |
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Whereas the hyperpermeability of dextran in experimental settings is well documented, recent chemical and physical data thus indicate that Ficoll molecules are indeed not acting like hard spheres but rather like deformable molecules. The theoretical consequence of the deformability of polysaccharides like Ficoll or dextran is that these molecules, when used in studies of glomerular permselectivity to proteins, evidently yield a higher rs than do globular proteins. If Ficoll is compressible, as indicated from physical studies, it is conceivable that the pore radius would be "overestimated" in Ficoll-sieving experiments relative to protein-sieving experiments in vivo (37). Alternatively, it may be the protein-sieving data that "underestimate" the rs. (37). At low ionic strength, Ficoll would theoretically be more similar to proteins as a probe for glomerular permeability, because it would then be much more compact. This is in line with measurements in cIPK, where Sörensson et al. (61) experimentally demonstrated a lower rs (41 Å) for Ficoll when the ionic strength was reduced, compared with conditions of physiological ionic strength (rs = 4546 Å).
In a number of pathophysiological conditions, in which the selectivity of the glomerular filter is reduced by the apparent formation of "large pores" or "shunt pathways," Ficoll36Å, due to its relative hyperpermeability, actually has often failed to increase its
(1, 47). In the same situation, the
of native (negative) albumin, the transport of which (according to the 2-pore theory) would be more or less totally confined to the large pores, is usually dramatically enhanced. Because of the marked increase in
for albumin but the failure of Ficoll36Å to reflect small changes in glomerular size selectivity, the conclusion has often been that charge selectivity, instead of size selectivity, has been altered. However, taking into account the discrepant size-selective properties of Ficoll vs. proteins, these data may be reinterpreted, at least partly, as reflecting changes in size selectivity.
| ARE NEUTRAL DEXTRAN AND FICOLL COMPLETELY UNCHARGED? |
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| CHARGE SELECTIVITY OF THE GLOMERULAR FILTRATION BARRIER VIS-À-VIS PROTEINS OR POLYSACCHARIDES |
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These studies have been criticized, however, on the grounds that sulfated dextran may bind to, and be even processed by, glomerular cells (62, 68), and furthermore, that dextran sulfate can bind to plasma proteins (23). In addition, isolated glomerular basement membranes have generally failed to show charge selectivity when probed with neutral and negatively charged Ficoll (8) or native (anionic) or cationized albumin (3). In line with these results, Schaeffer et al. (58) were also not able to find any difference in
for differently charged polysaccharides, as assessed using fluorescently labeled neutral and negatively charged, nonsulfated dextrans, or neutral and negatively charged (nonsulfated) hydroxyethyl starch (HES). The HES molecules, furthermore, showed lower
for any given in vitro molecular radius than did dextran (cf. Ficoll). It was concluded that the glomerular filtration barrier restricts the transport of polysaccharide macromolecules as a function of their size and configuration but not due to the presence or absence of a negative charge. A similar conclusion was recently reached by Guimarães et al. (25), comparing negatively charged, carboxymethyl Ficoll with native Ficoll in rats. There was no significant difference in the
of the differently charged Ficoll species. For molecules with radii greater than 36 Å, negatively charged carboxymethyl Ficoll had even a facilitated clearance compared with uncharged Ficoll (25).
