Water flow across the walls of single muscle capillaries in the frog, Rana pipiens

Computational pulmonary edema: A microvascular model of alveolar capillary and interstitial flow

We present a microvascular model of fluid transport in the alveolar septa related to pulmonary edema. It consists of a two-dimensional capillary sheet coursing by several alveoli. The alveolar epithelial membrane runs parallel to the capillary endothelial membrane with an interstitial layer in between, making one long septal tract. A coupled system of equations uses lubrication theory for the capillary blood, Darcy flow for the porous media of the interstitium, a passive alveolus, and the Starling equation at both membranes. Case examples include normal physiology, cardiogenic pulmonary edema, acute respiratory distress syndrome (ARDS), hypoalbuminemia, and effects of PEEP. COVID-19 has dramatically increased ARDS in the world population, raising the urgency for such a model to create an analytical framework. Under normal conditions fluid exits the alveolus, crosses the interstitium, and enters the capillary. For edema, this crossflow is reversed with fluid leaving the capillary and entering the alveolus. Because both the interstitial and capillary pressures decrease downstream, the reversal can occur within a single septal tract, with edema upstream and clearance downstream. Clinically useful solution forms are provided allowing calculation of interstitial fluid pressure, crossflows, and critical capillary pressures. Overall, the interstitial pressures are found to be significantly more positive than values used in the traditional physiological literature. That creates steep gradients near the upstream and downstream end outlets, driving significant flows toward the distant lymphatics. This new physiological flow provides an explanation to the puzzle, noted since 1896, of how pulmonary lymphatics can function so far from the alveoli: the interstitium is self-clearing.

Computational pulmonary edema: A microvascular model of alveolar capillary and interstitial flow

We present a microvascular model of fluid transport in the alveolar septa related to pulmonary edema. It consists of a two-dimensional capillary sheet coursing by several alveoli. The alveolar epithelial membrane runs parallel to the capillary endothelial membrane with an interstitial layer in between, making one long septal tract. A coupled system of equations is derived using lubrication theory for the capillary blood, Darcy flow for the porous media of the interstitium, a passive alveolus, and the Starling equation at both membranes. Case examples include normal physiology, cardiogenic pulmonary edema, noncardiogenic edema Acute Respiratory Distress Syndrome (ARDS) and hypoalbuminemia, and the effects of positive end expiratory pressure. COVID-19 has dramatically increased ARDS in the world population, raising the urgency for such a model to create an analytical framework. Under normal conditions, the fluid exits the alveolus, crosses the interstitium, and enters the capillary. For edema, this crossflow is reversed with the fluid leaving the capillary and entering the alveolus. Because both the interstitial and capillary pressures decrease downstream, the reversal can occur within a single septal tract, with edema upstream and clearance downstream. Overall, the interstitial pressures are found to be significantly more positive than values used in the traditional physiological literature that creates steep gradients near the upstream and downstream end outlets, driving significant flows toward the distant lymphatics. This new physiological flow may provide a possible explanation to the puzzle, noted since 1896, of how pulmonary lymphatics can function so far from the alveoli: the interstitium can be self-clearing.

Microperfusion Technique to Investigate Regulation of Microvessel Permeability in Rat Mesentery

Experiments to measure the permeability properties of individually perfused microvessels provide a bridge between investigation of molecular and cellular mechanisms regulating vascular permeability in cultured endothelial cell monolayers and the functional exchange properties of whole microvascular beds. A method to cannulate and perfuse venular microvessels of rat mesentery and measure the hydraulic conductivity of the microvessel wall is described. The main equipment needed includes an intravital microscope with a large modified stage that supports micromanipulators to position three different microtools: (1) a beveled glass micropipette to cannulate and perfuse the microvessel; (2) a glass micro-occluder to transiently block perfusion and enable measurement of transvascular water flow movement at a measured hydrostatic pressure, and (3) a blunt glass rod to stabilize the mesenteric tissue at the site of cannulation. The modified Landis micro-occlusion technique uses red cells suspended in the artificial perfusate as markers of transvascular fluid movement, and also enables repeated measurements of these flows as experimental conditions are changed and hydrostatic and colloid osmotic pressure difference across the microvessels are carefully controlled. Measurements of hydraulic conductivity first using a control perfusate, then after re-cannulation of the same microvessel with the test perfusates enable paired comparisons of the microvessel response under these well-controlled conditions. Attempts to extend the method to microvessels in the mesentery of mice with genetic modifications expected to modify vascular permeability were severely limited because of the absence of long straight and unbranched microvessels in the mouse mesentery, but the recent availability of the rats with similar genetic modifications using the CRISPR/Cas9 technology is expected to open new areas of investigation where the methods described herein can be applied.

