Viscoplasticity of respiratory tissues

Low-frequency mechanical behavior of various respiratory tissues shows certain similarities. In this study we test the hypothesis that rate-independent plastic processes along with rate-dependent viscoelastic processes are responsible. We considered oscillatory responses of several respiratory tissues measured over prescribed ranges of frequency (up to 6 Hz) and amplitude of forcing. These included the excised cat lung, the human chest wall in vivo, and two components of the chest wall: the excised dog rib cage and the excised rabbit abdominal viscera; some data were previously reported and some are new. We analyzed these data using the viscoplastic model of Hildebrandt (J. Appl. Physiol. 28: 365-372, 1970). It consists of three compartments: a plastoelastic compartment mechanically in parallel with a viscoelastic compartment, both in series with a lumped inertia. We fitted oscillatory data of the above respiratory tissues to the model by a least-squares technique. The fit was qualitatively consistent with the observations and exhibited moderately good to very good quantitative correspondence. As an independent verification of this approach, we obtained the stress relaxation after a step-volume change. Based on the oscillatory response of cat lungs, the calculated stress relaxation function was found to be generally consistent with corresponding observations. This study indicates that both plasticity and viscoelasticity appear to be important determinants of mechanical behavior of respiratory tissues at low frequencies and that inertial effects are negligible.     

Stiffness changes in cultured airway smooth muscle cells

Airwaysmooth muscle (ASM) cells in culture stiffen when exposed tocontractile agonists. Such cell stiffening may reflect activation ofthe contractile apparatus as well as polymerization of cytoskeletalbiopolymers. Here we have assessed the relative contribution of thesemechanisms in cultured ASM cells stimulated with serotonin(5-hydroxytryptamine; 5-HT) in the presence or absence of drugs thatinhibit either myosin-based contraction or polymerization offilamentous (F) actin. Magnetic twisting cytometry was used to measurecell stiffness, and associated changes in structural organization ofactin cytoskeleton were evaluated by confocal microscopy. We found that5-HT increased cell stiffness in a dose-dependent fashion and alsoelicited rapid formation of F-actin as marked by increased intensity ofFITC-phalloidin staining in these cells. A calmodulin antagonist (W-7),a myosin light chain kinase inhibitor (ML-7) and a myosin ATPaseinhibitor (BDM) each ablated the stiffening response but not theF-actin polymerization induced by 5-HT. Agents that inhibited theformation of F-actin (cytochalasin D, latrunculin A, C3 exoenzyme, andY-27632) attenuated both baseline stiffness and the extent of cellstiffening in response to 5-HT. Together, these data suggest thatagonist-evoked stiffening of cultured ASM cells requires actinpolymerization as well as myosin activation and that neitheractin polymerization nor myosin activation by itself is sufficient toaccount for the cell stiffening response.

     

Is cytoskeletal tension a major determinant of cell deformability in adherent endothelial cells?

We tested the hypothesis that mechanical tension in thecytoskeleton (CSK) is a major determinant of cell deformability. To confirm that tension was present in adherent endothelial cells, weeither cut or detached them from their basal surface by a microneedle. After cutting or detachment, the cells rapidly retracted. This retraction was prevented, however, if the CSK actin lattice was disrupted by cytochalasin D (Cyto D). These results confirmed thatthere was preexisting CSK tension in these cells and that the actinlattice was a primary stress-bearing component of the CSK. Second, todetermine the extent to which that preexisting CSK tension could altercell deformability, we developed a stretchable cell culture membranesystem to impose a rapid mechanical distension (and presumably a rapidincrease in CSK tension) on adherent endothelial cells. Altered celldeformability was quantitated as the shear stiffness measured bymagnetic twisting cytometry. When membrane strain increased 2.5 or 5%,the cell stiffness increased 15 and 30%, respectively. Disruption ofactin lattice with Cyto D abolished this stretch-induced increase instiffness, demonstrating that the increased stiffness depended on theintegrity of the actin CSK. Permeabilizing the cells with saponin andwashing away ATP and Ca²⁺ did notinhibit the stretch-induced stiffening of the cell. These resultssuggest that the stretch-induced stiffening was primarily due to thedirect mechanical changes in the forces distending the CSK but not toATP- or Ca²⁺-dependent processes.Taken together, these results suggest preexisting CSK tension is amajor determinant of cell deformability in adherent endothelial cells.

