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Departments of 1Nephrology and 2Experimental Medical Sciences, Lund University, Lund, Sweden; and 3Department of Biomedicine, Section of Physiology, University of Bergen, Bergen, Norway
Submitted 23 December 2005 ; accepted in final form 24 February 2006
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ABSTRACT |
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 TOP ABSTRACT MATERIALS AND METHODSRESULTSDISCUSSIONAPPENDIXGRANTSREFERENCES |
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-shaped vesicular structures postulated to play a role in transvascular protein transport. Studies on mice lacking endothelial caveolae, caveolin-1 knockout (Cav-1-KO) mice, indicate increased macromolecular transport rates. This was postulated to be due to the appearance of an alternative pathway. The present study tested whether an alternative pathway had appeared in Cav-1-KO mice. Male Cav-1-KO (n = 12) and male control mice (n = 13) were intubated and anesthetized using 2% isoflurane. 125I-labeled albumin, 131I-labeled immunoglobulin M (IgM), and polydisperse FITC-Ficoll were administered intravenously. During tracer administration, a 90-min peritoneal dialysis dwell was performed. Clearance of tracers to dialysate and permeability-surface area product for glucose were assessed. Transvascular protein transport was higher in Cav-1-KO compared with control mice. Albumin clearance from plasma to peritoneum was 0.088 ± 0.008 µl/min in control and 0.179 ± 0.012 µl/min in Cav-1-KO (P = 0.001) mice. IgM clearance was 0.049 ± 0.003 and 0.083 ± 0.010 µl/min in control and Cav-1-KO mice, respectively (P = 0.016). Ficoll clearance was increased in Cav-1-KO mice. In conclusion, the lack of caveolae in Cav-1-KO mice resulted in a marked increase in macromolecular transport. A two-pore analysis of the Ficoll clearance data revealed that the higher transport rate in Cav-1-KO mice was not compatible with the appearance of an alternative pathway for macromolecular transport. In contrast, the higher transperitoneal protein and Ficoll clearance is consistent with passive porous transport through an unperturbed two-pore system, presumably at an elevated capillary hydraulic pressure. Alternatively, the data may be explained by reductions in the selectivity of the endothelial glycocalyx, leading to an increased capillary hydraulic conductivity and large solute filtration.
permeability; pores; transcytosis; vesicles; macromolecules
The evidence in favor of endothelial transcytosis is to a large extent based on morphological studies (15, 19, 22, 37, 38). There is, however, strong evidence that a vast majority of the apparently "free" plasmalemmal vesicles seen in routine electron microscopic sections are actually part of complex invaginations of the endothelial cell membrane (1), raising doubt about the classic "shuttle" hypothesis (8). Furthermore, because transcytosis must be a temperature-dependent transport mechanism, it should be highly sensitive to temperature reductions. However, tissue cooling did not reduce albumin transport more than could be predicted by the temperature-induced increases in viscosity following cooling (24, 33, 35). Moreover, porous transport through water-filled channels is dependent on hydraulic pressure, whereas transcytosis would not be primarily coupled to hydrostatic pressure. Because several studies have indicated a pressure dependence of the transcapillary passage of albumin, and to some extent of LDL, this again supports the contention that macromolecules are transported via porous pathways and not via vesicles (24, 35, 36). Other attempts to study the importance of transcytosis in protein trafficking include the use of chemicals that interfere with transcytosis dynamics, such as the transcytosis inhibitors N-ethylmaleimide (NEM) and filipin. It was suggested that NEM markedly inhibits the transvascular transport of small proteins and albumin in cell cultures in vitro and also in perfusion experiments in situ (20–22, 37, 38). These results, however, have been seriously questioned, since we and others have clearly demonstrated that NEM induces toxic endothelial damage in rat lung, aorta, peritoneum, and skeletal muscle (4, 13, 30, 32), whereas it was not able to inhibit transcytosis in nontoxic concentrations.
