Freeze-fracture and tracer studies on the intercellular junctions of insect rectal tissues.

Both rectal pads of the cockroach and rectal papillae of the blowfly possess highly infolded lateral borders; these are associated by desmosomes and septate junctions that maintain the physical integrity of the cell layer at the luminal and basal intercellular regions. Adjacent cells are coupled by gap junctions that allow for cell-to-cell communication and which occur at intervals along the undulating lateral clefts. In rectal pads, occluding basal tight junctions are found as well as extensive scalariform junctions. The latter, like the stacked membrane infoldings of rectal papillae, exhibit intercellular columns and numerous intramembranous P face particles; these are undoubtedly involved in ion transport. In the inter-stack clefts of papillae, reticular septate junctions are encountered which, after freeze-fracture, possess a striking network of PF ridges and EF grooves that are discontinuous and not always complementary. These may serve to regulate the speed and extent of distension of the clefts during solute movement to allow for even and effective fluid flow in this transporting epithelium.     

On the influence of a leaky tight junction on water and solute transport in epithelia

The role of a leaky tight junction in epithelia is examined by considering the flow of water and solute through a channel consisting of two sections representing the intercellular space and tight junction. Two cases are considered, flow through a channel with a circular cross-section and flow between parallel planes. Analytical solutions are obtained using the isotonic convection approximation. The flow is driven by active transport of solute and imposed concentration and pressure differences. Particular attention is paid to the flux of solute through the tight junction. It is shown that the shape of the channel cross-section is important.The theory is applied to the rat proximal tube epithelium. It is deduced that the emergent osmolarity is close to that predicted for a closed tight junction, but that transepithelial hydrostatic pressure differences are potentially important. The influence of transepithelial concentration differences appears to be unimportant in this model.     

Isotonic Water Transport in Secretory Epithelia ,

The model proposed by Diamond and Bossert [1] for isotonic water transport has received wide acceptance in recent years. It assumes that the local driving force for water transport is a standing osmotic gradient produced in the lateral intercellular spaces of the epithelial cell layer by active solute transport. While this model is based on work done in absorptive epithelia where the closed to open direction of the lateral space and the direction of net transport are the same, it has been proposed that the lateral spaces could also serve as the site of the local osmotic gradients for water transport in secretory epithelia, where the closed to open direction of the lateral space and net transport are opposed, by actively transporting solute out of the space rather than into it. Operation in the backward direction, however, requires a lower than ambient hydrostatic pressure within the lateral space which would seem more likely to cause the space to collapse with loss of function. On the other hand, most secretory epithelia are characterized by transport into a restricted ductal system which is similar to the lateral intercellular space in the absorptive epithelia in that its closed to open direction is the same as that of net transport. In vitro micropuncture studies on the exocrine pancreas of the rabbit indicate the presence of a small but statistically significant increase in juice osmolality, 6 mOsm/kg H₂O, at the site of electrolyte and water secretion in the smallest extralobular ducts with secretin stimulation which suggests that the ductal system in the secretory epithelia rather than the lateral intercellular space is the site of the local osmotic gradients responsible for isotonic water transport.     

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.     

The effect of osmotically induced water flows on the permeability and ultrastructure of the rabbit gallbladder

Summary The purpose of these experiments was to determine the effect of osmotic gradients on the permeability of the rabbit gallbladder. Increasing the tonicity of the mucosal solution reduced the permeability of the gallbladder to both ions and nonelectrolytes, whereas there was no significant effect when the serosal solution was made hypertonic. These results cannot be explained by solvent/solute interactions in either the epithelial membranes or the unstirred layers. Associated with the changes in permeability was the appearance of the transport number effect and current induced resistance changes. Morphological studies of the gallbladder under these conditions showed that the extracellular spaces of the epithelium and the rest of the wall dilate in the presence of osmotic flow to the serosa, but that the spaces collapse when the flow is in the opposite direction. Reconstruction of the permeability changes from the dimensions of the tissue show that all the physiological phenomena are accounted for by the changes in morphology, the dominant effect being in the lateral intercellular spaces. These results suggest that the lateral spaces are a common pathway shared by all solutes crossing the epithelium, and that diffusion along these spaces becomes rate limiting as the spaces collapse.     