     

Perturbed equilibria of myosin binding in airway smooth muscle: bond-length distributions, mechanics, and ATP metabolism

We carried out a detailed mathematical analysis of the effects of length fluctuations on the dynamically evolving cross-bridge distributions, simulating those that occur in airway smooth muscle during breathing. We used the latch regulation scheme of Hai and Murphy (Am. J. Physiol. Cell Physiol. 255:C86-C94, 1988) integrated with Huxley's sliding filament theory of muscle contraction. This analysis showed that imposed length fluctuations decrease the mean number of attached bridges, depress muscle force and stiffness, and increase force-length hysteresis. At frequencies >0.1 Hz, the bond-length distribution of slowly cycling latch bridges changed little over the stretch cycle and contributed almost elastically to muscle force, but the rapidly cycling cross-bridge distribution changed substantially and dominated the hysteresis. By contrast, at frequencies <0.033 Hz this behavior was reversed: the rapid cycling cross-bridge distribution changed little, effectively functioning as a constant force generator, while the latch bridge bond distribution changed substantially and dominated the stiffness and hysteresis. The analysis showed the dissociation of force/length hysteresis and cross-bridge cycling rates when strain amplitude exceeds 3%; that is, there is only a weak coupling between net external mechanical work and the ATP consumption required for cycling cross-bridges during the oscillatory steady state. Although these results are specific to airway smooth muscle, the approach generalizes to other smooth muscles subjected to cyclic length fluctuations.     

Mechanical properties of cultured human airway smooth muscle cells from 0.05 to 0.4 Hz.

We investigated the rheological properties of living human airway smooth muscle cells in culture and monitored the changes in rheological properties induced by exogenous stimuli. We oscillated small magnetic microbeads bound specifically to integrin receptors and computed the storage modulus (G') and loss modulus (G") from the applied torque and the resulting rotational motion of the beads as determined from their remanent magnetic field. Under baseline conditions, G' increased weakly with frequency, whereas G" was independent of the frequency. The cell was predominantly elastic, with the ratio of G" to G' (defined as eta) being approximately 0. 35 at all frequencies. G' and G" increased together after contractile activation and decreased together after deactivation, whereas eta remained unaltered in each case. Thus elastic and dissipative stresses were coupled during changes in contractile activation. G' and G" decreased with disruption of the actin fibers by cytochalasin D, but eta increased. These results imply that the mechanisms for frictional energy loss and elastic energy storage in the living cell are coupled and reside within the cytoskeleton.     

Mechanical coupling of the rib cage, abdomen, and diaphragm through their area of apposition

Although volumetric displacements of the chest wall are often analyzed in terms of two independent parallel pathways (rib cage and abdomen), Loring and Mead have argued that these pathways are not mechanically independent (J. Appl. Physiol. 53: 756-760, 1982). Because of its apposition with the diaphragm, the rib cage is exposed to two distinct pressure differences, one of which depends on abdominal pressure. Using the analysis of Loring and Mead as a point of departure, we developed a complementary analysis in which mechanical coupling of the rib cage, abdomen, and diaphragm is modeled by a linear translational transformer. This model has the advantage that it possesses a precise electrical analogue. Pressure differences and compartmental displacements are related by the transformation ratio (n), which is the mechanical advantage of abdominal over pleural pressure changes in displacing the rib cage. In the limiting case of very high lung volume, n----0 and the pathways uncouple. In the limit of very small lung volume, n----infinity and the pathways remain coupled; both rib cage and abdomen are driven by abdominal pressure alone, in accord with the Goldman-Mead hypothesis. A good fit was obtained between the model and the previously reported data for the human chest wall from 0.5 to 4 Hz (J. Appl. Physiol. 66:350-359, 1989). The model was then used to estimate rib cage, diaphragm, and abdominal elastance, resistance, and inertance. The abdomen was a high-elastance high-inertance highly damped compartment, and the rib cage a low-elastance low-inertance more lightly damped compartment. Our estimate that n = 1.9 is consistent with the findings of Loring and Mead and suggests substantial pathway coupling.     

Hypercompliant Apical Membranes of Bladder Umbrella Cells

Urinary bladder undergoes dramatic volume changes during filling and voiding cycles. In the bladder the luminal surface of terminally differentiated urothelial umbrella cells is almost completely covered by plaques. These plaques (500 to 1000 nm) are made of a family of proteins called uroplakins that are known to form a tight barrier to prevent leakage of water and solutes. Electron micrographs from previous studies show these plaques to be interconnected by hinge regions to form structures that appear rigid, but these same structures must accommodate large changes in cell shape during voiding and filling cycles. To resolve this paradox, we measured the stiffness of the intact, living urothelial apical membrane and found it to be highly deformable, even more so than the red blood cell membrane. The intermediate cells underlying the umbrella cells do not have uroplakins but their membranes are an order of magnitude stiffer. Using uroplakin knockout mouse models we show that cell compliance is conferred by uroplakins. This hypercompliance may be essential for the maintenance of barrier function under dramatic cell deformation during filling and voiding of the bladder.     

Role of heat shock protein 27 in cytoskeletal remodeling of the airway smooth muscle cell.

