A three-dimensional junction-pore-matrix model for capillary permeability

Delivering CRISPR to the HIV-1 reservoirs

Human immunodeficiency virus type 1 (HIV-1) infection is well known as one of the most complex and difficult viral infections to cure. The difficulty in developing curative strategies arises in large part from the development of latent viral reservoirs (LVRs) within anatomical and cellular compartments of a host. The clustered regularly interspaced short palindromic repeats/ CRISPR-associated protein 9 (CRISPR/Cas9) system shows remarkable potential for the inactivation and/or elimination of integrated proviral DNA within host cells, however, delivery of the CRISPR/Cas9 system to infected cells is still a challenge. In this review, the main factors impacting delivery, the challenges for delivery to each of the LVRs, and the current successes for delivery to each reservoir will be discussed.

Hematoloechus sp. attachment shifts endothelium in vivo from pro- to anti-inflammatory profile in Rana pipiens: evidence from systemic and capillary physiology

This prospective, descriptive study focused on lung flukes (Hematoloechus sp., H) and their impact on systemic and individual capillary variables measured in pithed Rana pipiens, a long-standing model for studies of capillary physiology. Three groups were identified based on Hematoloechus attachment: no Hematoloechus (No H), Hematoloechus not attached (H Not Att), and Hematoloechus attached (H Att). Among 38 descriptive, cardiovascular, and immunological variables, 18 changed significantly with H. Symptoms of H included weight loss, elevated immune cells, heart rate variability, faster coagulation, lower hematocrit, and fluid accumulation. Important capillary function discoveries included median baselines for hydraulic conductivity (Lp) of 7.0 (No H), 12.4 (H Not Att), and 4.2 (H Att) × 10-7 cm·s-1·cmH2O-1 (P < 0.0001) plus seasonal adaptation of sigma delta pi [σ(πc-πi), P = 0.03]. Pro- and anti-inflammatory phases were revealed for Lp and plasma nitrite/nitrate concentration ([NOx]) in both H Not Att and H Att, whereas capillary wall tensile strength increased in the H Att. H attachment was advantageous for the host due to lower edema and for the parasite via a sustained food source illustrating an excellent example of natural symbiosis. However, H attachment also resulted in host weight loss: in time, a conundrum for the highly dependent parasite. The study increases overall knowledge of Rana pipiens by revealing intriguing effects of H and previously unknown, naturally occurring seasonal changes in many variables. The data improve Rana pipiens as a general scientific and capillary physiology model. Diseases of inflammation and stroke are among the clinical applications.

Modeling Drug Absorption from the Dermis after an Injection

A dermal absorption model for small and macromolecules was previously proposed by Ibrahim et al. This model estimated absorption of therapeutics from the dermal tissue based on their molecular size and protein binding through blood and lymphatics. Blood absorption followed a two-pore theory and the lymphatic absorption was limited by the constant lymphatic flow rate. Current work builds on this steady-state concept by modeling the absorption from the dermis immediately after an injection is given (unsteady state). An injection in the dermis creates a localized pressure gradient which resolves itself over time. This phenomenon is captured in the model to estimate the impact of injection volume on the absorption rate constant. Blood absorption follows the two-pore theory but is time-dependent and the lymphatic absorption is determined based on valve opening and pressure driven convective flow, returning to steady-state as the molecule is absorbed. A direct comparison of the steady-state analysis, experimental data and the current model is made. The results indicate that accounting for the localized time-varying pressure can better predict the experimental absorption rate constants. This work significantly improves the existing understanding of macromolecule uptake from the interstitial fluid following intradermal injection.

Tonic regulation of vascular permeability

Our major theme is that the layered structure of the endothelial barrier requires continuous activation of signalling pathways regulated by sphingosine-1-phosphate (S1P) and intracellular cAMP. These pathways modulate the adherens junction, continuity of tight junction strands, and the balance of synthesis and degradation of glycocalyx components. We evaluate recent evidence that baseline permeability is maintained by constant activity of mechanisms involving the small GTPases Rap1 and Rac1. In the basal state, the barrier is compromised when activities of the small GTPases are reduced by low S1P supply or delivery. With inflammatory stimulus, increased permeability can be understood in part as the action of signalling to reduce Rap1 and Rac1 activation. With the hypothesis that microvessel permeability and selectivity under both normal and inflammatory conditions are regulated by mechanisms that are continuously active, it follows that when S1P or intracellular cAMP are elevated at the time of inflammatory stimulus, they can buffer changes induced by inflammatory agents and maintain normal barrier stability. When endothelium is exposed to inflammatory conditions and subsequently exposed to elevated S1P or intracellular cAMP, the same processes restore the functional barrier by first re-establishing the adherens junction, then modulating tight junctions and glycocalyx. In more extreme inflammatory conditions, loss of the inhibitory actions of Rac1-dependent mechanisms may promote expression of more inflammatory endothelial phenotypes by contributing to the up-regulation of RhoA-dependent contractile mechanisms and the sustained loss of surface glycocalyx allowing access of inflammatory cells to the endothelium.

Dermal clearance model for epidermal bioavailability calculations

A computational model for estimating dermal clearance in humans of arbitrary, nonmetabolized solutes is presented. The blood capillary component employs slit theory with contributions from both small (10 nm) and large (50 nm) slits. The lymphatic component is derived from previously reported clearance measurements of dermal and subcutaneous injections of (131)I-albumin in humans. Model parameters were fitted to both blood capillary permeability data and lymphatic clearance data. Small molecules are cleared largely by the blood and large molecules by the lymph. The combined model shows a crossover behavior at approximately 29 kDa, in acceptable agreement with the reported value of 16 kDa. When combined with existing models for stratum corneum permeability and appropriate measures of tissue binding, the developed model has the potential to significantly improve tissue concentration estimates for large or highly protein-bound permeants following dermal exposure.