In stark contrast to the apparent inability of the glomerular filter to discriminate between polysaccharides of different charges, apparent from recent literature data as cited above, there is ample evidence that, indeed, the GCW selects globular proteins based on their charges. This has been extensively reviewed by Comper and Glasgow (14). Rennke et al. (54) showed a significant reduction (by a factor 1/8.7) of the clearance of negatively charged HRP [isoelectric point (pI) <4.0] compared with neutral HRP (pI 7.37.5). Furthermore, cationic HRP (pI 8.49.2) had a sevenfold higher clearance than neutral HRP. A tissue-uptake technique was used, and HRP was assessed by an enzymatic technique. Therefore, the studies of Rennke et al. have later been criticized due to the possibility that enzymatic activity may underestimate the level of HRP and that the anionic material may be degraded during filtration (48). Still, the authors claiming these confounding circumstances found a difference in
for nHRP vs. anionic HRP of approximately threefold, even when compensating for such shortcomings. A similar difference has been seen for anionic neutral amylase (19) and, in the cIPK, for nHRP and anionic HRP (36). In the fIPK, the difference in measured
for native (negatively charged) albumin (8.7·103) and that for cationic albumin (20·103) was also approximately threefold (13). In the fIPK, the baseline
for native albumin was, however, much higher than values obtained either in vivo using a tissue-uptake technique (37), in the cIPK (44), or in intact rats using a careful micropuncture technique (64). This indicates the presence of a significant size-selectivity defect under baseline conditions in the fIPK. Hence, in intact kidneys with a higher size selectivity to native proteins than in the fIPK, Lund et al. (37) found a ratio of
of
710 between neutral and native (negatively charged) albumin, later confirmed by Bakoush et al. (2). Similarly, high values were obtained for the ratio of the largely neutral probe LDH-5 to the negatively charged LDH-1 in the cIPK, the ratio averaging 7.59 (range 4.1111.94) (61). On the other hand, studies comparing the clearances of neutral IgG2 to anionic IgG4 (pI 5.56.0) have yielded results indicating a lower degree of charge selectivity, with IgG2/IgG4
ratios varying from 1.35 (21) and 4 (65) up to 10 (18). Because of the much larger pore radius (
90100 Å) of large pores than that of small (26, 63), the theoretical effect of charge would, however, be lower for large macromolecules (with no access to the small pores) in these pores. In conclusion, the general pattern emerging with respect to charge selectivity of the glomerular filter is that 1) anionic proteins are always retarded compared with their neutral or cationic counterparts; 2) charge effects are relatively small among differently charged polysaccharide molecules, such as Ficoll or HES; and 3) neutral proteins have significantly lower clearances than dextran or Ficoll of equivalent hydrodynamic radius (nHRP 0.062, Ficoll 0.2, dextran 0.4; neutral albumin 0.006, Ficoll 0.08, and dextran 0.19; neutral LDH 0.0056, Ficoll 0.02, and dextran 0.04). In general, the
of neutral proteins is in most cases just 3- to 10-fold higher than that of their negatively charged counterparts. This indicates that, for globular proteins, size selectivity may be of greater importance, and charge selectivity of lesser importance, than previously conceived for their sieving properties across the GCW (14). There is thus reason to believe that charge selectivity has generally been somewhat overrated over the last few decades, simply due to the fact that comparisons between uncharged and charged species have in many instances been made among molecules with discrepant configuration and deformability. When globular proteins have been compared with polydisperse polysaccharides, one has generally assumed that these two different classes of chemical compounds are similar with respect to size, configuration, and flexibility, which is evidently not the case.
We can only speculate why the GCW exhibits such a low selectivity difference with respect to differently charged polysaccharides, when it evidently separates proteins of different molecular charges. Does the process of charge modification of Ficoll, for example, lead to a higher degree of deformability or shape asymmetry of the molecule? Indeed, in the cIPK shape asymmetry for polysaccharide or GAG species, such as hyaluronan and bikunin (SE radius of 36 Å and negatively charged), greatly influences their glomerular transport (45), which was markedly increased compared with neutral Ficoll of an equivalent SE radius. Thus shape asymmetry markedly exceeded the importance of negative charge in these experiments. The present review proposes that deformability is another major factor critically influencing the molecular permeability across the GCW. Although Ficoll36Å has a shape somewhat closer to a sphere than does albumin, it is approximately one order of magnitude more permeable across the GCW in vivo than is neutral albumin (37), conceivably due to a much higher molecular deformability.
