Elastic properties of the bronchial mucosa: epithelial unfolding and stretch in response to airway inflation.

The bronchial mucosa contributes to elastic properties of the airway wall and may influence the degree of airway expansion during lung inflation. In the deflated lung, folds in the epithelium and associated basement membrane progressively unfold on inflation. Whether the epithelium and basement membrane also distend on lung inflation at physiological pressures is uncertain. We assessed mucosal distensibility from strain-stress curves in mucosal strips and related this to epithelial length and folding. Mucosal strips were prepared from pig bronchi and cycled stepwise from a strain of 0 (their in situ length at 0 transmural pressure) to a strain of 0.5 (50% increase in length). Mucosal stress and epithelial length in situ were calculated from morphometric data in bronchial segments fixed at 5 and 25 cmH(2)O luminal pressure. Mucosal strips showed nonlinear strain-stress properties, but regions at high and low stress were close to linear. Stresses calculated in bronchial segments at 5 and 25 cmH(2)O fell in the low-stress region of the strain-stress curve. The epithelium of mucosal strips was deeply folded at low strains (0-0.15), which in bronchial segments equated to < or =10 cmH(2)O transmural pressure. Morphometric measurements in mucosal strips at greater strains (0.3-0.4) indicated that epithelial length increased by approximately 10%. Measurements in bronchial segments indicated that epithelial length increased approximately 25% between 5 and 25 cmH(2)O. Our findings suggest that, at airway pressures <10 cmH(2)O, airway expansion is due primarily to epithelial unfolding but at higher pressures the epithelium also distends.     

Airway narrowing and internal structural constraints.

A computer model has been developed to simulate the movement restriction in the lamina propria-submucosa (L-S) layer (sandwiched by the basement membrane and the muscle layer) in a cartilage-free airway due to constriction of the smooth muscle layer. It is assumed that the basement membrane is inextensible; therefore, in the two-dimensional simulation, the perimeter outlining the membrane is a constant whether the airway is constricted or dilated. The cross-sectional area of the L-S layer is also assumed to be constant during the simulated airway narrowing. Folding of the mucosal membrane in constricted airways is assumed to be a consequence of the L-S area conservation and also due to tethering between the basement membrane and the muscle layer. The number of tethers determines the number of folds. The simulation indicates that the pressure in the L-S layer resulting from movement restriction can be a major force opposing muscle contraction and that the maximum shortening of the muscle layer is inversely proportional to the number of tethers (or folds) and the L-S layer thickness.     

Computational analysis of flow structure and particle deposition in a single asthmatic human airway bifurcation

This paper aims to improve current understanding of flow structure and particle deposition in asthmatic human airways. A single, symmetric airway bifurcation, corresponding to generations 10–11 of Weibel’s model, is investigated through validated numerical simulations. The parent airway segment is modelled as a smooth circular tube. The child segments are considered asthmatic and their cross-section is modelled as a constricted tube with sinusoidal folds uniformly distributed along the circumference. The flow structure and particle deposition pattern for normal (i.e., healthy) and asthmatic airway bifurcations are compared and discussed. The numerical results reveal that the secondary flow in the asthmatic airway bifurcation is much stronger than in the healthy one, resulting in higher particle deposition. The effects of size of the lumen area and number of folds on particle deposition and pressure drop are also investigated. It is found that particle deposition efficiency is significantly affected by lumen area of the asthmatic segment (the smaller the lumen area, the higher the particle deposition efficiency). The effect of number of folds is small. Particle deposition efficiency also increases with Reynolds number. The pressure drop in the asthmatic airway bifurcation depends mainly on size of the lumen area. The effect of number of folds becomes important for strongly collapsed airways.     

