A model of NaCl and water flow through paracellular pathways of renal proximal tubules.

To explain how hydrostatic pressure differences between tubule lumen and interstitium modulate isotonic reabsorption rates, we developed a model of NaCl and water flow through paracellular pathways of the proximal tubule. Structural elements of the model are a tight junction membrane, an intercellular channel whose walls transport NaCl actively at a constant rate, and a basement membrane. Equations of change were derived for the channel, boundary conditions were formulated from irreversible thermodynamics, and a pressure-area relationship typical of thin-walled tubing was assumed. The boundary value problem was solved numerically. The principal conclusions are: 1) channel NaCl concentration must remain within a few mOsm of isotonic values for reabsorption rates to be modulated by transtubular pressure differences known to affect this system: 2) basement membrane and channel wall parameters determine reabsorbate tonicity; tight junction parameters affect the sensitivity of reabsorption to transmural pressure; 3) channel NaCl concentration varies inversely with transmural pressure difference; this concentration variation controls NaCl diffusion through the tight junction; 4) modulation of NaCl diffusion through the tight junction controls the rate of isotonic reabsorption; modulation of water flow can increase sensitivity to transmural pressure; 5) no pressure-induced change in permeability of the tight junction or basement membrane is needed for pressure to modulate reabsorption; and 6) system performance is indifferent to the distribution of active transport sites, to the numerical value of the compliance function, and to the relationship between lumen and cell pressures.     

A model of epithelial water transport. The corneal endothelium.

To try to understand how an epithelial tissue can transport water between bathing solutions of equal tonicity and how intracellular solute and protein concentration are related to the structural specialization of the cell membrane at its apical, basal, and lateral margins, we have formulated and solved, using approximate analytical techniques, a new model which combines the detailed transport of local osmotic flow in extracellular channel with the multicompartment approach of thermodynamic models requiring the overall conservation of water and solute for the entire cell layer. Thus, unlike most previous models, which dealt exclusively with either the average properties of the cell layer or the local transport in the extracellular channel, we are able to solve simultaneously for the interaction of the cell with its environments across its apical, basal, and lateral cell membranes as well as the detailed transport in the extracellular channel. The model is then applied to corneal endothelium to obtain new insight into the water flow movement in this tissue under in vitro and in vivo conditions. Then in vitro solution shows that the cell at 297 mosmol/liter is slightly hypotonic to the 300-mosmol/liter external bathing solutions which drive water equally out both the aqueous (apical) and stromal (basal) cell faces. This water is replaced from the extracellular channel. There is a net flow of water because more water enters the channel through its open stromal end than through the higher resistance tight junction. In vivo, the solution predicts that the stromal swelling pressure forces water through the tight junctions towards the stroma so that there is no net flow. The interesting new features of our solution are the water recirculation pattern and the role of the osmotically active proteins in making the cell hypertonic relative to the channel.     

Epithelial water transport in a balanced gradient system.

The relationship between epithelial fluid transport, standing osmotic gradients, and standing hydrostatic pressure gradients has been investigated using a perturbation expansion of the governing equations. The assumptions used in the expansion are: (a) the volume of lateral intercellular space per unit volume of epithelium is small; (b) the membrane osmotic permeability is much larger than the solute permeability. We find that the rate of fluid reabsorption is set by the rate of active solute transport across lateral membranes. The fluid that crosses the lateral membranes and enters the intercellular cleft is driven longitudinally by small gradients in hydrostatic pressure. The small hydrostatic pressure in the intercellular space is capable of causing significant transmembrane fluid movement, however, the transmembrane effect is countered by the presence of a small standing osmotic gradient. Longitudinal hydrostatic and osmotic gradients balance such that their combined effect on transmembrane fluid flow is zero, whereas longitudinal flow is driven by the hydrostatic gradient. Because of this balance, standing gradients within intercellular clefts are effectively uncoupled from the rate of fluid reabsorption, which is driven by small, localized osmotic gradients within the cells. Water enters the cells across apical membranes and leaves across the lateral intercellular membranes. Fluid that enters the intercellular clefts can, in principle, exit either the basal end or be secreted from the apical end through tight junctions. Fluid flow through tight junctions is shown to depend on a dimensionless parameter, which scales the resistance to solute flow of the entire cleft relative to that of the junction. Estimates of the value of this parameter suggest that an electrically leaky epithelium may be effectively a tight epithelium in regard to fluid flow.     