The latest approach in the study of transendothelial protein transport is the use of caveolin-1 knockout (Cav-1-KO) mice. Caveolae are 50- to 100-nm-wide, -shaped plasma membrane invaginations. Ever since their first description some 50 years ago (14), they have been ascribed many functions, including signaling, interactions with enzymes, and protein transport via transcytosis. Caveolin is the principal marker for caveolae. The mammalian caveolin gene family codes for caveolin-1, -2, and -3. Caveolin-1 and -2 are coexpressed and are frequently found in many cell types, including endothelial cells. Caveolin-3 expression, however, is muscle specific and found in heart, skeletal, and smooth muscle. Caveolin-1-deficient mice do not form endothelial caveolae, but the mice are viable, fertile, and appear largely normal (6). Schubert and coworkers (39) recently published the first attempt to study transvascular protein transport in Cav-1-KO mice and suggested the mice to be hyperpermeable to albumin. The authors speculated that this was due to the de novo appearance of a transport route across the endothelium in the Cav-1-KO mice, compensating for the lack of transcytosis.
In the present study we show that, despite the loss of transcytosis, macromolecular transport is higher in Cav-1-KO mice but not due to the presence of an alternative paracellular pathway. We conclude that transvascular transport of macromolecules is compatible with passive filtration across large pores. The higher macromolecular transport rates in Cav-1-KO mice are conceivably due to a higher filtration rate of macromolecules through large pores, driven by an elevated capillary hydraulic pressure. The higher capillary pressure may be due to precapillary vasodilatation caused by the increased endothelial nitric oxide (NO) synthase (eNOS) activity in the Cav-1-KO mice. Alternatively, the data may be explained by a reduced selectivity of the endothelial glycocalyx in Cav-1-KO mice, giving rise to an increased capillary hydraulic conductivity and large solute filtration. Such modifications may arise in response to the higher NO levels in Cav-1-KO mice (7). Furthermore, we supply the first data on hemodynamic parameters in Cav-1-KO mice.
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MATERIALS AND METHODS |
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TOPABSTRACTMATERIALS AND METHODSRESULTSDISCUSSIONAPPENDIXGRANTSREFERENCES |
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General surgery and anesthesia. Anesthesia was induced by placing the mice in a small plastic cage containing 4% isoflurane (Isoflurane Forene, Abbot Scandinavia, Solna, Sweden) in room air using an Univentor 400 Anaesthesia unit (Univentor, Zejtan, Malta). The mice were then transferred to a heating pad (Temperature Control Unit HB 101/2, Panlab, Barcelona, Spain) where body temperature was kept constant at 37 ± 1°C with a rectal probe, and the fur over the abdomen was closely shaved. While anesthesia was maintained with a small mask covering the nose, a tracheotomy was performed. After intubation, anesthesia was maintained and controlled by using 2% isoflurane in room air and a small animal respirator (Mouse ventilator 28025, Ugo Basile, Comerio, Italy). Tidal volume was set at 0.35 ml, and a positive end-expiratory pressure of 5–6 mmHg was applied to prevent pulmonary atelectasis. The right jugular vein was cannulated for the infusion of saline and for the administration of tracers. The left femoral artery was cannulated for blood sampling and for continuous monitoring of blood pressure on a polygraph (Model 7B; Grass Instruments, Quincy, MA). A catheter (0.7 mm, Neoflon, Becton Dickinson Infusion Therapy, Helsingborg, Sweden) was inserted into the lower right quadrant of the abdominal wall for dialysis fluid infusion and sampling.