Immunofluorescent analysis of fibronectin and laminin distribution in the vl mutant mouse

Summary The distribution of fibronectin and laminin was determined in the basement membrane surrounding the caudal neural tube and at the site of initial apposition of the caudal neural folds by means of indirect immunofluorescence histochemistry on 9.0- to 10.5-day mouse embryos fixed in Carnoy's solution and serially sectioned in paraffin. At early phases of development of normal (+/+) and abnormal (vl/vl) embryos the dorsolateral neural basement membrane overlying putative neural crest cells caudal to the hindlimb shows a patchy fibronectin reaction, with laminin virtually absent. In older embryos, both components are present but are discontinuous overlying the neural crest. The results suggest that since discontinuities occur in the basement membrane of abnormal as well as normal embryos, the neural crest cells are not prevented from emigrating from the abnormal neural tube; thus the faulty neural fold fusion that characterizesvl/vl embryos does not appear to be due to a suppression of emigration by the basement membrane. The results also demonstrate the advantages and reliability of embedding in paraffin for analysis of serially sectioned pathological material by means of indirect immunofluorescence, provided that normal controls and abnormals are processed simultaneously.     

Processive acceleration of actin barbed-end assembly by N-WASP

Neuronal Wiskott–Aldrich syndrome protein (N-WASP)–activated actin polymerization drives extension of invadopodia and podosomes into the basement layer. In addition to activating Arp2/3, N-WASP binds actin-filament barbed ends, and both N-WASP and barbed ends are tightly clustered in these invasive structures. We use nanofibers coated with N-WASP WWCA domains as model cell surfaces and single-actin-filament imaging to determine how clustered N-WASP affects Arp2/3-independent barbed-end assembly. Individual barbed ends captured by WWCA domains grow at or below their diffusion-limited assembly rate. At high filament densities, however, overlapping filaments form buckles between their nanofiber tethers and myosin attachment points. These buckles grew ∼3.4-fold faster than the diffusion-limited rate of unattached barbed ends. N-WASP constructs with and without the native polyproline (PP) region show similar rate enhancements in the absence of profilin, but profilin slows barbed-end acceleration from constructs containing the PP region. Increasing Mg²⁺ to enhance filament bundling increases the frequency of filament buckle formation, consistent with a requirement of accelerated assembly on barbed-end bundling. We propose that this novel N-WASP assembly activity provides an Arp2/3-independent force that drives nascent filament bundles into the basement layer during cell invasion.     

Criteria for mucus transport in the airways by two-phase gas-liquid flow mechanism

The critical conditions for mucous layer transport in the respiratory airways by two-phase gas-liquid flow mechanism were investigated by using 0.5- and 1.0-cm-ID tube models. Several test liquids with rheological properties comparable to human sputum were supplied continuously into the vertically positioned tube models in such a way that the liquid could form a uniform layer while traveling upward through the tube with a continuous upward airflow. The critical airflow rate and critical liquid layer thickness required for the upward transport of the liquids were determined. The critical airflow rate was in the Reynolds number (Re) range of 142-1,132 in the 0.5-cm-ID tube model and 708-2,830 in the 1.0-cm-ID tube model depending on the types of liquids tested. In both models, the critical airflow rate was lower with viscoelastic liquids than with viscous oils. The critical liquid layer thickness ranged from 0.2 to 0.5 mm in the 0.5-cm-ID tube model and 0.8 to 1.4 mm in the 1.0-cm-ID tube model at Re of 2,800. These values decreased rapidly with increasing airflow rate. The critical thickness relative to the tube diameter ranged from 3 to 15% of the respective tube diameter and was lower by approximately 30-50% in the 0.5-cm-ID tube model than in the 1.0-cm-ID tube model over the entire Re range tested. The results indicate that the critical conditions for the mucus transport by two-phase gas-liquid flow mechanism are within the range that can be achieved in patients with bronchial hypersecretions during normal breathing.     

Fission of the bilayer lipid tube

The fusion of two black lipid membranes results in the formation of peculiar bilayer lipid tubes (‘cylindrical’) membranes (Neher, E. (1974) Biochim. Biophys. Acta 373, 328–336 and Melikyan, G.B., Abidor, L.G., Chernomordik, L.V. and Chailakhyan, L.M. (1983) Biochim. Biophys. Acta 730, 395–398). The mechanical stability of such tubes has been investigated experimentally and theoretically. With increasing hydrostatic pressure on the outside of the tube the radius of its middle part decreases. After this radius has reached a critical value, which constitutes 0.55 of the radius of the tube base, there occurs a collapse of the tube and its disintegration into two planar bilayers (fission). Expressions are obtained which relate the transmembrane difference of the hydrostatic pressure, causing the collapse, to the geometrical characteristics of the tube (its length and the radius of its base) and to the tension of the lipid bilayer. A method for measuring the membrane tension is proposed on the basis of the phenomenon considered.     