Optimizing automated characterization of liver fibrosis histological images by investigating color spaces at different resolutions

Background

7D-cadherins like LI-cadherin are cell adhesion molecules and represent exceptional members of the cadherin superfamily. Although LI-cadherin was shown to act as a functional Ca²⁺-dependent adhesion molecule, linking neighboring cells together, and to be dysregulated in a variety of diseases, the physiological role is still enigmatic. Interestingly 7D-cadherins occur only in the lateral plasma membranes of cells from epithelia of water transporting tissues like the gut, the liver or the kidney. Furthermore LI-cadherin was shown to exhibit a highly cooperative Ca²⁺-dependency of the binding activity. Thus it is tempting to assume that LI-cadherin regulates the water transport through the epithelium in a passive fashion by changing its binding activity in dependence on the extracellular Ca²⁺.

Results

We developed a simple mathematical model describing the epithelial lining of a lumen with a content of variable osmolarity covering an interstitium of constant osmolarity. The width of the lateral intercellular cleft was found to influence the water transport significantly. In the case of hypertonic luminal content a narrow cleft is necessary to further increase concentration of the luminal content. If the cleft is too wide, the water flux will change direction and water is transported into the lumen. Electron microscopic images show that in fact areas of the gut can be found where the lateral intercellular cleft is narrow throughout the lateral cell border whereas in other areas the lateral intercellular cleft is widened.

Conclusions

Our simple model clearly predicts that changes of the width of the lateral intercellular cleft can regulate the direction and efficiency of water transport through a simple epithelium. In a narrow cleft the cells can increase the concentration of osmotic active substances easily by active transport whereas if the cleft is wide, friction is reduced but the cells can hardly build up high osmotic gradients. It is now tempting to speculate that 7D-cadherins, owing to their location and their Ca²⁺-dependence, will adapt their binding activity and thereby the width of the lateral intercellular cleft automatically as the Ca²⁺-concentration is coupled to the overall electrolyte concentration in the lateral intercellular cleft. This could provide a way to regulate the water resorption in a passive manner adapting to different osmotic conditions.     

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.     

Osmotic Flow of Water across Permeable Cellulose Membranes

Direct measurements have been made of the net volume flow through cellulose membranes, due to a difference in concentration of solute across the membrane. The aqueous solutions used included solutes ranging in size from deuterated water to bovine serum albumin. For the semipermeable membrane (impermeable to the solute) the volume flow produced by the osmotic gradient is equal to the flow produced by the hydrostatic pressure RT ΔC, as given by the van't Hoff relationship. In the case in which the membrane is permeable to the solute, the net volume flow is reduced, as predicted by the theory of Staverman, based on the thermodynamics of the steady state. A means of establishing the amount of this reduction is given, depending on the size of the solute molecule and the effective pore radius of the membrane. With the help of these results, a hypothetical biological membrane moving water by osmotic and hydrostatic pressure gradients is discussed.     

Standing-gradient osmotic flow. A mechanism for coupling of water and solute transport in epithelia

At the ultrastructural level, epithelia performing solute-linked water transport possess long, narrow channels open at one end and closed at the other, which may constitute the fluid transport route (e.g., lateral intercellular spaces, basal infoldings, intracellular canaliculi, and brush-border microvilli). Active solute transport into such folded structures would establish standing osmotic gradients, causing a progressive approach to osmotic equilibrium along the channel's length. The behavior of a simple standing-gradient flow system has therefore been analyzed mathematically because of its potential physiological significance. The osmolarity of the fluid emerging from the channel's open end depends upon five parameters: channel length, radius, and water permeability, and solute transport rate and diffusion coefficient. For ranges of values of these parameters encountered experimentally in epithelia, the emergent osmolarity is found by calculation to range from isotonic to a few times isotonic; i.e., the range encountered in epithelial absorbates and secretions. The transported fluid becomes more isotonic as channel radius or solute diffusion coefficient is decreased, or as channel length or water permeability is increased. Given appropriate parameters, a standing-gradient system can yield hypertonic fluids whose osmolarities are virtually independent of transport rate over a wide range, as in distal tubule and avian salt gland. The results suggest that water-to-solute coupling in epithelia is due to the ultrastructural geometry of the transport route.     