Peritoneal dialysis protocol. In peritoneal dialysis (PD), a hyperosmotic solution is instilled into the peritoneal cavity to remove excess fluid and metabolites from the blood of patients with impaired renal function (28). In this study, PD was performed in control and Cav-1-KO mice using 2.5 ml of PD fluid (Gambrosol Trio, Gambro, Lund, Sweden), which essentially is a lactated Ringer solution containing 1.5% glucose as the osmotic agent (osmolarity, 357 mosm/l). The peritoneal volume was chosen by scaling down the corresponding dialysis volume from human subjects. However, a negotiation between scaling versus body weight and body surface area was applied to achieve a volume large enough for reliable measurements, without raising the intraperitoneal pressure significantly. The dialysis fluid was warmed to 37°C in a heating bath before infusion. The mice were allowed to stabilize for at least 20 min after surgery. 125I-labeled human serum albumin (0.1 MBq; Isopharma, Kjeller, Norway) and 131I-labeled immunoglobulin M (IgM; 0.1 MBq) were given as a bolus dose in the right jugular vein at the onset of the dwell to assess their clearance (Cl) from plasma to dialysate. Blood samples were drawn at 0, 5, 10, 20, 40, 60, and 90 min of the dwell (10 µl for analysis of radioactivity and 3 µl for blood glucose determination). In addition, 40 µl of blood were drawn for measurement of hematocrit at 5, 60, and 90 min of the dwell. Dialysate was sampled at 0, 5, 10, 20, 40, 60, and 90 min of the dwell (50 µl for analysis of radioactivity and 25 µl for glucose measurements). After completion of the dwell period (90 min), the peritoneal cavity was opened and the dialysis fluid was totally recovered using a syringe and preweighed gauze tissues. Dialysate volume, as well as the albumin clearance from peritoneum to plasma (as a marker of direct lymphatic absorption), was assessed from separate experiments using 125I-labeled human serum albumin as a volume marker (5 control and 4 Cav-1-KO mice) (40). The average dialysate volume versus time curve and the albumin clearance from peritoneum to plasma, for respective strain, were then used for clearance calculations and for calculation of PS.
Tracer labeling and characterization. Ficoll was labeled with FITC (Sigma, St. Louis, MO). Ficoll (0.1 g) was dissolved in 1 ml DMSO (Sigma). Sodium bicarbonate (2 mg) and FITC (10 mg) were added, and the solution was heated for 15 min at 100°C. Ethanol (20 ml) was slowly added to the sample, which was precipitated overnight. The FITC-Ficoll was centrifuged (1,000 rpm for 15 min), and the pellet resolved in 2 ml phosphate buffer. pH was adjusted to 6.5–7.0. The labeled Ficoll was purified from free FITC on a desalting column (Sephadex G-25 PD-10, Amersham Biosciences).
125I-labeled human serum albumin was obtained from Isopharma. The level of free tracer in the solution was <0.3%, as determined after precipitation using 10% trichloroacetic acid. IgM was labeled by the iodogen method. IgM (1 mg) was labeled with 300 µg of iodogen. After labeling was completed, the product was purified on a PD-10 column. A 2-ml fraction was separated with a purity of 97.1%. The specific activity was 29.5 MBq/mg. Based on the HPLC pattern, there were no signs of fragmentation or formation of dimers. The level of free tracer in the 131I-labeled IgM was <0.5%.
To reduce the level of free tracer and possible fragments of labeled substances, all radiolabeled proteins were centrifuged before the intravascular administration on Amicon YM-30 filters (Millipore, Bedford, MA) with a molecular mass cutoff of 30 kDa.
Analysis of blood and dialysate. Before measurements of radioactivity, all blood and dialysate samples were precipitated with 10% trichloroacetic acid to minimize the impact of free label. The samples were then centrifuged, the supernatant was removed (containing the free label), and the activity in the pellet was measured. Blood and dialysate samples were analyzed for radioactivity on a gamma counter (Wizard 1480; LKB-Wallac, Turku, Finland). Appropriate corrections for radioactive decay and spillover between the two isotope channels for 125I and 131I were done. Blood glucose concentrations were measured instantly on a Glucometer DEX 2 (Bayer, Göteborg, Sweden), whereas dialysate samples were analyzed for glucose concentration on an YSI 2300D (YSI, Yellow Springs, OH).
Analysis of Ficoll clearance.