| CALIBRATION OF MOLECULAR SIZE TO MW |
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]·MW) (20, 40). In Fig. 4, the
data of Bohrer et al. (6) for dextran and Ficoll in rats have been plotted vs. [
]·MW. Even though there seems to be a slightly better correspondence between polysaccharides and proteins with respect to glomerular permselectivity, Ficoll and dextran molecules still seem to be "hyperpermeable" compared with proteins, especially for molecules >30 Å in radius. We are thus again facing the problem that the sieving curves for dextran and Ficoll on the one hand and proteins on the other are different, conceivably due to differences in molecular deformability and shape. Dextran molecules deviate with respect to both shape and deformability, but those of Ficoll deviate conceivably due to an increased deformability compared with proteins. | LIMITATIONS OF USING PROTEINS AS MOLECULAR PROBES FOR GLOMERULAR PERMSELECTIVITY |
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for proteins in micropuncture studies exist (53), but they have been criticized because they imply exposure and mechanical interactions with an intact kidney. Furthermore, protein samples from the tubules may bind to the glass pipette, and interstitial proteins may leak into the tubules during micropuncture. Moreover, the tubular micropuncture procedure has to be done at sites distally to Bowman's capsule, and therefore primary urine cannot be directly assessed. Tubular protein concentration thus falls along the distance of the proximal tubule, because protein reabsorption is usually more avid than that of water. In an attempt to avoid all these sources of errors, Tojo and Endou (64), using a double-barrel pipette technique, avoided contamination from interstitial proteins. Furthermore, they assessed the tubular concentration of proteins together with that of a filtration marker (inulin) at various distances from Bowman's capsule. With this technique, they were able to quite precisely estimate the urinary albumin protein concentration in Bowman's capsule by an extrapolation procedure. With this careful technique, they estimated the
value from native albumin to be 6.2·104, which is in agreement with recent data obtained by a tissue-uptake technique in intact rat kidney or data using the cIPK (26, 37). Recently, the possibility of degradation of proteins by peptidases in renal proximal tubular cell brush borders has been indicated, at least after injection of (exogenous) radiolabeled albumin (24). Using a tissue-uptake technique and employing short periods of tracer sampling (short-term tracer accumulation) while recovering all radioactivity in urine and tissue (37) and/or preventing protein degradation by enzyme inhibition via cooling (30, 44, 45, 60), however, still yield a very low
for albumin. Furthermore, proteomic analysis of normal and Fanconi urine yields no evidence for significant excretion of plasma protein fragments in normal urine (43).
In an assessment of
for proteins using either micropuncture techniques, tissue-uptake techniques, or sieving experiments at low temperature (cIPK), only a few proteins of defined radii can be assessed. Furthermore, in such studies care should be taken to avoid protein-protein interactions, dimer formation, or binding to other proteins (cf. albumin) or to lipids. Also, the fact that even a "neutral protein" actually carries an equal number of positive and negative charges would surround such molecules with a mosaic of positively and negatively charged diffuse double layers. How such a complex double-layered structure would have an impact on the entry of such a (heterogeneously charged) molecule into a pore is not readily predicted.
The beauty of using polydisperse, inert polysaccharides as probes for glomerular permselectivity, besides avoiding the problems of using protein probes, is that a continuous range of molecular radii (from 15 up to 90 Å) can be assessed simultaneously, provided that proper size calibrations are made. The wealth of information from each experiment is great. Dextrans can be used in humans, whereas Ficoll, provided that minute tracer quantities are given, may also be used in clinical experiments (1, 4). It would thus be feasible to use dextran or Ficoll to probe glomerular pore characteristics in patients with pathophysiological glomerular alterations. However, becauae proteinuria is the clinical syndrome, and proteins show different sieving characteristics compared with polysaccharides, it would be desirable to find a way of converting glomerular sieving data for dextran and Ficoll into protein sieving characteristics. Thus it is the sieving property of the GCW vis-à-vis proteins that is the most relevant parameter clinically. The possibility that it is glomerular protein sieving that is actually abnormal and that the glomerular sieving of Ficoll, for example, is the one yielding a correct estimation of the real glomerular size selectivity cannot, however, be completely ruled out.
| CONCLUSIONS |
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To evaluate proteinuric conditions in, for example, experimental animal studies, it would thus be of value for an assessment of glomerular permselectivity to also use globular proteins as molecular probes, besides polysaccharides such as Ficoll or dextran. Polysaccharides are more deformable and, in the case of dextran, more asymmetric, than most globular proteins. Studies of glomerular protein transport are, however, problematic, because they require careful micropuncture or tissue-uptake techniques in animal models. For testing glomerular permeability in humans, we are still left with the only option available, namely, the assessment of dextran (or Ficoll)
. When probing glomerular permselectivity in humans, however, one should be aware of the relatively marked hyperpermeability that polysaccharides exhibit compared with globular proteins with equivalent in vitro SE radii. It would thus be worthwhile to try to translate the GCW sieving characteristics obtained for dextran and Ficoll into protein
. After all, it is the abnormal handling of proteins by the GCW, rather than that of polysaccharides, that is the physiologically relevant abnormality in proteinuric conditions.
| GRANTS |
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| ACKNOWLEDGMENTS |
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| FOOTNOTES |
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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.
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