PATHS OF TRANSTUBULAR WATER FLOW IN ISOLATED RENAL COLLECTING TUBULES

The cells of perfused rabbit collecting tubules swell and the intercellular spaces widen during osmotic flow of water from lumen to bath induced by antidiuretic hormone (ADH). Ouabain had no influence on these changes. In the absence of net water flow intercellular width was unaffected when tubules were swollen in hypotonic external media. Therefore, during ADH-induced flow widening of intercellular spaces is not a consequence of osmotic swelling of a closed intercellular compartment containing trapped solutes, but rather is due to flow of solution through the channel. Direct evidence of intercellular flow was obtained. Nonperfused tubules swollen in hypotonic media were reimmersed in isotonic solution with resultant entry of water into intercellular spaces. The widened spaces gradually collapsed completely. Spaces enlarged in this manner could be emptied more rapidly by increasing the transtubular hydrostatic pressure difference. In electron micrographs a path of exit of sufficient width to accommodate the observed rate of fluid flow was seen at the base of the intercellular channel. It is concluded that the intercellular spaces communicate with the external extracellular fluid and that water, having entered the cells across the luminal plasma membrane in response in ADH, leaves the cells by osmosis across both the lateral and basilar surface membranes.     

The role of the lateral intercellular spaces and solute polarization effects in the passive flow of water across the rabbit gallbladder

Summary Osmotic water flows were measured acrossin vitro preparations of the rabbit gallbladder by a gravimetric technique. The bladders exhibited asymmetrical osmotic behavior, in which theL _p (hydraulic conductivity) for water flow from mucosa to serosa was up to four times greater than theL _p for water flow in the opposite direction. This result is similar to the effects of osmotic gradients on ion and nonelectrolyte permeability reported in the first paper. As in the case of solute permeability, these changes inL _p are accounted for by changes in the dimensions of the lateral intercellular spaces of the epithelium. These spaces are thus a final common pathway for the movement of both solutes and water across the epithelium. We also observed osmotic flow transients in which the initialL _p was about an order of magnitude greater than the steady stateL _p . These transients are largely explained by solute polarization in the unstirred layers adjacent to the epithelial membranes. A comparison between streaming potentials and water flows showed that streaming potentials are directly proportional to the rate of flow only over a limited range. These observations are readily explained on the basis of structural changes and solute polarization effects. Finally, the routes of water flow across epithelia are discussed in the light of our observations.     

Coupled water transport in standing gradient models of the lateral intercellular space.

A standing gradient model of the lateral intercellular space is presented which includes a basement membrane of finite solute permeability. The solution to the model equations is estimated analytically using the "isotonic convection approximation" of Segel. In the case of solute pumps uniformly distributed along the length of the channel, the achievement of isotonic transport depends only on the water permeability of the cell membranes. The ability of the model to transport water against an adverse osmotic gradient is the sum of two terms: The first term is simply that for a well-stirred compartment model and reflects basement membrane solute permeability. The second term measures the added strength due to diffusion limitation within the interspace. It is observed, however, that the ability for uphill water transport due to diffusion limitation is diminished by high cell membrane water permeability. For physiologically relevant parameters, it appears that the high water permeability required for isotonic transport renders the contribution of the standing gradient relatively ineffective in transport against an osmotic gradient. Finally, when the model transports both isotonically and against a gradient, it is shown that substantial intraepithelial solute polarization effects are unavoidable. Thus, the measured epithelial water permeability will grossly underestimate the water permeability of the cell membranes. The accuracy of the analytic approximation is demonstrated by numerical solution of the complete model equations.     

The structure of the rectal pads of Periplaneta americana L. With regard to fluid transport