Ion permeability and strength of cell contacts

Summary The effects of several simple parameters (pH, concentration of bivalent cations, osmotic pressure, and temperature) on the ion permeability and mechanical properties of cell contacts have been investigated. It has been shown that the mechanical properties of a cell contact make it possible to describe it as a viscoelastic system. The main contribution to cell adhesion is made by the tight junction. Two populations of acidic centers have been identified on the cell membrane surface. One population interacts with bivalent cations to assure cell adhesion. The other population of weaker acidic centers regulating ion permeation is involved in the cell membrane's interaction of the repulsion type. An intimate correlation has been established between changes in passive transepithelial ion permeability and cell adhesion in response to changes in pH and in bivalent cation concentration. Such a correlation is possible if the tight junction is the principal contributor to the passive ion permeability and mechanical strength of the cell contacts.     

Tight junction structure in relation to transepithelial resistance in the frog choroid plexus

In this communication we report observations on the tight junctions of the frog choroid plexus obtained by thin section and freeze-fracture electron microscopy. It is shown that the choroid plexus epithelial tight junctions comprise a relatively high number (mean 5-6, range 3-10) of continuous, anastomosing strands. This is remarkable in relation to: (1) recent observations that the frog choroidal epithelium has a very low transepithelial resistance, and (2) current concepts of the proportional relationship between transepithelial resistance and number of tight junction strands. It is concluded that there exists a marked lack of correlation between tight junction structure and function in the frog choroid plexus epithelium.     

Theoretical study of flow,pressure and solute concentration in double membrane systems

A model system consisting of two rigidly held membranes in series was investigated through the application of the Kedem and Katchalsky thermodynamic single membrane flow equations. This analysis results in predictions of the steady state flow properties as well as values for the solute concentration and pressure of the internal compartment when the system is under the influence of a constant solute concentration or hydrostatic pressure gradient. It is demonstrated that although the flow properties and internal compartment pressure are complicated functions of the membrane permeability coefficients and driving gradient across the system, the relationships are greatly simplified by the explicit appearance of the internal compartment steady state solute concentration in the equations. It is shown that the steady state volume flow rate depends on the absolute value of the solute concentration in the external compartments, as well as the solute concentration gradient across the system. The properties of non-linear dependence of volume flow on concentration gradient, and rectification of volume flow are discussed and shown to be independent properties of the system. For the system under the influence of a solute concentration gradient, the internal compartment pressure can be greater or less than the ambient pressure, and depends mainly on the order in which the membranes are encountered by the volume flow. These properties are qualitatively correlated with certain available experimental observations in biological systems.     

Single Water Channels of Aquaporin-1 Do not Obey the Kedem-Katchalsky Equations

The Kedem-Katchalsky (KK) equations are often used to obtain information about the osmotic properties and conductance of channels to water. Using human red cell membranes, in which the osmotic flow is dominated by Aquaporin-1, we show here that compared to NaCl the reflexion coefficient of the channel for methylurea, when corrected for solute volume exchange and for the water permeability of the lipid membrane, is 0.54. The channels are impermeable to these two solutes which would seem to rule out flow interaction and require a reflexion coefficient close to 1.0 for both. Thus, two solutes can give very different osmotic flow rates through a semi-permeable pore, a result at variance with both classical theory and the KK formulation. The use of KK equations to analyze osmotic volume changes, which results in a single hybrid reflexion coefficient for each solute, may explain the discrepancy in the literature between such results and those where the equations have not been employed. Osmotic reflexion coefficients substantially different from 1.0 cannot be ascribed to the participation of other 'hidden' parallel aqueous channels consistently with known properties of the membrane. Furthermore, we show that this difference cannot be due to second-order effects, such as a solute-specific interaction with water in only part of the channel, because the osmosis is linear with driving force down to zero solute concentration, a finding which also rules out the involvement of unstirred-layer effects. Reflexion coefficients smaller than 1.0 do not necessitate water-solute flow interaction in permeable aqueous channels; rather, the osmotic behaviour of impermeable molecular-sized pores can be explained by differences in the fundamental nature of water flow in regions either accessible or inaccessible to solute, created by a varying cross-section of the channel.     