An electrodiffusion model for the blood-brain barrier permeability to charged molecules

The endothelial surface glycocalyx layer (SGL) and the basement membrane (BM) are two important components of the blood-brain barrier (BBB). They provide large resistance to solute transport across the BBB in addition to the tight junctions in the cleft between adjacent endothelial cells. Due to their glycosaminoglycan compositions, they carry negative charge under physiological conditions. To investigate the charge effect of the SGL and BM on the BBB permeability to charged solutes, we developed an electrodiffusion model for the transport of charged molecules across the BBB. In this model, constant charge densities were assumed in the SGL and in the BM. Both electrostatic and steric interaction and exclusion to charged molecules were considered within the SGL and the BM and at their interfaces with noncharged regions of the BBB. On the basis of permeability data for the positively charged ribonuclease (+4,radius=2.01 nm) and negatively charged α-lactalbumin (-10,radius=2.08 nm) measured in intact rat mesenteric and pial microvessels, our model predicted that the charge density in both SGL and BM would be ∼30 mEq/L, which is comparable to that in the SGL of mesenteric microvessels. Interestingly, our model also revealed that due to the largest concentration drop in the BM, there is a region with a higher concentration of negatively charged α-lactalbumin in the uncharged inter-endothelial cleft, although the concentration of α-lactalbumin is always lower than that of positively charged ribonuclease and that of a neutral solute in the charged SGL and BM.

A three-pore model describes transport properties of bovine retinal endothelial cells in normal and elevated glucose

PURPOSE

Changes in blood vessel barrier properties contribute to retinal edema in diabetic retinopathy (DR). However, limited data are available to describe the routes of transport for fluids and solutes across the inner blood-retinal barrier (iBRB). In this study, a three-pore model was developed to characterize such routes in normal and elevated glucose levels.

METHODS

Diffusive and apparent permeabilities to TAMRA (467 Da), dextran (70 kDa), and LDL (2000 kDa), as well as hydraulic conductivity, were measured across bovine retinal endothelial cell (BREC) monolayers after exposure to normal- and high-glucose media for 6 days. The data were used to develop a model of transport dynamics. Claudin 5 and eNOS Western blot analysis were used to measure changes in expression and phosphorylation. Immunolocalization of ZO-1 and VE-cadherin demonstrated organization of the junctional complex. Apoptosis was measured by TUNEL assay.

RESULTS

A three-pore model describes the fractional transport of water and molecular tracers across the retinal endothelial barrier. No change in permeability or hydraulic conductivity was observed after exposure to high glucose, whereas VEGF increased permeability in both normal- and high-glucose environments. The transport results were consistent with ZO-1 and VE-cadherin immunocytochemistry and expression of claudin-5, which were all unaltered by high glucose.

CONCLUSIONS

The data describe, for the first time, a model for transport of various size solutes and fluids across endothelial cells of the iBRB. Further, the results support the existence of an indirect pathway by which iBRB permeability is increased through the upregulation of retinal VEGF in response to hyperglycemia.

Physiologic upper limits of pore size of different blood capillary types and another perspective on the dual pore theory of microvascular permeability

BACKGROUND

Much of our current understanding of microvascular permeability is based on the findings of classic experimental studies of blood capillary permeability to various-sized lipid-insoluble endogenous and non-endogenous macromolecules. According to the classic small pore theory of microvascular permeability, which was formulated on the basis of the findings of studies on the transcapillary flow rates of various-sized systemically or regionally perfused endogenous macromolecules, transcapillary exchange across the capillary wall takes place through a single population of small pores that are approximately 6 nm in diameter; whereas, according to the dual pore theory of microvascular permeability, which was formulated on the basis of the findings of studies on the accumulation of various-sized systemically or regionally perfused non-endogenous macromolecules in the locoregional tissue lymphatic drainages, transcapillary exchange across the capillary wall also takes place through a separate population of large pores, or capillary leaks, that are between 24 and 60 nm in diameter. The classification of blood capillary types on the basis of differences in the physiologic upper limits of pore size to transvascular flow highlights the differences in the transcapillary exchange routes for the transvascular transport of endogenous and non-endogenous macromolecules across the capillary walls of different blood capillary types.

METHODS

The findings and published data of studies on capillary wall ultrastructure and capillary microvascular permeability to lipid-insoluble endogenous and non-endogenous molecules from the 1950s to date were reviewed. In this study, the blood capillary types in different tissues and organs were classified on the basis of the physiologic upper limits of pore size to the transvascular flow of lipid-insoluble molecules. Blood capillaries were classified as non-sinusoidal or sinusoidal on the basis of capillary wall basement membrane layer continuity or lack thereof. Non-sinusoidal blood capillaries were further sub-classified as non-fenestrated or fenestrated based on the absence or presence of endothelial cells with fenestrations. The sinusoidal blood capillaries of the liver, myeloid (red) bone marrow, and spleen were sub-classified as reticuloendothelial or non-reticuloendothelial based on the phago-endocytic capacity of the endothelial cells.