The rectum of Periplaneta americana L. is lined with cuticle and has six radially arranged cushion-shaped thickenings, the rectal pads, composed of columnar cells. Narrow strips of simple rectal cells lie between the pads. Tall junctional cells form a thin but continuous collar around the pads where they join the rectal cells. The epithelium is surrounded by a layer composed of circular and longitudinal muscles and connective tissue. This layer of muscle and connective tissue is innervated and tracheated, and is separated from the pad surface by a subepithelial sinus. Fluid flowing through the sinus enters the haemolymph through openings in the muscle layer whre large tracheae penetrate. These openings can be sealed by muscle contractions that appress the muscle around the openings against the pad surface. The tracheae pass on into the pads, following basement membrne-lined indentations of the pad surface. Within the pad tracheolar cells send fine branches between the cells. Near the apical and basal surfaces the lateral membranes of pad cells are bridged by septate desmosomes that form a continuous band around the cells. Between apical and basal septate desmosomes is an interconnected labyrinthine system of intercellular spaces. There are three kinds of space, dilations and apical sinuses, both of variable size, and narrow communicating channels about 200 Å wide. The membranes of the latter have mitochondria closely associated with them. Continuity between the system of spaces and the subepithelial sinus is established by the basement membrane-lined invaginations of the basal surface where tracheae penetrate between pad cells. Apical surfaces of the pad cells are highly infolded and are also associated with mitochondria. However, unlike the lateral membranes facing the narrow channels, the apical membranes have a cytoplasmic coating of particles. Both associations of mitochondria with membranes constitute discrete structural entities that are found in many transporting epithelia, and we have termed them “plasmalemma-mitochondrial complexes.” As the rectal pads are organized into systems of spaces that ultimately open in the direction of fluid movement, existing models of solute-coupled water transport can be applied. However, the rectal pads are structurally more complex than fluid-transporting tissues of vertebrates. This complexity may be related to the ability of the rectum to withdraw water from ion-free solutions in the lumen. We present a structural model involving solute recycling to explain the physiological characteristics of rectal reabsorption.     

A Model of Peritubular Capillary Control of Isotonic Fluid Reabsorption by the Renal Proximal Tubule

A mathematical model of peritubular transcapillary fluid exchange has been developed to investigate the role of the peritubular environment in the regulation of net isotonic fluid transport across the mammalian renal proximal tubule. The model, derived from conservation of mass and the Starling transcapillary driving forces, has been used to examine the quantitative effects on proximal reabsorption of changes in efferent arteriolar protein concentration and plasma flow rate. Under normal physiological conditions, relatively small perturbations in protein concentration are predicted to influence reabsorption more than even large variations in plasma flow, a prediction in close accord with recent experimental observations in the rat and dog. Changes either in protein concentration or plasma flow have their most pronounced effects when the opposing transcapillary hydrostatic and osmotic pressure differences are closest to equilibrium. Comparison of these theoretical results with variations in reabsorption observed in micropuncture studies makes it possible to place upper and lower bounds on the difference between interstitial oncotic and hydrostatic pressures in the renal cortex of the rat.     

A Mathematical Treatment of Munch's Pressure-Flow Hypothesis of Phloem Translocation

The steady state solutions of two mathematical models are used to evaluate Münch's pressure-flow hypothesis of phloem translocation. The models assume a continuous active loading and unloading of translocate but differ in the site of loading and unloading and the route of water to the sieve tube. The dimensions of the translocation system taken are the average observed values for sugar beet and are intended to simulate translocation from a mature source leaf to an expanding sink leaf. The volume flow rate of solution along the sieve tube, water flow rate into the sieve tube, hydrostatic pressure, and concentration of sucrose in the sieve tube are obtained from a numerical computer solution of the models. The mass transfer rate, velocity of translocation, and osmotic and hydrostatic pressures are consistent with empirical findings. Owing to the resistance to water flow offered by the lateral membranes, the hydrostatic pressure generated by the osmotic pressure can be considerably less than would be predicted by the solute concentration. These models suggest that translocation at observed rates and velocities can be driven by a water potential difference between the sieve tube and surrounding tissue and are consistent with the pressure-flow hypothesis of translocation.     

The capillaries of the middle ear mucosa in the guinea pig

Summary The middle ear capillaries of the guinea pig have fenestrated endothelium, and the intercellular clefts are closed by tight junctions. Intracardially injected horseradish peroxidase penetrates the fenestrae of the endothelium and gains access to the extra-cellular space beneath the epithelium, and the intercellular clefts of the epithelium.     