Optimal design of the tubular microporous membrane aerator for shear-sensitive cell cultures.

In this paper, a theoretical analysis of oxygen transport across the tubular microporous membrane is described. This analysis has provided some insight into the optimal design of the membrane aerator. It was found in this study, at fixed inlet pressure, that the overall membrane oxygen transfer rate increases with increased tubing length only up to a certain length, i.e., the "critical length". When a large membrane surface area is required, the fiber should be divided into parallel segments to increase the overall oxygen transfer rate. A manifold or a gas distributor can then be used to distribute gas into segments of tubing. The length of each segment cannot exceed the critical length. In addition, shorter tube segments should give a higher oxygen transfer rate per unit tube length; however, this advantage is counterbalanced by the fact that gas distribution into huge numbers of parallel tubings may not be uniform.     

Turgor Pressure Regulation in Valonia utricularis: Effect of Cell Wall Elasticity and Auxin

The electrical membrane resistance rho(0) of the marine alga Valonia utricularis shows a marked maximum in dependence on the turgor pressure. The critical pressure, P(c), at which the maximum occurs, as well as its absolute value, rho(0) (max), are strongly volume-dependent. Both P(c) and rho(0) (max), increase with decreasing cell volume. It seems likely, that these relationships reflect the elastic properties of the cell wall, because the volumetric elastic modulus, epsilon, is also volume-dependent, increasing hyperbolically with cell volume. Both P(c) and rho(0) (max) can be affected by external application of indole-3-acetic acid at concentrations of 2.10(-7)m to 2 .10(-5)m. The critical pressure is shifted by 1.2 to 6 bars toward higher pressures and the maximum membrane resistance increased up to 5.6-fold. During the course of the experiments (up to 4 hours), however, IAA had no effect on the volumetric elastic modulus, epsilon.The maximum in membrane resistance is discussed in terms of a pressure-dependent change of potassium fluxes. The volume dependence of P(c) and rho(0) (max) suggests that not only turgor pressure but also epsilon must be considered as a regulating parameter during turgor pressure regulation. On this basis a hypothesis is presented for the transformation of both, a pressure signal and of changes in the elastic properties of the cell wall into alterations of ion fluxes. It is assumed that the combined effects of tension and compression of the membranes as well as the interaction between membrane and cell wall opposingly change the number of transport sites for K(+) providing a turgor-sensing mechanism that regulates ion fluxes. The IAA effects demonstrated are consistent with this view, suggesting that the basic mechanisms for turgor pressure regulation and growth regulation are similar.Any relation connecting growth rate with turgor pressure should be governed by two parameters, i.e. by a yielding pressure, at which cell growth starts, and by the critical pressure, at which it ceases again.     

Blood vessel buckling within soft surrounding tissue generates tortuosity

The stability of blood vessel under lumen pressure load is essential to the maintenance of normal arterial function. Previous mechanical models showed that blood vessels may buckle into a half sine wave but arteries and veins in vivo often demonstrate tortuous paths with multiple waves. The objective of this study was to analyze the buckling of blood vessels under lumen pressure with surrounding tissue support. Blood vessels were modeled as elastic cylindrical vessels within an elastic substrate. Buckling equations were established to determine the critical pressure and the wavelength. These equations and simulation results demonstrated that blood vessels do take higher order mode shapes when buckling inside an elastic substrate while they take the basal mode shape without the substrate. The wave number increases i.e. blood vessels take a higher mode shape, as the stiffness of the substrate increases. These results suggest that mechanical buckling is a possible mechanism for the development of tortuous blood vessels. The current model provides a powerful tool for further studying the tortuosity of arteries and veins.     

A numerical model of expired flow in a monoalveolar lung model subjected to pressure ramps

A numerical investigation of pulmonary flow properties was carried out in a monoalveolar model composed of a balloon and a compliant tube in series, subjected to pressure ramps. The flow is shown to become quickly limited by a wave-speed mechanism, occurring at the peak flow. The critical point then travels upstream, while the main part of the exit flow rate is provided by the tube collapse. After the critical flow period, the flow becomes subcritical and viscous effects are predominant in the deeply collapsed tube.     