RESULTS

The physiologic upper limit of pore size for transvascular flow across capillary walls of non-sinusoidal non-fenestrated blood capillaries is less than 1 nm for those with interendothelial cell clefts lined with zona occludens junctions (i.e. brain and spinal cord), and approximately 5 nm for those with clefts lined with macula occludens junctions (i.e. skeletal muscle). The physiologic upper limit of pore size for transvascular flow across the capillary walls of non-sinusoidal fenestrated blood capillaries with diaphragmed fenestrae ranges between 6 and 12 nm (i.e. exocrine and endocrine glands); whereas, the physiologic upper limit of pore size for transvascular flow across the capillary walls of non-sinusoidal fenestrated capillaries with open 'non-diaphragmed' fenestrae is approximately 15 nm (kidney glomerulus). In the case of the sinusoidal reticuloendothelial blood capillaries of myeloid bone marrow, the transvascular transport of non-endogenous macromolecules larger than 5 nm into the bone marrow interstitial space takes place via reticuloendothelial cell-mediated phago-endocytosis and transvascular release, which is the case for systemic bone marrow imaging agents as large as 60 nm in diameter.

CONCLUSIONS

The physiologic upper limit of pore size in the capillary walls of most non-sinusoidal blood capillaries to the transcapillary passage of lipid-insoluble endogenous and non-endogenous macromolecules ranges between 5 and 12 nm. Therefore, macromolecules larger than the physiologic upper limits of pore size in the non-sinusoidal blood capillary types generally do not accumulate within the respective tissue interstitial spaces and their lymphatic drainages. In the case of reticuloendothelial sinusoidal blood capillaries of myeloid bone marrow, however, non-endogenous macromolecules as large as 60 nm in diameter can distribute into the bone marrow interstitial space via the phago-endocytic route, and then subsequently accumulate in the locoregional lymphatic drainages of tissues following absorption into the lymphatic drainage of periosteal fibrous tissues, which is the lymphatic drainage of myeloid bone marrow. When the ultrastructural basis for transcapillary exchange across the capillary walls of different capillary types is viewed in this light, it becomes evident that the physiologic evidence for the existence of aqueous large pores ranging between 24 and 60 nm in diameter in the capillary walls of blood capillaries, is circumstantial, at best.

Dermal capillary clearance: physiology and modeling

Substances applied to the skin surface may permeate deeper tissue layers and pass into the body's systemic circulation by entering blood or lymphatic vessels in the dermis. The purpose of this review is an in-depth analysis of the dermal clearance/exchange process and its constituents: transport through the interstitium, permeability of the microvascular barrier and removal via the circulation. We adapt an 'engineering' viewpoint with emphasis on quantifying the dermal microcirculatory physiology, providing the theoretical framework for the physics of key transport processes and reviewing the available computational clearance models in a comparative manner. Selected experimental data which may serve as valuable input to modeling attempts are also reported.

Cultured podocytes establish a size-selective barrier regulated by specific signaling pathways and demonstrate synchronized barrier assembly in a calcium switch model of junction formation

Podocytes form unique cell-cell junctions (slit diaphragms) that are central to glomerular selectivity, although regulation and mechanisms of slit diaphragm assembly are poorly understood. With the use of cultured podocytes, a paracellular permeability flux assay was established to characterize properties of the size-selective barrier. Paracellular flux of differentiated podocytes was measured using anionic fluorescent dextrans of 3, 10, 40, and 70 kD. Podocytes form a highly selective barrier with a 160-fold difference in flux from the 3-kD dextran (11 pmol/min) to the 70-kD dextran (0.06 pmol/min). Barrier development was dependent on podocyte differentiation and not affected by dextran charge. Puromycin, a known podocyte toxin, increased flux 250% in a dose-dependent manner without affecting cell viability. Screening with modulators of specific signaling pathways identified reversible increases in flux with Src tyrosine and Rho kinase inhibition. The calcium switch model of epithelial junction assembly was modified to determine whether podocytes regulate barrier assembly. When cultured in low calcium for 90 min, flux increased by 300% and consistently returned to baseline 24 to 48 h after switching to normal calcium. Similar to classical epithelial junctions, barrier recovery occurred in the presence of cyclohexamide, an inhibitor of protein synthesis. During the calcium switch, there were reversible changes in localization and detergent solubility of the slit diaphragm protein ZO-1 and alpha-actinin-4, whereas nephrin and podocin solubility were unchanged. Taken together, these findings demonstrate that cultured podocytes develop a selective size barrier that is regulated by specific signaling pathways, and similar to classical epithelial junctions, podocytes demonstrate synchronized assembly of the barrier.

An electrodiffusion-filtration model for effects of endothelial surface glycocalyx on microvessel permeability to macromolecules

Endothelial surface glycocalyx plays an important role in the regulation of microvessel permeability by possibly changing its charge and configuration. To investigate the mechanisms by which surface properties of the endothelial cells control the changes in microvessel permeability, we extended the electrodiffusion model developed by Fu et al. [Am. J. Physiol. 284, H1240-1250 (2003)], which is for the interendothelial cleft with a negatively charged surface glycocalyx layer, to include the filtration due to hydrostatic and oncotic pressures across the microvessel wall as well as the electrical potential across the glycocalyx layer On the basis of the hypotheses proposed by Curry [Microcirculation 1(1): 11-26 (1994)], the predictions from this electrodiffusion-filtration model provide a good agreement with experimental data for permeability of negatively charged a-lactalbumin summarized in Curry [Microcirculation 1(1), 11-26 (1994)] under various conditions. In addition, we applied this new model to describe the transport of negatively charged macromolecules, bovine serum albumin (BSA), across venular microvessels in frog mesentery. According to the model, the convective component of the albumin transport is greatly diminished by the presence of a negatively charged glycocalyx under both normal and increased permeability conditions.