Forty-three minutes after the onset of the PD dwells, the mice were injected with a bolus dose (50 µl) of a mixture (1:24) of FITC-Ficoll 400 (Sigma) and FITC-Ficoll 70 (Pharmacia, Uppsala, Sweden) of 
50 mg/ml. A serum sample was drawn 27 min after the bolus injection of Ficoll. The plasma disappearance of Ficoll was more or less linear in the time interval for clearance measurements, and thus the midpoint plasma concentration could be used as an estimate of plasma Ficoll concentration. Dialysate was collected after 46 min. Serum and dialysate samples were subjected to high-pressure size exclusion chromatography (HPSEC) using a system from Waters (Milford, MA) containing pump (Waters 1525), absorbance detector (Waters 2487), and a fluorescence detector (Waters 2475). The samples were analyzed at an excitation wavelength of 492 nm and an emission wavelength of 518 nm. The system was controlled using the Breeze software (Waters). Size exclusion was achieved with an Ultrahydrogel-500 column (Waters), using a 0.05 M phosphate buffer with 0.15 M NaCl (pH 7.4) as mobile phase. The column was calibrated with narrow Ficoll standards (73 Å, 59 Å, 46 Å, 38 Å, and 30 Å) kindly provided by Dr. Torvald Andersson (Pharmacia). Ficoll dialysate-to-plasma ratio (D/P) was calculated by dividing the dialysate concentration from the HPSEC with the average plasma concentration (plasma after 27 min of Ficoll exposure, corresponding to the mean plasma concentration over the experimental period). Ficoll clearance was then calculated by multiplying the D/P with the average intraperitoneal volume and dividing by the experimental time.
Electron microscopy and morphology. After PD and under isoflurane anesthesia, PBS was rapidly infused through the carotid artery until fluid in the outflow catheter was blood-free in two controls and two Cav-1-KO mice. Thereafter, 20 ml of fixation solution (PBS, 1% formaldehyde, and 2.5% glutaraldehyde) were infused. The abdomen was cut open, and the abdominal wall was carefully dissected and placed in vials with fixation solution. Preparations were kept at 4°C overnight and moved to the same solution without glutaraldehyde, in which they were kept until they were postfixed for 1 h using osmium tetroxide. After dehydration in graded ethanols, the tissues were embedded in Durcupan, and ultrathin sections were cut and contrasted with uranyl acetate and lead citrate. Digital images were obtained in a transmission electron microscope.
Calculations and statistical analysis. We have chosen to interpret our data in terms of the two-pore model (23), which is relatively simple and straightforward, although other more sophisticated models of capillary permselectivity exist (5). The two-pore model is used daily in software designed to predict and describe the peritoneal exchanges during PD in patients worldwide. Details regarding the two-pore fit and the fiber matrix-pore model are given in the APPENDIX. Clearance calculations were performed as described in previous publications (2, 3, 25, 27) from the mass transfer of tracer per unit time divided by the average plasma concentration of tracer. PS for glucose was averaged from sequential measurements throughout the dwell, setting the sieving coefficient at 0.57. All data are expressed as means ± SE. Statistical differences were analyzed using Mann-Whitney's test on the computer program SPSS 11.0.1 for Macintosh OSX (SPSS, Chicago, IL).
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RESULTS |
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TOPABSTRACTMATERIALS AND METHODSRESULTSDISCUSSIONAPPENDIXGRANTSREFERENCES |
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There was an abundance of caveolae in the capillary endothelial cells from the abdominal wall of control mice (Fig. 1) as shown using electron microscopy. However, in the Cav-1-KO mice, caveolae were absent. Adherence junctions between capillary endothelial cells had a similar appearance in the sections examined from control and Cav-1-KO mice.
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L) was 0.021 ± 0.002 in control and 0.017 ± 0.003 in Cav-1-KO (NS). However, the large pore fluid flow (JvL) was doubled (P = 0.005) in Cav-1-KO mice (0.20 ± 0.03 µl/min) compared with control (0.07 ± 0.01 µl/min). Small molecular transfer, as measured by PS for glucose, was 0.049 ± 0.003 and 0.053 ± 0.003 ml/min in control and Cav-1-KO mice, respectively (NS).