Quantification of blood-brain barrier solute permeability and brain transport by multiphoton microscopy

Development of an optimal systemic drug delivery strategy to the brain will require noninvasive or minimally invasive methods to quantify the permeability of the cerebral microvessel wall or blood-brain barrier (BBB) to various therapeutic agents and to measure their transport in the brain tissue. To address this problem, we used laser-scanning multiphoton microscopy to determine BBB permeability to solutes (P) and effective solute diffusion coefficients (Deff) in rat brain tissue 100-250 μm below the pia mater. The cerebral microcirculation was observed through a section of frontoparietal bone thinned with a microgrinder. Sodium fluorescein, fluorescein isothiocyanate (FITC)-dextrans, or Alexa Fluor 488-immunoglobulin G (IgG) in 1% bovine serum albumin (BSA) mammalian Ringer's solution was injected into the cerebral circulation via the ipsilateral carotid artery by a syringe pump at a constant rate of ∼3 ml/min. P and Deff were determined from the rate of tissue solute accumulation and the radial concentration gradient around individual microvessels in the brain tissue. The mean apparent permeability P values for sodium fluorescein (molecular weight (MW) 376 Da), dextran-4k, -20k, -40k, -70k, and IgG (MW ∼160 kDa) were 14.6, 6.2, 1.8, 1.4, 1.3, and 0.54 × 10-7 cm/s, respectively. These P values were not significantly different from those of rat pial microvessels for the same-sized solutes (Yuan et al., 2009, "Non-Invasive Measurement of Solute Permeability in Cerebral Microvessels of the Rat," Microvasc. Res., 77(2), pp. 166-73), except for the small solute sodium fluorescein, suggesting that pial microvessels can be a good model for studying BBB transport of relatively large solutes. The mean Deff values were 33.2, 4.4, 1.3, 0.89, 0.59, and 0.47 × 10-7 cm2/s, respectively, for sodium fluorescein, dextran-4k, -20k, -40k, -70k, and IgG. The corresponding mean ratio of Deff to the free diffusion coefficient Dfree, Deff/Dfree, were 0.46, 0.19, 0.12, 0.12, 0.11, and 0.11 for these solutes. While there is a significant difference in Deff/Dfree between small (e.g., sodium fluorescein) and larger solutes, there is no significant difference in Deff/Dfree between solutes with molecular weights from 20,000 to 160,000 Da, suggesting that the relative resistance of the brain tissue to macromolecular solutes is similar over a wide size range. The quantitative transport parameters measured from this study can be used to develop better strategies for brain drug delivery.

The role of free radical generation in increasing cerebrovascular permeability

The brain endothelium constitutes a barrier to the passive movement of substances from the blood into the cerebral microenvironment, and disruption of this barrier after a stroke or trauma has potentially fatal consequences. Reactive oxygen species (ROS), which are formed during these cerebrovascular accidents, have a key role in this disruption. ROS are formed constitutively by mitochondria and also by the activation of cell receptors that transduce signals from inflammatory mediators, e.g., activated phospholipase A₂ forms arachidonic acid that interacts with cyclooxygenase and lipoxygenase to generate ROS. Endothelial NADPH oxidase, activated by cytokines, also contributes to ROS. There is a surge in ROS following reperfusion after cerebral ischemia and the interaction of the signaling pathways plays a role in this. This review critically evaluates the literature and concludes that the ischemic penumbra is a consequence of the initial edema resulting from the ROS surge after reperfusion.