Acute VEGF effect on solute permeability of mammalian microvessels in vivo

To investigate the effect of vascular endothelial growth factor (VEGF) on solute permeability of mammalian microvessels, we measured the apparent permeability (P) of various-sized solutes on the postcapillary venules of rat mesentery in vivo. Exposure to 1 nM VEGF transiently increased P from a mean of 1.4 (+/-0.11 SE, n = 17) to a peak of 2.8 (+/-0.28 SE) x 10(-5) cm/s, a 2.4-fold increase for small solute sodium fluorescein (Stokes radius 0.45 nm), from a mean of 0.44 (+/-0.05 SE, n = 16) to a peak of 1.5 (+/-0.19 SE) x 10(-)5 cm/s, a 3.6-fold increase for intermediate-sized solute alpha-lactalbumin (Stokes radius 2.01 nm), from a mean of 0.049 (+/-0.0032 SE, n = 16) to a peak of 0.36 (+/-0.032 SE) x 10(-5) cm/s, a 7.9-fold increase for large solute bovine serum albumin (Stokes radius 3.55 nm), within 30 s. In approximately 2 min, all increased P returned to the baseline values. The response pattern of P to VEGF and the ratios of the peak to control values for rat mesenteric microvessels are similar to those of frog mesenteric microvessels [Am. J. Physiol.: Heart Circ. Physiol. 284 (2003) H2124]. Instead of considerable heterogeneity in the frog mesenteric microvessels, the acute response to 1 nM VEGF is homogeneous in the rat mesenteric microvessels.

A model for the modulation of microvessel permeability by junction strands

To investigate the effect of junction strands on microvessel permeability, we extend the previous analytical model developed by Fu et al. (1994, J. Biomech. Eng., 116, pp. 502-513), for the interendothelial cleft to include multiple junction strands in the cleft and an interface between the surface glycocalyx layer and the cleft entrance. Based on the electron microscopic observations by Adamson et al. (1998, Am. J. Physiol., 274(43), pp. H1885-H1894), that elevation of intracellular cAMP levels would increase number of tight junction strands, this two-junction-strand and two-pore model can successfully account for the experimental data for the decreased permeability to water, small and intermediate-sized solutes by cAMP.

Intact capillaries sensitive to rate, magnitude, and pattern of shear stress stimuli as assessed by hydraulic conductivity (Lp)

Magnitude of abrupt changes in fluid shear stress (Delta tau) correlates with capillary hydraulic conductivity (Lp). Cultured endothelial cells differentiate between rate of change in and pattern of fluid stimulation; however, neither rate nor pattern sensitivity has been evaluated in individual capillaries. We hypothesized that Lp would be greater following abrupt compared to slow Delta tau and that magnitude of Delta tau would correlate with Lp regardless of rate. Mesenteric venular capillaries (VC, n=41) located in pithed North American leopard frogs (Rana pipiens) were cannulated either above or at in situ pressure to induce abrupt (<0.1 s) or slow (1-5 min) Delta tau. Lp was assessed always at the same pressure (30 cm H2O) using the modified Landis technique. Mean +/- SE Lp was sixfold higher (P=0.005) following abrupt (19.0 +/- 3.9 x 10(-7)) compared to slow (2.7 +/- 0.9 x 10(-7) cm/s/cm H2O) Delta tau after accounting for stimulus pattern variability. Linear relationships between Lp and Delta tau existed for both abrupt [Lp = 0.026(Delta tau)-1.6, R2=0.90, P=0.0001] and slow [Lp = 0.005(Delta tau)-0.3, R2=0.82, P=0.03] stimuli. These results suggest that frog mesenteric VC sense unique characteristics of Delta tau and respond by altering Lp.

Structural mechanisms of acute VEGF effect on microvessel permeability

To investigate the ultrastructural mechanisms of acute microvessel hyperpermeability by vascular endothelial growth factor (VEGF), we combined a mathematical model (J Biomech Eng 116: 502-513, 1994) with experimental data of the effect of VEGF on microvessel hydraulic conductivity (L(p)) and permeability of various-sized solutes. We examined the effect of VEGF on microvessel permeability to a small solute (sodium fluorescein, Stokes radius 0.45 nm), an intermediate solute (alpha-lactalbumin, Stokes radius 2.01 nm), and a large solute [albumin (BSA), Stokes radius 3.5 nm]. Exposure to 1 nM VEGF transiently increased apparent permeability to 2.3, 3.3, and 6.2 times their baseline values for sodium fluorescein, alpha-lactalbumin, and BSA, respectively, within 30 s, and all returned to control within 2 min. On the basis of L(p) (DO Bates and FE Curry. Am J Physiol Heart Circ Physiol 271: H2520-H2528, 1996) and permeability data, the prediction from the model suggested that the most likely structural changes in the interendothelial cleft induced by VEGF would be a approximately 2.5-fold increase in its opening width and partial degradation of the surface glycocalyx.