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DISCUSSION |
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TOPABSTRACTMATERIALS AND METHODSRESULTSDISCUSSIONAPPENDIXGRANTSREFERENCES |
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The transport of proteins (albumin and IgM) and high molecular weight Ficoll was significantly higher in the Cav-1-KO compared with control mice in the present study (Figs. 2–4). Schubert et al. (39) also concluded that a higher albumin transport is present in Cav-1-KO mice with the use of a different methodology. The higher macromolecular clearances in Cav-1-KO mice can be interpreted in four ways: 1) A newly formed, alternative paracellular pathway is opened in Cav-1-KO mice; 2) the number of large pores in a preexisting two-pore system is increased; 3) the large pore volume flow in this system is increased (23); or 4) the selectivity of the endothelial glycocalyx to solute transport is reduced (5).
Previous reports (6, 39), regarding the transvascular transport rates of macromolecules, have speculated that the high transport rate in Cav-1-KO mice was due to the appearance of an "alternative" paracellular route. IgM transport through "normal" large pores (
200 Å radii) is relatively restricted. On the contrary, albumin transport through these pores is only restricted to a minor degree. Hence, the opening of a new large diameter route would affect the largest molecule (IgM) to a greater extent than albumin (23). This was not observed. In the same manner, the relative difference in clearance for small and large Ficolls would be smaller, giving rise to a more flat permeability profile in the high molecular weight portion. Again, this pattern was not seen for the Ficoll clearance data. Furthermore, the opening of a new paracellular pathway would impact on the large-pore radii. The two-pore analysis, however, did not reveal different large-pore radii for Cav-1-KO compared with control mice. Thus it is unlikely that a new paracellular pathway had appeared in Cav-1-KO mice.
Another parameter obtained by the two-pore analysis is the fractional hydraulic conductivity through large pores (L). Increasing the frequency of large pores would increase the L and lead to increased filtration of macromolecules. However, the L in control and Cav-1-KO mice were not significantly different according to the two-pore analysis. Thus it is unlikely that the increased protein transport in Cav-1-KO mice is due to an increased number of large pores.
The third possibility is that the large pore volume flow (JvL) may be increased, giving rise to the higher macromolecular transport. Indeed, the two-pore analysis revealed a significantly higher JvL (P = 0.005) in Cav-1-KO compared with control (0.20 ± 0.03 vs. 0.08 ± 0.009 µl/min) mice. Although the mechanism is unknown, a possible explanation could be the higher level of NO due to alleviation of an inhibitory influence of caveolin-1 on eNOS (6). NO is a well-known vasodilator (9, 16), and the higher level of NO may give rise to vasodilatation in resistance vessels and thus a higher capillary hydraulic pressure and, consequently, an increased JvL. Thus more macromolecules would be transported by convection across the large pores.
We have chosen a pore model to describe peritoneal permeability in control and Cav-1-KO mice, because this is the "classical" and most simple and straightforward way of describing membrane transport data. Furthermore, a heteroporous membrane model (the so-called three-pore model) has been extensively and successfully used in conjunction with PD to model solute and fluid transport as a function of variations in dialysate osmotic agent (26), dialysate ion composition (31), and variations in a number of physiological parameters affecting transport (29). An alternative way of describing the data is by applying a fiber matrix-pore model (5). In this model the main size-selective structures are within the glycocalyx, covering the endothelial cells on the luminal side. The rationale for this approach is that NO may affect essential structures within the endothelial glycocalyx (7) and thus represents the fourth possibility of explaining the observed transport pattern. We have modeled a fiber matrix coupled in series with interendothelial slits or pores as a "prefilter." In the simplest variant of this model, the slits or pores are almost completely nonrestrictive, and the main size selectivity is within the matrix itself (11). A more detailed description of the analysis and the outcome is given in the APPENDIX. Applying this model to the present data yields an almost perfect fit of the model to experimental Ficoll clearance data versus molecular radius (ae). A relatively small reduction in fiber density was found to result in a near doubling of the hydraulic conductance of the matrix and a moderately reduced selectivity. Across the low-density fiber region, these alterations can fully explain the increased apparent fluid flow, and macromolecular filtration, through the less dense region. Thus, if capillary size selectivity is assumed to reside mainly in the glycocalyx, a rather moderate change in glycocalyx density can explain the Cav-1-KO data without assuming any accompanying changes in microvascular pressure.