Non-invasive measurement of solute permeability in cerebral microvessels of the rat

To quantify the solute permeability of rat cerebral microvessels, we measured the apparent permeability (P) of pial microvessels to various sized solutes. The pial microcirculation was observed by a high numerical aperture objective lens through a section of the frontoparietal bone thinned with a micro-grinder (a revised method from Easton and Fraser, 1994, J Physiol. 475:147-157, 1994). Sodium fluorescein (MW 376) at concentration 0.1 mg/ml or FITC-dextrans (MW 4k, 10k, 20k, 40k, 70k) at concentration 1 mg/ml in 1% BSA mammalian Ringer, was introduced into the cerebral circulation via the ipsilateral carotid artery by a syringe pump at a constant rate of approximately 3 ml/min. P was determined using a highly sensitive quantitative fluorescence imaging and analyzing method. The mean P to sodium fluorescein was 2.71 (+/-0.76 SD, n=11)x10(-6) cm/s. The mean P to FITC-dextrans were 0.92 (+/-0.46 SD, n=10)x10(-6) cm/s for Dextran-4k, 0.31 (+/-0.13 SD, n=7)x10(-6) cm/s for Dextran-10k, 0.24 (+/-0.10 SD, n=6)x10(-6) cm/s for Dextran-20k, 0.19 (+/-0.11 SD, n=10)x10(-6) cm/s for Dextran-40k, and 0.15 (+/-0.05 SD, n=11)x10(-6) cm/s for Dextran-70k. These values were 1/10 to 1/6 of those of rat mesenteric microvessels for similar sized solutes (Fu, B.M., Shen, S., 2004. Acute VEGF effect on solute permeability of mammalian microvessels in vivo. Microvasc. Res. 68, 51-62.).

Cooling by cutaneous water evaporation in the heat-acclimated rock pigeon (Columba livia)

The present study provides an up-to-date overview of the cutaneous water-evaporation cooling mechanism in the rock pigeon. Cutaneous water evaporation fully replaces the classic respiratory cooling mechanism in the resting, heat-acclimated bird, and is more economical in terms of water conservation. It enables the pigeon to maintain homeostasis, and to breed successfully in harsh environments. Adrenergic signaling is involved in the initiation of this novel mechanism, either by deactivation of the beta-adrenergic receptors (ARs), or activation of the alpha-AR. The adrenergic signaling results in a marked increase in cutaneous blood flow and in the arterial-to-venous blood-flow ratio. This is associated with alterations in the cutaneous capillary wall ultrastructure, which increase its permeability to plasma proteins and water. The end result of this process might be an increase in water efflux from the capillary lumen. The properties of beta-ARs were measured in the cardiac muscle of thermal-acclimated pigeons. Significant down-regulation in the density of beta-ARs, associated with increased affinity of these receptors, was measured in the heat-acclimated pigeon. Concomitantly, changes in the skin ultrastructure and lipid composition were found in very well defined patches in the epidermis of heat-acclimated pigeons. These suppress the skin resistance to water transfer. We suggest that this cooling mechanism involves finely orchestrated adjustments in the ultrastructure of the skin and the cutaneous capillaries, and in skin blood flow. Adrenergic signals are among those factors that regulate this cooling mechanism during exposure to a hot environment.

Heat stress induces ultrastructural changes in cutaneous capillary wall of heat-acclimated rock pigeon

In heat-acclimated rock pigeons, cutaneous water evaporation is the major cooling mechanism when exposed at rest to an extremely hot environment of 50-60 degrees C. This evaporative pathway is also activated in room temperature by a beta-adrenergic antagonist (propranolol) or an alpha-adrenergic agonist (clonidine) and inhibited by a beta-adrenergic agonist (isoproterenol). In contrast, neither heat exposure nor drug administration activates cutaneous evaporation in cold-acclimated pigeons. To elucidate the mechanisms underlying this phenomenon, we studied the role of the ultrastructure and permeability of the cutaneous vasculature. During both heat stress and the administration of propranolol and clonidine, we observed increased capillary fenestration and endothelial gaps. Similarly, propranolol increased the extravasation of Evans blue-labeled albumin in the skin tissue. We concluded that heat acclimation reinforces a mechanism by which the activation of adrenergic signal transduction pathways alters microvessel permeability during heat stress. Consequently the flux of plasma proteins and water into the interstitial space is accelerated, providing an interstitial source of water for sustained cutaneous evaporative cooling.