Reassembly of the tight junction after oxidative stress depends on tyrosine kinase activity

Oxidative stress compromises the tight junction, but the mechanisms underlying its recovery remain unclear. We developed a model in which oxidative stress reversibly disrupts the tight junction. Exposure of Madin-Darby canine kidney cells to hydrogen peroxide markedly reduced transepithelial resistance and disrupted the staining patterns of the tight junction proteins ZO-1 and occludin. These changes were reversed by catalase. The short-term reassembly of tight junctions was not dependent on new protein synthesis, suggesting that recovery occurs through re-utilization of existing proteins. Although ATP levels were reduced, the reduction was insufficient to explain the observed changes, since a comparable reduction of ATP levels (with 2-deoxy-D-glucose) did not induce these changes. The intracellular hydrogen peroxide scavenger pyruvate protected Madin-Darby canine kidney cells from loss of transepithelial resistance as did the heavy metal scavenger N,N,N',N'-tetrakis(2-pyridylmethyl)ethylenediamine. Of a wide variety of agents examined, only tyrosine kinase inhibitors and protein kinase C inhibitors markedly inhibited tight junction reassembly. During reassembly, tyrosine phosphorylation in or near the lateral membrane, was detected by immunofluorescence. The tyrosine kinase inhibitors genistein and PP-2 inhibited the recovery of transepithelial resistance and perturbed the relocalization of ZO-1 and occludin to the tight junction, indicating that tyrosine kinases, possibly members of the Src family, are critical for reassembly after oxidative stress.     

Neutrophil migration across a cultured epithelial monolayer elicits a biphasic resistance response representing sequential effects on transcellular and paracellular pathways

Migration of polymorphonuclear leukocytes across epithelia is a hallmark of many inflammatory disease states. Neutrophils traverse epithelia by migrating through the paracellular space and crossing intercellular tight junctions. We have previously shown (Nash, S., J. Stafford, and J.L. Madara. 1987. J. Clin. Invest. 80:1104-1113), that leukocyte migration across T84 monolayers, a model human intestinal epithelium, results in enhanced tight junction permeability--an effect quantitated by the use of a simple, standard electrical assay of transepithelial resistance. Here we show that detailed time course studies of the transmigration-elicited decline in resistance has two components, one of which is unrelated to junctional permeability. The initial decrease in resistance, maximal 5-13 min after initiation of transmigration, occurs despite inhibition of transmigration by an antibody to the common beta subunit of neutrophil beta 2 integrins, and is paralleled by an increase in transepithelial short-circuit current. Chloride ion substitution and inhibitor studies indicate that the early-phase resistance decline is not attributable to an increase in tight junction permeability but is due to decreased resistance across epithelial cells resulting from chloride secretion. Since T84 cells are accepted models for studies of the regulation of Cl- and water secretion, our results suggest that neutrophil transmigration across mucosal surfaces (for example, respiratory and intestinal tracts) may initially activate flushing of the surface by salt and water. Equally important, these studies, by providing a concrete example of sequential transcellular and paracellular effects on transepithelial resistance, highlight the fact that this widely used assay cannot simply be viewed as a direct functional probe of tight junction permeability.     

Application of a fiber-matrix model to transport in renal tubules

The effects of tight junction structure on water and solute fluxes across proximal tubular epithelium were examined with fiber-matrix equations previously derived by Curry and Michel (1980. Microvascular Research. 20:96-99). Using plausible estimates of tight junction fiber length and width the model predicts solute (Ps) and water permeability (Lp) coefficients that agree with the measured values. When fiber-matrix and pore models were compared for physiologically relevant ranges of matrix void fraction (80-98%) and pore radii (0-20 A), the fiber-matrix model predicted a 10-fold higher Lp/Ps ratio. Lp/Ps was most sensitive to small changes in tight junction structure when void fractions exceeded 90%. Void fractions of 96.5% and 97.1% predicted previously measured values for Lp and solute permeabilities in rat and rabbit proximal tubules. These values are consistent with void fractions and permeabilities of artificial membranes. The fiber-matrix tight junction model was incorporated into a model of reabsorption from the rat proximal tubule developed by Weinstein (1984). American Journal of Physiology. 247:F848-F862.) A void fraction of 98% predicted the experimental results for isosmotic reabsorption driven by active transport. Changing void fraction over the range of 97-99% produced a 50-75% change in predicted volume reabsorption with active transport. According to the fiber-matrix model: (a) solute permeabilities alone cannot be used to predict Lp, (b) previously measured solute permeabilities in the proximal tubule are compatible with significant water reabsorption through a water-permeable tight junction, and (c) hydraulic and solute permeabilities may be sensitive to small changes in tight junction fiber length and diameter or ionic strength within the tight junction.     