Numerical simulation of noninvasive blood pressure measurement

In this paper, a simulation model based on the partially pressurized collapsible tube model for reproducing noninvasive blood pressure measurement is presented. The model consists of a collapsible tube, which models the pressurized part of the artery, rigid pipes connected to the collapsible tube, which model proximal and distal region far from the pressurized part, and the Windkessel model, which represents the capacitance and the resistance of the distal part of the circulation. The blood flow is simplified to a one-dimensional system. Collapse and expansion of the tube is represented by the change in the cross-sectional area of the tube considering the force balance acting on the tube membrane in the direction normal to the tube axis. They are solved using the Runge-Kutta method. This simple model can easily reproduce the oscillation of inner fluid and corresponding tube collapse typical for the Korotkoff sounds generated by the cuff pressure. The numerical result is compared with the experiment and shows good agreement.     

A simple model for the two dimensional blood flow in the collapse of veins

Veins in the cardiovascular system may collapse if the internal pressure is less than the external pressure. Such collapse or buckling will have important consequence in terms of the rate of blood flow. Here a steady, parallel unidirectional flow as an exact solution of the continuity and the Navier Stokes equations is constructed. Various stages of the deformation process of the elastic tube (before contact of opposite sides occurring), from an ellipse to a `strongly buckled' configuration, are obtained in analytical forms as a by-product of the calculations. The pressure – area and the pressure – flow rate diagrams computed numerically from the model agree with the trends measured experimentally. Partial Financial Support has been provided by the Research Grants Council Contract HKU 7184/04E.     

The effect of ureteric stents on urine flow: Reflux

If the ureter becomes blocked, the resultant increased pressure may be relieved by inserting a double-J stent (a polymer tube, usually punctuated with holes). A major clinical problem associated with stent use is reflux (retrograde flow of urine from the bladder to the kidney), which may result in infections, scarring, and even renal failure. We develop a mathematical model, treating the ureter as an elastic tube and the stent as a permeable rigid tube within it. We investigate how the number of holes in the stent wall affects the total amount of reflux that occurs when bladder pressure rises, by considering the limits of a highly-permeable stent, and an impermeable stent. We find that, in the scenarios we consider, the highly-permeable stent gives rise to less total reflux than the impermeable one.Revised version: 8 August 2003     

Effect of the ventricular folds in a synthetic larynx model

Within the human larynx, the ventricular folds serve primarily as a protecting valve during swallowing. They are located directly above the sound-generating vocal folds. During normal phonation, the ventricular folds are passive structures that are not excited to periodical oscillations. However, the impact of the ventricular folds on the phonation process has not yet been finally clarified.An experimental synthetic human larynx model was used to investigate the effect of the ventricular folds on the phonation process. The model includes self-oscillating vocal fold models and allows the comparison of the pressure distribution at multiple locations in the larynx for configurations with and without ventricular folds.The results indicate that the ventricular folds increase the efficiency of the phonation process by reducing the phonation threshold level of the pressure below the vocal folds. Two effects caused by the ventricular folds could be identified as reasons: (1) a decrease in the mean pressure level in the region between vocal and ventricular folds (ventricles) and (2) an increase in the glottal flow resistance.The reason for the first effect is a reduction of the pressure level in the ventricles due to the jet entrainment and the low static pressure in the glottal jet. The second effect results from an increase in the glottal flow resistance that enhances the aerodynamic energy transfer into the vocal folds. This effect reduces the onset threshold of the pressure difference across the glottis.     