Microvascular permeability

This review addresses classical questions concerning microvascular permeabiltiy in the light of recent experimental work on intact microvascular beds, single perfused microvessels, and endothelial cell cultures. Analyses, based on ultrastructural data from serial sections of the clefts between the endothelial cells of microvessels with continuous walls, conform to the hypothesis that different permeabilities to water and small hydrophilic solutes in microvessels of different tissues can be accounted for by tortuous three-dimensional pathways that pass through breaks in the junctional strands. A fiber matrix ultrafilter at the luminal entrance to the clefts is essential if microvascular walls are to retain their low permeability to macromolecules. Quantitative estimates of exchange through the channels in the endothelial cell membranes suggest that these contribute little to the permeability of most but not all microvessels. The arguments against the convective transport of macromolecules through porous pathways and for the passage of macromolecules by transcytosis via mechanisms linked to the integrity of endothelial vesicles are evaluated. Finally, intracellular signaling mechanisms implicated in transient increases in venular microvessel permeability such as occur in acute inflammation are reviewed in relation to studies of the molecular mechanisms involved in signal transduction in cultured endothelial cells.

How to stay cool in a hot desert--a lesson from the rock pigeon

This review presents an overview of the puzzle called "cutaneous water evaporation (CWE) cooling mechanism" in birds. Heat acclimation of the rock pigeon induces cellular modifications that affect the myocardium, cutaneous vasculature, and the epidermis, and hence enable the initiation of CWE. These cells are the targets for adrenergic signals that participate in the mechanism that controls the initiation and intensity of CWE. As a result the cardiac performance of the heat acclimated pigeon is intensified in response to adrenergic agents, and peripheral blood vessels and the epidermis both increase their permeability in response to heat stress. The CWE cooling mechanism is more economical in terms of water conservation, and provides more efficient protection to its owner, compared to the 'classic' respiratory cooling mechanism. Moreover, current data present the rock pigeon--a small diurnal homeotherm--as a classic model for a desert bird.

Relationship between microvascular permeability and ultrastructure

This article attempts to review some of the advances made during the past few years in our understanding of the nature of the barrier presented by the endothelial cell wall and how it may contribute to the regulation of exchange between blood and tissues. It has concentrated on a small number of experimental techniques which have yielded information on the correlation between structure and function of the endothelial cell wall and which have emphasized the potentially dynamic characteristics of the barrier. Whilst there now seems to be little dispute as to the location of the fluid conducting channels across the endothelial cell wall, within the clefts, fenestrae and in inflammation the open cell junctions, it has proved difficult to identify the molecular filter which limits macromolecular exchange across these pathways. In fenestrated endothelium it has been suggested that the filter resides at the fenestral diaphragms or in the underlying basement membrane, while in continuous endothelium there is strong support in the literature that the filter is located within the intercellular cleft, at regions of closely apposed cell membranes, or in the case of a vesicular pathway, at the necks or diaphragms of the vesicle openings. Alternatively, there is a considerable and increasing body of experimental evidence that macromolecular movement is retarded by the endothelial cell coat which lines the whole of the endothelial cell surface and covers the openings of interendothelial cell clefts, fenestral diaphragms and vesicle openings. It is believed to comprise glycoproteins secreted and regulated by the endothelial cells themselves and to have associated with it plasma proteins, particularly serum albumin. Expression of this glycocalyx and its modification have been demonstrated in vivo and in cultures of isolated endothelial cells, in vitro. Experiments using single microvessels in which a correlation between structure and function can be most readily made, offer further evidence that the clefts between endothelial cells are quantitively more than sufficient in extent to accommodate the fluid fluxes measured in even the most highly permeable vessels. They further demonstrate that the dramatic increases in fluid flux seen in inflammation result from a modulation of endothelial cell shape to form interendothelial cell gaps by activation of intracellular contractile mechanisms, mediated by changes in intracellular calcium. Increases in macromolecular leakage may only be seen when gap formation is accompanied by extensive modulation of the intercellular cement substance, or glycocalyx filling those gaps.(ABSTRACT TRUNCATED AT 400 WORDS)