The paracellular pathway in the lepidopteran larval midgut: modulation by intracellular mediators

The features of the paracellular pathway, an important route for the transfer of ions and molecules in epithelia, are in insects still poorly investigated and it has not yet been elucidated how the septate junction (SJ) acts as a transepithelial barrier. In this study, some properties of the paracellular pathway of Bombyx mori larval midgut, isolated in Ussing chambers, were determined and the modulation of SJ permeability by intracellular events disclosed. Diffusion potentials evoked by transepithelial gradients of different salts indicated that the junction bore weak negative charges and that the paracellular pathway was selective with respect to ion charge and size. In standard conditions, the transepithelial resistance was 28.2+/-2.1 Omega cm(2), a value indicating that the midgut is a low resistance epithelium. The modulation of midgut SJ by typical enhancers of mammalian tight junction permeability known to act on the cytoskeleton was studied by measuring the shunt resistance and the lumen-to-haemolymph flux of sucrose. An increase of the intracellular level of cAMP and Ca(2+) caused a significant decrease of the shunt resistance and an increase of SJ permeability. The attenuation of Ca(2+) effect in the presence of the calcium channel blocker nifedipine indicated that the influx of external Ca(2+) into the cytoplasm was important for the opening of the SJ, as well as the release of Ca(2+) from the intracellular stores.     

The tight junction as a barrier to cholesterol in canine epithelial cells

Filipin has been used to test several models of continuity or flow of lipid components through the tight junction. Cultured canine kidney cells (MDCK) were fixed and incubated in the presence of filipin. Freeze-fracture replicas were analyzed and densities of filipin-cholesterol complexes measured. Fractures of membranes linked with tight junctions were compared statistically to determine whether filipin-cholesterol complexes (protrusions and pits, independently) were randomly distributed between the two membranes of cells separated by the tight junction. The results indicate that filipin-cholesterol complexes are not randomly distributed across the tight junction. If the density of filipin-cholesterol complexes is an accurate indication of membrane cholesterol concentration, then there is a difference in the cholesterol concentration between leaflets of membranes joined by tight junctions and models of the tight junction which suggest leaflet continuity across the junction are in error.     

A time course study of water permeability and morphological alterations induced by mucosal hyperosmolarity in frog urinary bladder

Summary The role of the tight junction in the hydrosmotic response of the frog urinary bladder has been analysed by comparative kinetic studies and freeze etching examination. The comparison of the time course of the variations in transepithelial water net flux and of the alterations of tight junction ultrastructure in bladders exposed to mucosal hyperosmolar solutions shows that blisters are present in the tight junction before any increase in transepithelial water net flux. This indicates that the two phenomena are dissociated.In the same experimental conditions, freeze etching examination shows the presence in the tight junction of large areas of smooth and apparently stretched membrane where the typical network structure has disappeared. These alterations are reduced by further treatment with oxytocin and are probably not involved in the physiological hydrosomotic response.This work was supported in part by a grant from the Medical Research Council of Canada (J.H.).     

A mathematical model of solute coupled water transport in toad intestine incorporating recirculation of the actively transported solute