Mechanism and Control of Fluid Secretion

Fluid secretion and reabsorption by a variety of plant and animal tissues appear to be accomplished by osmotic coupling between solute transport and water movement. The local osmosis model suggests that active accumulation of solutes within narrow folds at the cell surface may produce the local gradients that generate water flow. Both micropuncture techniques and electron-probe X-ray microanalysis have established that local osmotic gradients occur in absorptive epithelia, but they have not as yet been detected in secretory tissues.Hormonal control of secretion involves stimulation of solute pumps and adjustments of permeability to non-transported solutes. Since hormone receptors and pumps are often located on opposite surfaces of the cell, intracellular second messengers convey the secretory signal through cytoplasm. Much has been learned by study of insect tissues that are anatomically simple and that function for long periods in vitro. Aspects of hormone-receptor interaction have been explored, including the action of halluninogenic molecules. In insect salivary glands cyclic AMP appears to stimulate cation transport, while calcium increases anion permeability. The various second messengers probably interact with each other in complex feedback loops that stabilize the system and make it quickly responsive to hormone. Cyclic AMP may stimulate release of calcium from mitochondria. Unresolved is the way second messengers alter properties of the cell surface.     

Role of the septate junction in the regulation of paracellular transepithelial flow

A comparison of the distribution of septate junctions in invertebrate epithelia and tight junctions in vertebrate systems suggests that these structures may be functionally analogous. This proposition is supported by the internal design of each junction which constitutes a serial arrangement of structures crossing the intercellular space between cells to effectively provide resistance to the paracellular flow of water and small molecules. We have tested the validity of such an analogy by examining whether the osmotic sensitivity of the septate junctions of planarian epidermis follow the rather striking pattern observed for the junctions of very tight vertebrate epithelia (e.g. toad urinary bladder). It has been found that the septate junctions in this system respond in similar fashion to their vertebrate counterparts, blistering with accumulated fluid when the medium outside the epidermis is made hypertonic with small, water-soluble molecules. We conclude that the two types of junction probably are functionally analogous and that, in each case, this rectified structural response to transepithelial osmotic gradients may be indicative of the role of such structures in the transport function of epithelia.     

Volume flows across gallbladder epithelium induced by small hydrostatic and osmotic gradients

Summary The hydraulic conductivity of rabbit gallbladder epithelium has been studied using a continuous volumetric method based on capacitance measurements. The time resolution for measuring osmotic flows is in the range of seconds. Volume flows have been induced by osmotic gradients between 0 and 100 mosmol. In this range the flow-force relation is linear and theP _f value is 9.3×10^–3 cm/sec. After correction for solute polarization effects, theP _f value amounts to 0.05 cm/sec. The observed flow is constant between 5 sec up to 20 min after a sudden increase in the osmolarity of the mucosal solution. The wet weight of the gallbladder tissue decreases by 22% and increases by 30% during osmotic flows from serosa to mucosa and from mucosa to serosa, respectively. Volume flows induced by hydrostatic pressure gradients on the mucosal surface are linearly related to the driving forces between 0 and 40 mbar. TheP _f value is 0.15 cm/sec. The volume flows are constant between 2 sec and 15 min after pressure application. The flow-force relation for pressure gradients on the serosal surface is markedly nonlinear for gradients greater than 5 mbar. Below 5 mbar theP _f value is 4.5 cm/sec. From electrical measurements, e.g., resistance and streaming potentials, and from flux studies with inulin and polyethylene glycol 4000, it is concluded that hydrostatic and osmotic gradients are not comparable when they are applied to gallbladder epithelium. They induce volume flows across different pathways, e.g., osmosis predominantly across the cellular route and pressure filtration predominantly across paracellular routes.     

Transport of water and solutes across bullfrog alveolar epithelium

Water and solute transport properties of the alveolar epithelium of isolated bullfrog lungs were studied. Lungs from Rana catesbeiana were removed and mounted in an Ussing chamber. Unstirred layers on both sides of the tissue were estimated from the time courses of dilution potential development, and the measured transport parameters were corrected for the effect of the unstirred layers. Spontaneous potential difference, short-circuit current, tissue resistance, instantaneous voltage-current relationships, diffusional permeabilities of water and hydrophilic solutes, and hydraulic conductivities were determined. The hydraulic conductivity obtained from hydrostatically driven water flow anomalously decreased with time, and was initially 100 -1,000 times higher than osmotically determined hydraulic conductivity. The equivalent pore radius of the bullfrog alveolar epithelium was estimated to be 0.8-0.9 nm. We conclude that the alveolar epithelium is extremely tight, presenting a major barrier to water and solute flow. This high resistance to water and solute flow may be helpful in maintaining the alveolar lumen relatively free of fluid under normal physiological conditions.