Electro-mechanical properties of human erythrocyte membranes: The pressure-dependence of potassium permeability

Summary Electrical breakdown of cell membranes is interpreted in terms of an electro-mechanical model. It postulates for certain finite membrane areas that the actual membrane thickness depends on the voltage across the membrane and the applied pressure. The magnitude of the membrane compression depends both on the dielectric constant and the compressive, elastic modulus transverse to the membrane plane. The theory predicts the existence of a critical absolute hydrostatic pressure at which the intrinsic membrane potential is sufficiently high to induce mechanical breakdown of the membrane. The theoretically expected value for the critical pressure depends on the assumption made both for the pressure-dependence of the elastic modulus of the membrane and of the intrinsic membrane potential. It is shown that the critical pressure is expected at about 65 MPa. The prediction of a critical pressure could be verified by subjecting human erythrocytes to high pressures (up to 100 MPa) in a hyperbaric chamber. The net potassium efflux in dependence on pressure was used as an criterion for breakdown. Whereas the potassium net efflux was linearly dependent on presure up to 60 MPa, a significant increase in potassium permeability was observed towards higher pressure in agreement with the theory. The increase as indicated by measurements in which the same erythrocyte sample was subjected to several consecutive pressure pulses. Temperature changes in the erythrocyte suspension during compression and decompression were so small (less than 2°C) that they could not account for the observed effects.     

Nephelometric determination of turgor pressure in growing gram-negative bacteria.

Gas vesicles were used as probes to measure turgor pressure in Ancylobacter aquaticus. The externally applied pressure required to collapse the vesicles in turgid cells was compared with that in cells whose turgor had been partially or totally removed by adding an impermeable solute to the external medium. Since gram-negative bacteria do not have rigid cell walls, plasmolysis is not expected to occur in the same way as it does in the cells of higher plants. Bacterial cells shrink considerably before plasmolysis occurs in hyperosmotic media. The increase in pressure required to collapse 50% of the vesicles as external osmotic pressure increases is less than predicted from the degree of osmotically inducible shrinkage seen with this organism or with another gram-negative bacterium. This feature complicates the calculation of the turgor pressure as the difference between the collapse pressure of vesicles with and without sucrose present in the medium. We propose a new model of the relationship between turgor pressure and the cell wall stress in gram-negative bacteria based on the behavior of an ideal elastic container when the pressure differential across its surface is decreased. We developed a new curve-fitting technique for evaluating bacterial turgor pressure measurements.     

Fluid-structure interaction in a pulmonary arterial bifurcation

A numerical method is developed to solve the fluid-structure interaction in three-dimensional pulmonary arterial bifurcation with collapsible tubes. A self-developed FEM code is used to calculate the nonlinear deformation of the thin-walled structure and a commercial CFD solver, FLUENT, is used to resolve the fluid flow. The large deformation of the structure alters the flow field significantly while the fluid pressure affects the deformation of the structure strongly. In the bifurcation branches, the relatively short tube collapses into wave number N=3 mode. The strong collapse of the branch tube leads to a large contraction of the cross-sectional area and increases the resistance on the fluid flow. The recirculation occurs at both the up- and down-stream of the collapsed tube.     

Distribution of fibronectin in the early phase of avian cephalic neural crest cell migration

Immunofluorescence and immunoperoxidase labeling for fibronectin was used to study the early events of cephalic neural crest cell migration in avian embryos. Prior to crest cell appearance, fibronectin was associated with the basement membranes of all tissues. The loose mesenchymal cells were also surrounded by this glycoprotein. The crest cell individualization phase included a transient rounding up and a rapid increase in cell number in a very limited space. Whereas the neural tube basement membrane was not formed dorsally at the site of emergence of crest cells, it was partially fused laterally with the ectoderm basement membrane apparently preventing immediate crest cell emigration. Further increase in cell number occurred concomitantly with their penetration between the two developing basement membranes of the neural tube and the ectoderm. The localization of migrating crest cells is apparently greatly influenced by local interactions between the ectoderm and the neural tube, whose morphogenesis differs considerably at each axial level: at the mesencephalic-rhombencephalic levels, crest cells rapidly reached a cell-free space that was mostly devoid of fibronectin. Further migration occurred laterally in that space while pioneer crest cells became surrounded by fibronectin in their environment. Crest cells progressed as a confluent multicellular layer with an apparent velocity of 70 μm/hr. At the prosencephalic and median rhombencephalic levels, crest cells accumulated between the fibronectin-rich basement membranes of the ectoderm and the neural tube. Pioneer crest cells were arrested at the site of attachment of the ectoderm and the neural tube basement membranes (i.e., optic vesicles and otic placodes). Crest cells resumed their migration when more space became available during the constriction of the optic vesicles and the invagination of the otic placodes.