Measurement of filtration coefficient in single cerebral microvessels of the frog

1. This study reports the first results of measurements of filtration coefficient (Lp) and osmotic reflection coefficient to sucrose (sigma suc) in single brain microvessels. 2. Microvessels on the surface of frog brain were cannulated with a micropipette and perfused with an artificial cerebrospinal fluid (CSF) containing the low molecular weight impermeant dye carboxyfluorescein (MW 376). The superfusing solution was a similar CSF which could be made hypertonic by the addition of 40-125 mmol l-1 sucrose. 3. Vessels were assessed for dye retention using video-intensified microscopy after occlusion with a glass microneedle. Only six vessels out of a total of ninety-five were tight under the experimental conditions used. Those vessels which were tight were occluded while an osmotic load was applied across them. When this load was 50 mosmol l-1 and less, the steady-state dye concentration within the vessel lumen was similar to that predicted assuming the endothelium behaves as a perfect semipermeable membrane, with concentration polarization of solute. 4. The product Lp sigma was estimated in two ways: (i) from the fitted monoexponential function that described the rising dye concentration within the occluded segment, and (ii) from the initial rate of increase in dye concentration. The two values obtained were similar and it was concluded that sigma NaCl = sigma suc = 1, and the best estimate for filtration coefficient Lp = 2.0 x 10(-9) cm (cmH2O s)-1. 5. At the osmotic loads of 100 mosmol l-1 and more, the initial rate of increase estimate of Lp sigma was less than half of the whole curve estimate, the axial dye distributions were dissimilar from those predicted by a mathematical model based on the perfect semipermeable membrane, and the steady-state concentration was less than 70% of that expected. These findings are consistent with a diffusive pathway having opened. The model was modified to include patches of vessel wall which had developed leaks and a good fit to the data was obtained with a sucrose permeability and an Lp similar to skeletal muscle endothelium. 6. The possibility that water passes through a paracellular pathway across the intact blood-brain barrier is discussed. It is concluded that this pathway could not be detected by the methods used and can carry no more than 50% of the water driven by a hydrostatic pressure gradient.

Role of albumin arginyl sites in albumin-induced reduction of endothelial hydraulic conductivity

We determined the effect of albumin on endothelial hydraulic conductivity (Lp) and the contributions of the positively charged arginyl and lysinyl residues of albumin in mediating the effect. Studies were made using monolayers of cultured sheep pulmonary artery endothelial cells grown to confluence on polycarbonate filters. Water flux was measured as transendothelial hydrostatic pressure was varied from 5 to 20 cm H2O. Lp was calculated from the slope of the relationship of water flux versus pressure. The Lp of endothelial monolayers perfused with albumin-free Hanks Balanced Salt Solution (HBSS) was compared to perfusion with HBSS containing either native albumin, or albumin in which the arginyl residues were modified by a condensation reaction with 1,2-cyclohexanedione (CHD-albumin), or albumin in which the lysinyl residues were modified by a substitution reaction with succinic anhydride (SC-albumin). Baseline Lp at 2.5 mg/ml native albumin was 1.6 +/- 0.1 X 10(-6) cm/s/cm H2O compared to the filter Lp after removing cells of 3.0 +/- 0.3 X 10(-4) cm/s/cm H2O. Endothelial Lp increased by 60% when albumin concentration was decreased from 2.5 mg/ml to 0.5 mg/ml (P less than 0.05), but did not change with an increase in concentration to 10 mg/ml. Albumin-free buffer and CHD-albumin increased endothelial Lp by 2.2 +/- 0.3-fold and 1.9 +/- 0.3-fold, respectively (P less than 0.05). All endothelial Lp values were restored to baseline when the native albumin concentration was returned to 2.5 mg/ml. Excess l-arginine (2 X 10(-3) M) inhibited the effect of native albumin and increased endothelial Lp 1.5 +/- 0.02-fold (P less than 0.05), but excess l-lysine (4 X 10(-3) in the presence of native albumin had no effect on Lp. None of the perfusates altered the filter Lp value. Neutral dextran (70 kD), in contrast to native albumin, had no effect on endothelial Lp. These results indicate that albumin reduces the hydraulic conductivity of endothelial monolayers in a concentration-dependent fashion and that the arginyl residues of albumin are required for the response. The effect of albumin may be mediated by a charge interaction of albumin with the endothelium.