Remodeling of the airway smooth muscle (ASM) cell has been proposed to play an important role in airway hyperresponsiveness. Using a functional assay, we have assessed remodeling of the cultured rat ASM cell and the role of heat shock protein (HSP) 27 in that process. To probe remodeling dynamics, we measured spontaneous motions of an individual Arg-Gly-Asp-coated microbead that was anchored to the cytoskeleton. We reasoned that the bead could not move unless the microstructure to which it is attached rearranged; if so, then its mean square displacement (MSD) would report ongoing internal reorganizations over time. Each bead displayed a random, superdiffusive motion; MSD increased with time as approximately t(1.7), whereas an exponent of unity would be expected for a simple passive diffusion. Increasing concentrations of cytochalasin-D or latrunculin-A caused marked increases in the MSD, whereas colchicine did not. Treatments with PDGF or IL-1beta, but not transforming growth factor-beta, caused decreases in the MSD, the extent of which rank-ordered with the relative potency of these agents in eliciting the phosphorylation of HSP27. The chemical stressors anisomycin and arsenite each increased the levels of HSP27 phosphorylation and, at the same time, decreased bead motions. In particular, arsenite prevented and even reversed the effects of cytochalasin-D on bead motions. Finally, ASM cells overexpressing phospho-mimicking human HSP27, but not wild-type or phosphorylation-deficient HSP27, exhibited decreases in bead motions that were comparable to the arsenite response. Taken together, these results show that phosphorylated HSP27 favors reduced bead motions that are probably due to stabilization of the actin cytoskeleton.     

Friction in airway smooth muscle: mechanism, latch, and implications in asthma

Fredberg, J. J., K. A. Jones, M. Nathan, S. Raboudi,Y. S. Prakash, S. A. Shore, J. P. Butler, and G. C. Sieck. Friction in airway smooth muscle: mechanism, latch, andimplications in asthma. J. Appl.Physiol. 81(6): 2703-2712, 1996.In muscle,active force and stiffness reflect numbers of actin-myosin interactions and shortening velocity reflects their turnover rates, but the molecular basis of mechanical friction is somewhat less clear. Tobetter characterize molecular mechanisms that govern mechanical friction, we measured the rate of mechanical energy dissipation and therate of actomyosin ATP utilization simultaneously in activated canineairway smooth muscle subjected to small periodic stretches as occur inbreathing. The amplitude of the frictional stress is proportional toE, where E is the tissue stiffness defined by the slope of theresulting force vs. displacement loop and  is the hysteresivitydefined by the fatness of that loop. From contractile stimulus onset,the time course of frictional stress amplitude followed a biphasicpattern that tracked that of the rate of actomyosin ATP consumption.The time course of hysteresivity, however, followed a differentbiphasic pattern that tracked that of shortening velocity. Takentogether with an analysis of mechanical energy storage and dissipationin the cross-bridge cycle, these results indicate, first, that likeshortening velocity and the rate of actomyosin ATP utilization,mechanical friction in airway smooth muscle is also governed by therate of cross-bridge cycling; second, that changes in cycling rateassociated with conversion of rapidly cycling cross bridges to slowlycycling latch bridges can be assessed from changes of hysteresivity ofthe force vs. displacement loop; and third, that steady-state forcemaintenance (latch) is a low-friction contractile state. This lastfinding may account for the unique inability of asthmatic patients to reverse spontaneous airways obstruction with a deep inspiration.

     

Heterogeneity of mean alveolar pressure during high-frequency oscillations

Mean alveolar pressure may exceed mean airway pressure during high-frequency oscillations (HFO). To assess the magnitude of this effect and its regional heterogeneity, we studied six excised dog lungs during HFO [frequency (f) 2-32 Hz; tidal volume (VT) 5-80 ml] at transpulmonary pressures (PL) of 6, 10, and 25 cmH2O. We measured mean pressure at the airway opening (Pao), trachea (Ptr), and four alveolar locations (PA) using alveolar capsules. Pao was measured at the oscillator pump, wherein the peak dynamic head was less than 0.2 cmH2O. Since the dynamic head was negligible here, and since these were excised lungs, Pao thus represented true applied transpulmonary pressure. Ptr increasingly underestimated Pao as f and VT increased, with Pao - Ptr approaching 8 cmH2O. PA (averaged over all locations) and Pao were nearly equal at all PL's, f's, and VT's, except at PL of 6, f 32 Hz, and VT 80 ml, where (PA - Pao) was 3 cmH2O. Remarkably, mean pressure in the base exceeded that in the apex increasingly as f and VT increased, the difference approaching 3 cmH2O at high f and VT. We conclude that, although global alveolar overdistension assessed by PA - Pao is small during HFO under these conditions, larger regional heterogeneity in PA's exists that may be a consequence of airway branching angle asymmetry and/or regional flow distribution.