In the electron-microscopic sections, there was an abundance of caveolae in wild-type mice in abdominal wall capillary endothelial cells (Fig. 1), whereas in the Cav-1-KO mice there was a complete lack of endothelial vesicles. Furthermore, the tight junction morphology displayed no signs of abnormalities in any of the sections examined. Thus quantitative clearance data, modeling of measured data, and morphologic data fail to support the appearance of an alternative pathway or any abnormality in tight junctions in Cav-1-KO mice.
The capillaries involved in peritoneal exchange have continuous capillary walls. This type of capillary bed is prominent throughout the body and responsible for exchanges in tissues such as musculature, connective tissue, and adipose tissue. A large portion of the total cardiac output is circulated through continuous capillary beds. The values of tracer loss from plasma reported by Schubert and coworkers (39) reflect the whole animal and all types of vascular beds, including leaky fenestrated capillary beds such as in secretory glands, liver, viscera, and kidney (that is more or less impermeable to molecules such as albumin). Given the higher basal level of NO in Cav-1-KO mice, a lower blood pressure may be expected in these mice. However, the systemic MAP was almost identical in control and Cav-1-KO mice. Furthermore, the heart rate did not differ between control and Cav-1-KO mice. Cav-1-KO mice may, nonetheless, have a higher capillary pressure in the absence of a higher MAP due to NO-mediated precapillary vasodilatation.
The two-pore model does not take into account the distribution of vessels within the tissue, and large molecules are somewhat restricted in their passage through the interstitium. Across a double-layered capillary-interstitial serial barrier, the total transport resistance is largely determined by the barrier that offers the highest resistance (25). For macromolecules, the resistance across the capillary wall is tremendous compared with the resistance across the interstitium (25). Furthermore, no obvious signs of a modified interstitium could be seen in the electron microscopy sections taken from both strains. Moreover, the transperitoneal transport of small molecules, such as glucose, may actually be modified by the interstitium (34). For small solutes, the interstitium may thus add a significant transport resistance, and a change in the interstitial dimensions may impact on the transport of these. This was not seen. It is therefore not likely that a change in the interstitium has contributed to the increased large solute transport in Cav-1-KO mice.
In a previous paper, Schubert et al. (39) attempted to investigate microvascular transport of albumin in Cav-1-KO mice. As in the present study, the authors found a higher transport of albumin in KO mice and postulated that this was due to the de novo appearance of a compensatory pathway in Cav-1-KO mice. Their method was simply to inject 125I-labeled albumin in the tail vein of the mice and then to collect blood samples at a few time points up to 60 min. The method represents a measurement of tracer disappearance from the plasma compartment and not a quantification of clearance. The injected volume in a mouse must not exceed 50 µl (5% of plasma volume) because the total plasma volume is very small (1 ml). The injection artifact induced by Schubert and coworkers was substantial, however, due to the large volume injected (150 µl) and was different among control and Cav-1-KO mice. Furthermore, Schubert et al. (39) measured the uptake of radiolabeled albumin to various tissues (Fig. 2). In tissue uptake studies of macromolecules, it is pivotal to remove all remaining tracer from the vascular compartment (by a wash-out procedure) because most of the macromolecule distribution is within the vasculature. This can only be achieved by vascular perfusion and washout. Schubert and coworkers, however, only washed the dissected tissues thoroughly in PBS. Under these circumstances, the measured tissue uptake will reflect the amount of tracer remaining in the vascular compartment. Hence, all of the most blood-rich tissues showed the highest accumulation in the study by Schubert et al. Because the Cav-1-KO mice may be more vasodilated due to the increased NO-levels, their tissues are expected to have a higher blood content.