Quantitative comparisons of hydraulic permeability and endothelial intercellular cleft dimensions in single frog capillaries

1. We have investigated the ultrastructure of the intercellular clefts of the walls of single capillaries and venules of the frog mesentery in which the hydraulic permeability (Lp) and the reflection coefficient of the vessel walls to serum albumin (sigma BSA) had been measured using the micro-occlusion technique of Michel (1980). Our aim was to investigate whether the dimensions of the clefts were sufficient to accommodate the pathways through the vessel walls necessary to account for the measured permeability. 2. Lp was measured in seventeen individually perfused vessels. The walls of fourteen of these were relatively impermeable to macromolecules with a sigma to albumin greater than 0.66 (mean value 0.83, S.E.M. +/- 0.04). The Lp of these fourteen vessels ranged from 1.8 x 10(-7) to 12.5 x 10(-7) cm s-1 cmH2O-1 and had a mean value of 5.9 (S.E.M. +/- 0.85) x 10(-7) cm s-1 cmH2O-1. 3. Cleft dimensions estimated from electron micrographs of 642 transversely sectioned endothelial cell junctions from the same seventeen vessels gave a value for the mean cleft width (W) of 0.0220 micron (S.E.M. +/- 0.0064 micron). The mean depth of the clefts from luminal to abluminal surface of the endothelium (delta x) was 0.395 micron (S.E.M. +/- 0.091 micron) with a range of 0.104-1.70 micron. The cleft length per unit area of cell wall (L), calculated using the formulation of Bundgaard & Frøkjaer-Jensen (1982), was 2064 (S.E.M. +/- 112) cm cm-2. Measurements were also made of cleft dimensions from longitudinally sectioned junctions from five of the seventeen vessels. 4. The fraction of the surface area of capillary wall occupied by the clefts (Ap = LW) had a mean value of 0.0048 (+/- 0.00014) for all seventeen vessels with a range of 0.0030-0.0074 when estimated from transverse sections. There was no correlation between the variation of Lp between different vessels and the variations of Ap. 5. Data from the fourteen vessels when sigma BSA was greater than 0.66 revealed a correlation between values of Lp and the reciprocal of delta x (r = 0.6675, P less than 0.01). No correlation was found between Lp and the mean thickness of the endothelial cells in the vicinity of the clefts. This is strong evidence for the intercellular cleft being the principal pathway for fluid movements. Variation in cleft depth appears to be a factor determining variation in permeability between different capillaries.(ABSTRACT TRUNCATED AT 400 WORDS)

Capillary permeability and how it may change

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Transport of molecules across tumor vasculature

The vascular-extravascular exchange of fluid and solute molecules in a tissue is determined by three transport parameters (vascular permeability, P, hydraulic conductivity, Lp, and reflection coefficient, sigma); the surface area for exchange, A; and the transluminal concentration and pressure gradients. The transport parameters and the exchange area for a given molecule are governed by the structure of the vessel wall. In general, tumor vessels have wide interendothelial junctions; large number of fenestrae and transendothelial channels formed by vesicles; and discontinuous or absent basement membrane. While these factors favor movement of molecules across tumor vessels, high interstitial pressure and low microvascular pressure may retard extravasation of molecules and cells, especially in large tumors. These characteristics of the transvascular transport have significant implications in tumor growth, metastasis, detection and treatment.