An electrodiffusion model for effects of surface glycocalyx layer on microvessel permeability

To investigate the charge effect of the endothelial surface glycocalyx on microvessel permeability, we extended the three-dimensional model developed by Fu et al. (J Biomech Eng 116: 502-513, 1994) for the interendothelial cleft to include a negatively charged glycocalyx layer at the entrance of the cleft. Both electrostatic and steric exclusions on charged solutes were considered within the glycocalyx layer and at the interfaces. Four charge-density profiles were assumed for the glycocalyx layer. Our model indicates that the overall solute permeability across the microvessel wall including the surface glycocalyx layer and the cleft region is independent of the charge-density profiles as long as they have the same maximum value and the same total charge. On the basis of experimental data, this model predicts that the charge density would be 25-35 meq/l in the glycolcalyx of frog mesenteric capillaries. An intriguing prediction of this model is that when the concentrations of cations and anions are unequal in the lumen due to the presence of negatively charged proteins, the negatively charged glycocalyx would provide more resistance to positively charged solutes than to negatively charged ones.

A three-pathway pore model describes extensive transport data from Mammalian microvascular beds and frog microvessels

OBJECTIVE

To show that a three-pathway pore model can describe extensive transport data in cat and rat skeletal muscle microvascular beds and in frog mesenteric microvessels.

METHODS

A three-pathway pore model was used to predict transport data measured in various microcirculatory preparations. The pathways consist of 4- and 24-nm radii pore systems with a 2.5:1 ratio of hydraulic conductivities and a water-only pathway of variable conductivity. The pore sizes and relative hydraulic conductivities of the small- and large-pore systems were derived from a model fit to reflection coefficient (sigma) data in the cat hindlimb. The fraction (alpha(w)) of total hydraulic conductivity (L(p)) or hydraulic capacity (L(p)S) contributed by the water-only pathway was uniquely determined for each preparation by a fit of the three-pathway model (parameters fixed as above) to sigma data measured in that preparation. These parameter values were unchanged when the model was used to predict diffusion capacity (permeability-surface area product, P(d)S) data in the cat or rat preparations or diffusional permeability (P(d)) data in frog microvessels. The values for L(p) or L(p)S used to predict diffusional data in each preparation were taken from the literature. Predictions of P(d) ratios for solute pairs were also compared with experimental data.

RESULTS

The three-pathway model closely predicted the trend of P(d)S or P(d) experimental data in all three preparations; in general, predicted P(d) ratios for paired solutes were quite similar to experimental data. For these comparisons, the only parameter varied between these preparations was alpha(w). It varied considerably, from 7 to 16 to 41% of total in frog, rat, and cat preparations. Individual P(d)S or P(d) experimental data were closely predicted in the cat but somewhat overestimated in the frog and rat. This result could be due the use of L(p) or L(p)S values in the model that were affected by methodological problems. Calculated hydraulic conductivities of the water-only pathway in the three preparations were quite similar.

CONCLUSIONS

: These results support the hypothesis of a common structure of the transmembrane pathways in these three, very different, microcirculatory preparations. What varies considerably between them is the total number of solute-conducting pathways, but not their dimensions, nor the hydraulic conductivities of their water-only pathways. Because of the wide variation of alpha(w) among these preparations, the ratio of P(d) to L(p) for any solute is not constant, but the deviation from constancy may not be detectable because of errors in the experimental data.

Endothelial barriers: from hypothetical pores to membrane proteins

The anatomical counterpart of the physiologically defined small pore system of capillary endothelia has proved difficult to establish. In non-brain continuous capillaries, the contributions of caveolar and transmembrane pathways are likely to be small and paracellular clefts are probably the dominant routes. Analogy with epithelial paracellular pathways suggests that tight junctions may be the most restrictive elements. However, structural features of tight junction-based models are incompatible with physiological data; it is more likely that the tight junction acts as a shutter limiting the available cleft area. Proposed molecular sieves elsewhere in the paracellular pathway include the glycocalyx and the cadherin-based complexes of the adherens junctions. The molecular architecture of tight junctions and adherens junctions is moderately well defined in terms of molecular species, and there are differences at both sites between the endothelial and epithelial spectra of protein expression. However, definition of the size-restricting pore remains elusive and may require structural biology approaches to the spatial arrangements and interactions of the membrane molecular complexes surrounding the endothelial paracellular clefts.

Regulation of microvascular permeability by vascular endothelial growth factors

Generation of new blood vessels from pre-existing vasculature (angiogenesis) is accompanied in almost all states by increased vascular permeability. This is true in physiological as well as pathological angiogenesis, but is more marked during disease states. Physiological angiogenesis occurs during tissue growth and repair in adult tissues, as well as during development. Pathological angiogenesis is seen in a wide variety of diseases, which include all the major causes of mortality in the west: heart disease, cancer, stroke, vascular disease and diabetes. Angiogenesis is regulated by vascular growth factors, particularly the vascular endothelial growth factor family of proteins (VEGF). These act on two specific receptors in the vascular system (VEGF-R1 and 2) to stimulate new vessel growth. VEGFs also directly stimulate increased vascular permeability to water and large-molecular-weight proteins. We have shown that VEGFs increase vascular permeability in mesenteric microvessels by stimulation of tyrosine auto-phosphorylation of VEGF-R2 on endothelial cells, and subsequent activation of phospholipase C (PLC). This in turn causes increased production of diacylglycerol (DAG) that results in influx of calcium across the plasma membrane through store-independent cation channels. We have proposed that this influx is through DAG-mediated TRP channels. It is not known how this results in increased vascular permeability in endothelial cells in vivo. It has been shown, however, that VEGF can stimulate formation of a variety of pathways through the endothelial cell, including transcellular gaps, vesiculovacuolar organelle formation, and fenestrations. A hypothesis is outlined that suggests that these all may be part of the same process.