Schubert and coworkers speculated that the hyperpermeability of the Cav-1-KO mice may be due to the presence of high NO levels. However, the effect of NO on microvascular permeability is subject to great controversy (10). In vitro studies with blood-free perfusion have shown an increased capillary permeability induced by NO (10), whereas in vivo studies using blood perfusion consistently demonstrate a reduced microvascular permeability by NO in physiological concentrations (10, 17, 18). To support their contention of increased permeability due to NO, Schubert et al. repeated their experiments on albumin disappearance with or without pretreating the mice with nitro-L-arginine methyl ester (L-NAME), which is a known inhibitor of eNOS. The albumin disappearance from plasma was reduced in KO animals after L-NAME, but no effect was seen for the wild-type mice. However, these results can also be explained by precapillary vasodilatation by NO, as discussed above. Thus Cav-1-KO mice may increase their vascular tone due to the inhibitory effect of L-NAME, and, as a consequence, the capillary pressure will decrease and thus the JvL, giving rise to a reduced albumin clearance. That the acute application of L-NAME would lead to a rapid (within minutes) growth of the endothelial glycocalyx, one of the tentative explanations of the altered clearance in the Cav-1-KO mice, seems less likely but cannot be entirely ruled out.
To summarize, we found no evidence that transcytosis, mediated by caveolae would serve as a quantitatively important mode of the transport of albumin, IgM, or Ficoll across the endothelium in vivo. All in all, our data contradict the contention of active transport of bulk proteins across the peritoneal capillaries in vivo, as well as the concept of an alternative transport pathway in Cav-1-KO mice. Rather, they are consistent with passive, convective protein transport through large pores in the microvascular walls. Macromolecular transport was increased in Cav-1-KO mice, conceivably due to precapillary vasodilatation, caused by an increased eNOS activity in mice lacking Cav-1, giving rise to an increased capillary hydrostatic pressure and thus a higher filtration rate of macromolecules through large pores. Alternatively, the endothelial glycocalyx may have been modified due to the high NO levels in Cav-1-KO mice, giving rise to an increased capillary hydraulic conductivity and an enhanced transvascular filtration of macromolecules.
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APPENDIX |
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TOPABSTRACTMATERIALS AND METHODSRESULTSDISCUSSIONAPPENDIXGRANTSREFERENCES |
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The unidirectional Cl data were fitted to a two-pore model of membrane permeability (23) using a nonlinear least-squares regression analysis. In detail, the function to be minimized was
 | (1) |
The estimated parameters were the small- and large-pore radii (rs and rL, respectively), the fractional hydraulic conductivity accounted for by the large pores (L), and the fluid flow through the large pores (JvL). However, because the numerical values of these parameters differ by several orders of magnitude (6 from rL to L), a set of scaling multipliers was introduced so that the minimization algorithm had to deal with parameters near to unity.
Fiber-Matrix-Pore Model Fit
For comparison with the two-pore modeling, we have also made a fit of average Ficoll clearance data vs. molecular radii (ae) using a bimodal selectivity fiber matrix model, as described in detail by Michel (11). The fiber radius was set at 5 Å, and the fiber density was assumed to be essentially homogeneous, except for 1% of the matrix, showing a lower density. Fiber densities (1 – fractional void volume) of the dense and loose regions were adapted to match experimental data in control and, after allowing for a slightly increased volume flow through the loose regions, to the corresponding data in Cav-1-KO mice. Thus, to model the data for control mice, a fractional fiber volume of 5.5% (fractional void volume, 0.945) and a fiber radius of 5 Å were applied. A small fraction of the surface area (1% of the fiber matrix), accounting for 0.06 µl/min of the total fluid flow with a density of 0.4%, had also to be added to fit the data at high-molecular radii (ae > 50 Å). In Cav-1-KO mice, the data were best described if the fractional fiber volume was reduced to 4.8% (fractional void volume, 0.952) for a fluid flow through the low-density matrix regions of 0.07 µl/min, where the fiber density was reduced to 0.3%.
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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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