Steady-state fluid filtration at different capillary pressures in perfused frog mesenteric capillaries

1. The theory of steady-state filtration through capillary walls (Michel, 1984) has been developed and investigated in experiments on single capillaries of the frog mesentery perfused with Ringer solutions containing bovine serum albumin (BSA) and Ficoll 70. 2. In each experiment, the micro-occlusion technique of Michel, Mason, Curry, Tooke & Hunter (1974) has been used to investigate the relation between fluid movements per unit area of capillary wall (Jv/A) and capillary pressure (Pc) under two sets of conditions in the same vessel. First, the relation has been determined following brief perfusions, where the difference in oncotic pressure across the capillary wall approximated to the perfusate oncotic pressure at all values of Pc. These results are referred to as the transient data. Secondly, the relation was investigated by estimating Jv/A at values of Pc which had been maintained constant during at least 2 min of perfusion prior to the measurement. Under these conditions the concentration of macromolecules in the pericapillary fluid was determined by the steady-state composition of the filtrate passing through the capillary wall, and these results are referred to as steady-state data. 3. In all fifteen capillaries investigated, the relationship between Jv/A and Pc was linear for the transient data and conspicuously non-linear in the steady state. When Pc exceeded the oncotic pressure of the perfusate, steady-state values for Jv/A lay slightly above but parallel to the transient values for the same vessel. At values of Pc less than the perfusate oncotic pressure, the transient data showed reabsorption of fluid from the tissues, but in the steady state either fluid movements were so small as to be undetected or slight filtration was observed. The steady-state data followed the pattern predicted by theory. 4. The transient data were used to estimate the reflection coefficient of the capillary wall (sigma) to the macromolecular solute. In seven vessels, the mean sigma to BSA was 0.76 (S.E. of mean +/- 0.04) and in eight different vessels mean sigma to Ficoll 70 in the presence of BSA (10 mg ml-1) was 0.98 (S.E. of mean +/- 0.05). The steady-state data were consistent with the prediction that the oncotic pressure opposing high filtration rates approximates to sigma 2 pi c in the steady state, where pi c is the perfusate oncotic pressure.(ABSTRACT TRUNCATED AT 400 WORDS)

Capillary permeability in rat hindquarters as determined by estimations of capillary reflection coefficients

Osmotic reflection coefficients (sigma) for a variety of solutes ranging from NaCl to albumin were determined in perfused maximally vasodilated rat hindquarters employing the osmotic transient method (Vargas & Johnson 1964). Measurements were performed at high flows and using short tubings with small volumes. Intracapillary solute concentrations of the osmotic transients were measured or estimated for solutes of the size of inulin or smaller. The PS for Cr-EDTA and cyanocobalamine were determined repeatedly in half of the experiments using an on-line modification of the single injection (indicator diffusion) method (Rippe & Stage 1978) and capillary filtration coefficients (CFC or LpS) were followed in all experiments. The capillary osmotic reflection coefficient was determined to 0.05 for NaCl, to 0.08 for sucrose, to 0.39 for inulin, to 0.57 for myoglobin and to 0.87 for albumin. These reflection coefficients were compatible with a 'small pore radius' of approximately 40 A (slit width (w) of approximately 50 A) according to modern hydrodynamic theories for the reflection coefficient and the parallel transcapillary pathway hypothesis. The best fit of the osmotic transient data to current theories for the reflection coefficient occurred if the major portion (86-87%) of the hydraulic conductivity (Lp) was accounted for by this paracellular 'small pore' (slit) pathway and if 3.0-4.1% of Lp could be ascribed to a transcellular pathway (sigma approximately I) while the remaining fraction (10%) of Lp was accounted for by a non-selective paracellular pathway (sigma approximately o); that is, by 'large pores'.