A mathematical model of an absorbing leaky epithelium is developed for analysis of solute coupled water transport. The non-charged driving solute diffuses into cells and is pumped from cells into the lateral intercellular space (lis). All membranes contain water channels with the solute passing those of tight junction and interspace basement membrane by convection-diffusion. With solute permeability of paracellular pathway large relative to paracellular water flow, the paracellular flux ratio of the solute (influx/outflux) is small (2-4) in agreement with experiments. The virtual solute concentration of fluid emerging from lis is then significantly larger than the concentration in lis. Thus, in absence of external driving forces the model generates isotonic transport provided a component of the solute flux emerging downstream lis is taken up by cells through the serosal membrane and pumped back into lis, i.e., the solute would have to be recirculated. With input variables from toad intestine (Nedergaard, S., E.H. Larsen, and H.H. Ussing, J. Membr. Biol. 168:241-251), computations predict that 60-80% of the pumped flux stems from serosal bath in agreement with the experimental estimate of the recirculation flux. Robust solutions are obtained with realistic concentrations and pressures of lis, and with the following features. Rate of fluid absorption is governed by the solute permeability of mucosal membrane. Maximum fluid flow is governed by density of pumps on lis-membranes. Energetic efficiency increases with hydraulic conductance of the pathway carrying water from mucosal solution into lis. Uphill water transport is accomplished, but with high hydraulic conductance of cell membranes strength of transport is obscured by water flow through cells. Anomalous solvent drag occurs when back flux of water through cells exceeds inward water flux between cells. Molecules moving along the paracellular pathway are driven by a translateral flow of water, i.e., the model generates pseudo-solvent drag. The associated flux-ratio equation is derived.     

On tight junction structure: Forssman glycolipid does not flow between MDCK cells in an intact epithelial monolayer

One model of tight junction structure suggests that lipids might flow from cell to cell within shared exoplasmic membrane leaflets. We tested this proposal by co-culturing two clones of MDCK epithelial cells, which differed in their content of Forssman glycolipid, and then staining by immunofluorescence with rabbit anti-Forssman Ig. In co-cultures grown on glass cover slips and on nitrocellulose filters, positive Forssman staining was restricted to sharply demarcated clusters of cells formed by the Forssman-positive clone. Integrity of tight junctions between the two clones was indicated on cover slips by the presence of individual domes (hemicysts) composed of both clones and on filters by the generation of transepithelial potential differences. These results suggest that glycolipids in the exoplasmic leaflet of cells in a tight epithelium do not flow to adjacent cells.     

Protein kinase inhibitors prevent junction dissociation induced by low extracellular calcium in MDCK epithelial cells

When epithelial cell cultures are transferred from a medium with a normal extracellular calcium concentration (1-2 mM) to a medium with a low extracellular calcium concentration (LC, less than 50 microM free Ca2+) cell-cell contacts are disrupted, and the tight junction-dependent transepithelial resistance drops. In this study, I used MDCK epithelial cells to investigate the effects of LC on the localization of the tight junction protein cingulin, and the role of protein kinases in the events induced by LC. Immunofluorescence analysis showed that within 15 min of incubation of confluent monolayers in LC, cingulin labeling was dislocated from the cell periphery, as an array of granules forming a ring-like structure. At later times after calcium removal, cingulin labeling appeared mostly cytoplasmic, in a diffuse and granular pattern, and cells appeared rounded and smaller. These events were not influenced by lack of serum, or by preincubation with 10 mM sodium azide or 6 mg/ml of cycloheximide. However, the disruption of cell-cell contacts, the cell shape changes, and the redistribution of cingulin and other junctional proteins induced by LC were inhibited when cells were pretreated with the protein kinase inhibitor H-7 (greater than or equal to 30 microM). The inhibitors H-8 and, to a lesser degree, staurosporine were also effective, whereas HA-1004 and ML-7 showed essentially no activity, suggesting a specificity of action of different inhibitors. Measurement of the transepithelial resistance showed that the kinase inhibitors that could prevent junction disassembly could also reduce the drop in transepithelial resistance induced by LC. Dose-response curves demonstrated that H-7 is the most effective among the inhibitors, and the transepithelial resistance was 70% of control up to 1 h after calcium removal. These results suggest that low extracellular calcium modulates junctional integrity and cytoskeletal organization through an effector system involving protein kinases.     

Passive Intercellular Pathway in Amphibian Epithelia

PHYSIOLOGIC studies of transporting epithelia generally indicate that passive shunts (or “leak” pathways for water and ions) exist in parallel with transport systems. Most notably, Ussing^1–3 defines this pathway as an extracellular channel in amphibian skin and has shown that a hypertonic external bath decreases the transepithelial electrical resistance, whereas a hypertonic internal bath has the opposite effect. Similar results have been obtained with toad urinary bladder⁴, but in virtually all of the epithelia studied by electron microscopy, tight junctions⁵ have been found at the luminal end of intercellular spaces. Apparent fusion of adjacent plasma membranes and the inability of electron-dense tracer molecules to pass through such regions^5–8 suggest that they may be tight seals, preventing extracellular transepithelial flow. It is shown that these junctions are reproducibly altered when electrical resistance is changed by hypertonic solutions.     