Microvessel organization and structure in experimental brain tumors: microvessel populations with distinctive structural and functional properties

We studied microvessel organization in five brain tumor models (ENU, MSV, RG-2, S635cl15, and D-54MG) and normal brain, including microvessel diameter (LMVD), intermicrovessel distance (IMVD), microvessel density (MVD), surface area (S(v)), and orientation. LMVD and IMVD were larger and MVD was lower in tumors than normal brain. S(v) in tumors overlapped normal brain values and orientation was random in both tumors and brain. ENU and RG-2 tumors and brain were studied by electron microscopy. Tumor microvessel wall was thicker than that of brain. ENU and normal brain microvessels were continuous and nonfenestrated. RG-2 microvessels contained fenestrations and endothelial gaps; the latter had a maximum major axis of 3.0 microm. Based on anatomic measurements, the pore area of RG-2 tumors was estimated at 7.4 x 10(-6) cm(2) g(-1) from fenestrations and 3.5 x 10(-5) cm(2) g(-1) from endothelial gaps. Increased permeability of RG-2 microvessels to macromolecules is most likely attributable to endothelial gaps. Three microvessel populations may occur in brain tumors: (1) continuous nonfenestrated, (2) continuous fenestrated, and (3) discontinuous (with or without fenestrations). The first group may be unique to brain tumors; the latter two are similar to microvessels found in systemic tumors. Since structure-function properties of brain tumor microvessels will affect drug delivery, studies of microvessel function should be incorporated into clinical trials of brain tumor therapy, especially those using macromolecules.

A new view of Starling's hypothesis at the microstructural level

In this paper we quantitatively investigate the hypothesis proposed by Michel (Exp. Physiol. 82, 1-30, 1997) and Weinbaum (Ann. Biomed. Eng. 26, 1-17, 1998) that the Starling forces are determined by the local difference in the hydrostatic and colloid osmotic pressure across the endothelial surface glycocalyx, which we propose is the primary molecular sieve for plasma proteins, rather than the global difference in the hydrostatic and oncotic pressure across the capillary wall between the plasma and tissue, as has been universally assumed until now. A spatially heterogeneous microstructural model is developed to explain at the cellular level why there is oncotic absorption at low capillary pressures in the short-lived transient experiments of Michel and Phillips (J. Physiol. 388, 421-435, 1987) on frog mesentery capillary, but a small positive filtration once a steady state is achieved. The new model also predicts that the local protein concentration behind the surface glycocalyx can differ greatly from the tissue protein concentration, since the convective flux of proteins through the orifice-like pores in the junction strand will greatly impede the back diffusion of the proteins into the lumen side of the cleft when the local Peclet number at the orifice is >1. The net result is that the filtration in the capillaries is far less than heretofore realized and there may be no need for venous reabsorption.

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.

Permselectivity of angiogenic microvessels following alteration of the endothelial fiber matrix by oligosaccharides

The endothelial glycocalyx, which is composed of integral and peripheral glycoconjugates, forms a fibrous matrix that confers macromolecular sieving properties on the microvascular wall. Changes in pore size within the matrix may regulate macromolecular access to the paracellular and/or vesicular transendothelial pathways. We tested the hypothesis that modifications of the endothelial glycocalyx might play a role in the ontogeny of endothelial permselectivity in proliferating microvessels of the chick chorioallantoic membrane (CAM). Accordingly, we evaluated the effects of Dolichos biflorus agglutinin (DBA) or Arachis hypogaea agglutinin (PNA) lectin binding, and N'N'diacetylchitobiose or hydroxyethyl starch polysaccharide (HES) incorporation on CAM endothelial restriction of FITC-dextrans 40 or 150 at Days 4.5 and 5.0 of development. Extravasation of FITC-dextrans was determined by recording their perivascular interstitial intensities. Following DBA, PNA, and N'N'diacetylchitobiose administration, interstitial accumulation of the tracers near first-order pre- and postcapillaries, and surrounding the capillaries, was similar to that of controls at both Days 4.5 and 5.0. At Day 4.5, pretreatment with HES significantly decreased extravasation of FITC-dextran 40. Thus, retention of HES molecules within the glycocalyx might tighten the matrix, and reduce access of dextran 40 to transendothelial pathways across the angiogenic microvessels.

A model for interpreting the tracer labeling of interendothelial clefts

We extended the model describing the low molecular weight electron dense tracer wake in the interendothelial cleft and surrounding tissue to describe the time-dependent transport of intermediate size solutes of 1.0-3.5 nm radius by convection and diffusion in an interendothelial cleft containing a fiber matrix. This model provides a quantitative basis on which to reinterpret electron microscopic studies of the distribution of tracers such as horseradish peroxidase (HRP; molecular weight = 40,000; Stokes radius = 3.0 nm) along the interendothelial cell cleft from the lumen to the tissue. For example, we show that, in contrast to our results with low molecular weight tracers, the wake of large molecular weight tracers on the abluminal side of the junctional strand is not likely to be detected, because the concentration of the tracer is predicted to be very low in most experiments. Thus the lack of a tracer such as HRP on the abluminal side of the junctional strand and in the tissue is not as strong evidence against the presence of a cleft pathway as suggested previously. The model does provide the basis for the design of experiments to locate both the principal molecular sieve and breaks in the junctional strand from the standing gradient on the luminal side of the junctional strand. An important experimental variable is the pressure in the vessel lumen which can be varied between 0 and 30 cm H2O to change the contributions of diffusive and convective transport to transcapillary exchange through he interendothelial cleft. This approach will also allow the testing of models for transcapillary pathways for large molecules by measuring the distribution of fluorescent traces across the microvessel wall and in the tissue surrounding the microvessel using confocal microscopy.