Tight junction structure and ZO-1 content are identical in two strains of Madin-Darby canine kidney cells which differ in transepithelial resistance

The relationship of tight junction permeability to junction structure and composition was examined using two strains of Madin-Darby canine kidney (MDCK) cells (I and II) which differ greater than 30-fold in transepithelial resistance. This parameter is largely determined by paracellular, and hence junctional, permeability under most conditions. When these two strains of cells were grown on permeable filter supports, they formed monolayers with equivalent linear amounts of junction/area of monolayer. Ultrastructural analysis of these monolayers by thin section EM revealed no differences in overall cellular morphology or in tight junction organization. Morphometric analysis of freeze-fractured preparations indicated that the tight junctions of these two cell strains were similar in both number and density of junctional fibrils. Prediction of transepithelial resistance for the two strains from this freeze-fracture data and a published structure-function formulation (Claude, P. 1978, J. Memb. Biol. 39:219- 232) yielded values (I = 26.5 omega/cm2, II = 35.7 omega/cm2) that were significantly lower than those observed (I = 2,500-5,000 omega/cm2, II = 50-70 omega/cm2). Consistent with these structural studies, a comparison of the distribution and cellular content of ZO-1, a polypeptide localized exclusively to the tight junction, revealed no significant differences in either the localization of ZO-1 or the amount of ZO-1 per micron of junction (I = 1,415 +/- 101 molecules/micron, II = 1,514 +/- 215 molecules/micron).     

Osmosis: a bimodal theory with implications for symmetry

A theory is advanced that volume transfer across a membrane pore during osmosis takes place in two modes: if solute is sterically excluded from the pore a pressure gradient is set up and viscous flow of solvent results; if solute can enter the pore then osmotic flow is a diffusive phenomenon, and there is no pressure gradient in any part of the pore to which solute has access, even at low concentration due to a repulsive wall field. As a consequence the reflexion coefficients sigma s and sigma f for osmosis and ultrafiltration are not equal, although equality is usually assumed to result from an underlying thermodynamic reciprocity; instead, the two coefficients represent essentially different processes. These results follow from three basic thermodynamic considerations which have usually been overlooked: (i) there is a qualitative difference between a permeable pore and an impermeable one, the latter having a discontinuity of solute activity at the mouth, which the former does not; (ii) the osmotic pressure within the pore is determined by the activity of solute not the concentration; (iii) the effective resistance to flow through a channel depends upon the nature of the régime, being different for diffusive and viscous flow. An expression for sigma s is derived and shown to be compatible with experimental data on polymer membranes and homoporous bilayers.     

Neutrophil transepithelial migration: evidence for sequential,contact-dependent signaling events and enhanced paracellular permeability independent of transjunctional migration

Active migration of polymorphonuclear leukocytes (PMN) through the intestinal crypt epithelium is a hallmark of inflammatory bowel disease and correlates with patient symptoms. Previous in vitro studies have shown that PMN transepithelial migration results in increased epithelial permeability. In this study, we modeled PMN transepithelial migration across T84 monolayers and demonstrated that enhanced paracellular permeability to small solutes occurred in the absence of transepithelial migration but required both PMN contact with the epithelial cell basolateral membrane and a transepithelial chemotactic gradient. Early events that occurred before PMN entering the paracellular space included increased permeability to small solutes (<500 Da), enhanced phosphorylation of regulatory myosin L chain, and other as yet undefined proteins at the level of the tight junction. No redistribution or loss of tight junction proteins was detected in these monolayers. Late events, occurring during actual PMN transepithelial migration, included redistribution of epithelial serine-phosphorylated proteins from the cytoplasm to the nucleus in cells adjacent to migrating PMN. Changes in phosphorylation of multiple proteins were observed in whole cell lysates prepared from PMN-stimulated epithelial cells. We propose that regulation of PMN transepithelial migration is mediated, in part, by sequential signaling events between migrating PMN and the epithelium.