A model of fluid, erythrocyte, and solute transport in the lung

A mathematical model of fluid, solute, and red cell transport in the lung has been developed that includes the effects of simultaneous changes in lung vascular and interstitial volumes. The model provides separate arterial, microvascular, and venous pulmonary regions and a systemic vascular region in addition to a pulmonary interstitial compartment. Pressure, volume, hematocrit, flow, and concentration of up to 12 solutes and tracers can be computed in each compartment. Computer code is written in the C programming language, with Microsoft Excel serving as a user interface. Implementation is currently on PC-486 microcomputer systems, but the core program can easily be moved to other computer systems. The user can select different models for the blood-interstitial barrier (e.g., multiple pore, nonlinear Patlak equation), osmotic pressure-concentration relationships (e.g., Nitta, Navar-Navar), solute reflection coefficients interstitial macromolecule exclusion, or lymph barrier characteristics. Each model parameter or a combination of parameters can be altered with time in a predetermined fashion. The model is particularly useful in interpreting lung experimental data where simultaneous changes occur in vascular and extravascular compartments. Several applications are presented and discussed, including interpretation of optical filtration experiments, venous occlusion experiments, external detection of macromolecular exchange, and blood-lymph studies that use exogenous tracers. A number of limitations of the model are identified and improvements are proposed. A major strength of the model is that it is specifically designed to incorporate newly discovered relationships as the field of lung physiology expands.

Distribution of anionic sites on microvascular endothelium of the chick chorioallantoic membrane

It is generally accepted that luminal surfaces of adult microvascular endothelia present an anionic barrier that limits passage of anionic macromolecules. To assess the ontogeny of the barrier, temporal and spatial expression of endothelial anionic sites was evaluated in the chorioallantoic membrane of chicken embryos from days 4.5 to 18 of incubation. After an initial flush, the vessels were perfused with cationic ferritin (CF, 1.0 mg/ml in PBS) for 2 min. Following a second flush to remove unbound CF, the chick chorioallontoic membranes (CAMs) were fixed and processed for electron microscopy. Continuous CF binding was revealed on the luminal endothelium, the junctional clefts and the plasmalemmal vesicles from days 4.5 to 14. However, by day 18, anionic sites had become discontinuous. Prior perfusion with protamine sulfate abolished CF binding and facilitated native ferritin binding. Further ultrastructural evaluation, using peroxidase labeled LFA lectin, revealed sialic acid moieties in patches on the CAM endothelium. Thus, in early chick embryogenesis, the CAM endothelium displays a continuous pattern of luminal anionic sites comprised in part of sialic acid. As the CAM ages, endothelial anionic sites become reduced. That the expression of endothelial anionic domains remained constant despite changes in CAM microvascular permeability in early development (Rizzo et al., 1995a) serves to suggest a minimal role for anionic domains in the development of microvascular permselectivity during normal angiogenesis.

Blood-spinal cord barrier function and morphometry after single doses of x-rays in rat spinal cord

PURPOSE

The effects of irradiation on blood-spinal cord barrier (BSCB) function and ultrastructure were evaluated using a rat spinal cord model.

METHODS AND MATERIALS

Rats received a single dose of 25 Gy to the cervical spinal cord (C2-T2). At various times following irradiation and before the onset of paralysis, BSCB function was assessed using horseradish peroxidase (HRP) as a vascular tracer, and barrier-related structural changes in the capillaries were evaluated using morphometric techniques.

RESULTS

Focal extravasation of HRP was seen at 93 days after irradiation, and extensive extravasation was apparent by 114 days in white matter, but not in gray matter. At 93 days, pathologic changes apparent by light microscopy were very minor in the white matter of the irradiated segment. By 107 days, myelin beading, Wallerian degeneration, edema, and histiocytes were apparent in white matter, and these features became increasingly prominent over the following weeks. No noteworthy changes were seen in gray matter at these times. Electron microscopic examination showed that, during the first 93 days following irradiation, more than half of the endothelial cells in white matter had disappeared (p < 0.05). In terms of the putative vascular pores, no abnormalities in endothelial junctions (the presumed small pore) were found, but there was an increase in the density of endothelial vesicles (a putative form of the large pore) in irradiated white matter (p < 0.001), but not in gray matter. Pericytes, thought to act as a second line of defence in the blood-brain barrier, increased in size but not in number in the irradiated white matter of the spinal cord.

CONCLUSION

We suggest that radiation damage to endothelial cells, which form the BSCB prior to the onset of neurological deficit, may play an important role in the pathogenesis of white matter necrosis.

A model for flow through discontinuities in the tight junction of the endothelial intercellular cleft

A mathematical model for steady flow through a discontinuity in the tight junction of an endothelial intercellular cleft is presented. Subject to plausible assumptions the problem of calculating the flow in the cleft, in either the presence or the absence of a fibre matrix, reduces to the solution of Laplace's equation in a two-dimensional domain. For an idealized geometry representing a discontinuity between two semi-infinite tight junction regions, a general analytic solution is found by means of conformal mappings. The model geometry, unlike those assumed in previous studies, allows the tight junction regions to be out of alignment with each other, and even to overlap, modelling flow through a tortuous, rather than a direct, pathway. Useful asymptotic approximations for the flow rate are derived when the discontinuity is either very small or very large. For small discontinuities, the predicted flow rate is much greater than a naïve estimate based on uniform parallel flow through the discontinuity. For the special case where the tight junction regions are aligned with each other, comparison of our results with those of an approximate treatment due to Tsay et al. [Chem. Engng Commun. 82, 67-102 (1989)] shows generally very close agreement.

Atherogenic levels of low density lipoprotein alter the permeability and composition of the endothelial barrier

In the present study we investigated the influence of elevated low density lipoprotein (LDL) concentration on endothelial permeability. Endothelial cells were cultured on microporous membranes until confluence and albumin, dextran and LDL transfer across endothelial monolayers was determined to assess macromolecular permeability. Exposure of proliferating aortic endothelial cells to LDL levels of more than 1 mg/ml LDL-cholesterol induced a concentration-dependent exponential increase in the permeability of confluent endothelial monolayers. Acute addition of high LDL concentration did not alter macromolecular permeability. Once elevated permeability was induced, it persisted. It was not readily reversible after addition of normal LDL levels. Change in permeability was accompanied by a selective decrease in basement membrane associated heparan sulfate proteoglycan (HSPG) content. The apparent parallel between the loss in endothelial barrier function and HSPG decrease implicates a connection between the two events. Prolonged, but not acute, incubation with antiserum directed against the core-protein of HSPG also led to increased permeability, suggesting a causal role of HSPG for the proper function of endothelium. The fact that non-atherogenic LDL-cholesterol levels had no effect indicates that a 'threshold' concentration for LDL-cholesterol may exist, leading to nondenuding injury in the endothelial barrier as an early event in development of atherosclerosis.

Early ultrastructural changes in blood-brain barrier vessels of the rat embryo

The blood-brain barrier (BBB) in fetal rat brain has been shown by others to be more permeable to a variety of blood-borne solutes than the BBB in adults. We used ultrastructural morphometric methods to measured the density of putative vascular pores between the ages of embryonic day (E) 11 and birth to determine the structural basis for this relatively high permeability. We found that fenestrations, that are frequent at E11, declined rapidly and were last seen at E13 in intraparenchymal vessels and at E17 in pial vessels. Interendothelial junctions in fetal brain contained expanded clefts suggestive of paracellular channels at all ages examined, although they disappear after birth. Both of these features likely contribute to high fetal BBB permeability, but endothelial vesicles probably do not. The central nervous system is vascularized by ingrowth of capillary sprouts from the perineurial vascular plexus. Invading capillaries express BBB features in response to inductive signals from the surrounding neural tissue. We compared early ultrastructural changes in perineurial vessels, which are separated from neural tissue by a sizeable perivascular space, with those in intraneural vessels, which are totally enveloped by neural tissue, to determine whether the inductive interaction requires close cellular contact. For the most part, the perineurial and intraneural vessels matured in parallel. Furthermore, cerebellar vessels developed in parallel with cerebral vessels, even though they did not invade neural tissue until a comparatively late stage. These results suggest that intimate contact between neural tissue and vessel walls is not a requirement for BBB expression.

Blood-eye barriers in the rat: correlation of ultrastructure with function

The function of different vascular beds in the rat eye and brain was evaluated by measuring the transfer of a vascular tracer, 14C-alpha-amino-isobutyric acid, from blood to tissue. The density of vascular pores was measured in electron micrographs of perfusion-fixed, age-matched tissue to determine whether the differences in tracer transfer were paralleled by differences in ultrastructure. Tracer transfer in retina was approximately four times that in brain of the same animal. The transfer constant was not changed by the inclusion of cold alpha-amino-isobutyric acid, showing that transport across retinal vessels is not saturable, and indicating that, as in brain, transport is due to passive diffusion. Ultrastructurally, retinal vessels have a higher density of interendothelial junctions and of endothelial vesicles, both of which suggest higher vascular permeability. However, pericytes, which contribute to a second line of defence in the blood-brain barrier, are approximately four times as numerous in retina as in brain, and we suggest that in the retina, they act to compensate for a more permeable endothelial barrier. Ciliary body vessels had a high transfer of tracer, probably as a consequence of the fenestrations in their walls. Iridial vessels had a relatively low transfer of tracer, similar to that in retina even though a proportion of the interendothelial junctions in iridial vessels had expanded junctional clefts suggestive of open paracellular channels. However, both iris and ciliary body may lose tracer to the anterior chamber fluid, leading us to underestimate the vascular permeability in these sites.

Barrier properties of testis microvessels

The blood-testis barrier is believed to be constituted by tight junctions between Sertoli cells in seminiferous tubules and possibly by myoid cells that encircle these tubules. We now show that testis microvessels are endowed with several markers of barrier properties of brain microvessels, such as the glucose transporter, P-glycoprotein, and gamma-glutamyl transpeptidase. Quantitative EM studies show that the endothelium in testis, as in brain, is continuous and has long junctional profiles and few vesicles. However, a small proportion of testis capillaries have expansions in their junctional clefts suggestive of patent paracellular channels, which may explain their higher permeability. Because barrier features are thought to be induced and/or maintained in brain microvessels by astrocytes, we assessed whether astrocyte-like cells exist in the testis. We found that the intertubular Leydig cells, adjacent to microvessels, express the astrocyte markers: glial fibrillary acidic protein, glutamine synthetase, and S-100 protein. We suggest that the testis endothelium contributes to the blood-testis barrier and that these endothelial barrier features are influenced by Leydig cells. We believe that the endothelial and the epithelial (Sertoli) components of the blood-testis barrier are "in series" and complement each other in achieving a stable milieu for spermatogenesis.