Geometric hysteresis of alveolated ductal architecture

Low Reynolds number airflow in the pulmonary acinus and aerosol particle kinetics therein are significantly conditioned by the nature of the tidal motion of alveolar duct geometry. At least two components of the ductal structure are known to exhibit stress-strain hysteresis: smooth muscle within the alveolar entrance rings, and surfactant at the air-tissue interface. We hypothesize that the geometric hysteresis of the alveolar duct is largely determined by the interaction of the amount of smooth muscle and connective tissue in ductal rings, septal tissue properties, and surface tension-surface area characteristics of surfactant. To test this hypothesis, we have extended the well-known structural model of the alveolar duct by Wilson and Bachofen (1982, "A Model for Mechanical Structure of the Alveolar Duct," J. Appl. Physiol. 52(4), pp. 1064-1070) by adding realistic elastic and hysteretic properties of (1) the alveolar entrance ring, (2) septal tissue, and (3) surfactant. With realistic values for tissue and surface properties, we conclude that: (1) there is a significant, and underappreciated, amount of geometric hysteresis in alveolar ductal architecture; and (2) the contribution of smooth muscle and surfactant to geometric hysteresis are of opposite senses, tending toward cancellation. Quantitatively, the geometric hysteresis found experimentally by Miki et al. (1993, "Geometric Hysteresis in Pulmonary Surface-to-Volume Ratio during Tidal Breathing," J. Appl. Physiol. 75(4), pp. 1630-1636) is consistent with little or no smooth muscle tone in anesthetized rabbits in control conditions, and with substantial smooth muscle activation following methacholine challenge. The observed local hysteretic boundary motion of the acinar duct would result in irreversible acinar flow fields, which might be important mechanistic contributors to aerosol mixing and deposition deep in the lung.     

Analysis of stress distribution in the alveolar septa of normal and simulated emphysematic lungs.

The alveolar septum consists of a skeleton of fine collagen and elastin fibers, which are interlaced with a capillary network. Its mechanical characteristics play an important role in the overall performance of the lung. An alveolar sac model was developed for numerical analysis of the internal stress distribution and septal displacements within the alveoli of both normal and emphysematic saline-filled lungs. A scanning electron micrograph of the parenchyma was digitized to yield a geometric replica of a typical two-dimensional alveolar sac. The stress-strain relationship of the alveolar tissue was adopted from experimental data. The model was solved by using commercial finite-element software for quasi-static loading of alveolar pressure. Investigation of the state of stresses and displacements in a healthy lung simulation yielded values that compared well with experimentally reported data. Alteration of the mechanical characteristics of the alveolar septa to simulate elastin destruction in the emphysematic model induced significant stress concentrations (e.g., at a lung volume of 60% total capacity, tensions at certain parts in an emphysematic lung were up to 6 times higher than those in a normal lung). The combination of highly elevated stress sites together with the cyclic loading of breathing may explain the observed progressive damage to elastin fibers in emphysematic patients.     

Lengths and topology of alveolar septal borders

To clarify the mechanics of alveolar parenchyma, we undertook a stereological and topological study in perfusion-fixed canine lungs of the borders of alveolar septa. We defined the principal borders as those along which one septum 1) joins two others (J), 2) joins one other at a distinct angle (B), or 3) joins no other structure (E). E and B borders are invariably reinforced with heavy connective tissue cables; J borders are not. Relative net lengths, determined from the number of traces per section area, were J, 45%; E, 19%; and B, 25%. These were remarkably constant over 10 canine lobes (5 animals, 4 volumes). Parenchyma, then, departs from the simple models that comprise only Js and Es. Bs are important; their net length exceeds that of Es. With lobe deflation, E shortened somewhat more than required to maintain geometric similarity, suggesting that the alveolar duct contracted disproportionately. A three-dimensional reconstruction was made from serial sections, and individual border segments were followed through the reconstruction. Typical lengths of individual J, B, and E borders were nearly equal. To characterize how the network of borders were interconnected, we counted the nodes at which they meet by class, e.g., EBE for the meeting of one B, two Es. The most common are JJJJ, 26%; EEEJ, 10%; EBJ, 24%; EBE, 8%; BBJJ, 12%. If parenchyma were constructed only from free-standing entrance rings and septal junctions, only JJJJ and EEEJ would be anticipated. The presence of EBJ, EBE, and BBJJ underscores parenchymal complexity. Only 7% of septa examined were bordered entirely by Js. Connective tissue cables were not confined to the alveolar duct's lumen but often extended to the primary septa at the periphery of the ductal unit. They rarely linked adjacent alveolar ducts; only 1 in 200 cable segments crossed from one duct to another. These observations support the concept that the parenchyma is an elastic network, characterized in part by a serial mechanical linkage from connective tissue cable to septal membrane to cable again.     

Variation of lung volume after fixation when measured by immersion or Cavalieri method

Organ volume is a critical parameter in morphometric analysis. The special problems of the lung as a nonsolid organ are overcome by tracheal instillation of fixatives at a constant airway pressure (P(aw)). Lung volume can change significantly after fixation as P(aw) change. To determine the variation of lung volume after fixation, we measured the volume of intact fixed lungs by serial immersion in saline (V(imm)) at selected time points, compared with measurements obtained by point counting [Cavalieri Principle (V(cav))] after tissue sectioning to release P(aw). V(imm) was systematically higher than V(cav) by 25% in dog lungs and 13% in guinea pig lungs (P = 0.0003 between species). This size-dependent variability reflects residual elastic recoil, refolding and/or crumpling of alveolar septa after fixation. V(imm) remained 14% higher than V(cav) in dog lungs even after pressure release. V(cav)/V(imm) was systematically lower in the upper than the lower strata of the same lung. We conclude that V(cav) measured on lung slices after relaxation of P(aw) more precisely represents the state of the tissue to be used for subsequent morphometric analysis, particularly for large lungs.     

Development of left/right handedness in the chick heart.

The chick heart tube develops from the fusion of the right and left areas of precardiac mesoderm and in almost all cases loops to the embryo's right-hand side. We have investigated whether any intrinsic difference exists in the right and left areas of precardiac mesoderm, that influences the direction of looping of the heart tube. Chick embryos incubated to stages 4,5 and 6 were cultured by the New method. Areas of precardiac mesoderm were exchanged between donor and host embryos of the same stage and different stages to form control, double-right and double-left sided embryos. Overall, double-right sided embryos formed many more left-hand loops than double-left sided embryos. At stages 4 and 5 a small percentage of double-right embryos formed left-hand loops (13%) whereas at stage 6 almost 50% of hearts had left-hand loops. Control embryos formed right-hand loops in 97% of cases. The stability of right-hand heart looping by double-left sided embryos, may be related to the process of 'conversion', whereas the direction of looping by double-right sided embryos has become randomised. There is some indication that an intrinsic change occurred in the precardiac mesoderm between stages 5 and 6 that later influenced the direction of looping of the heart tube. The direction of body turning is suggested to be linked to the direction of heart looping.     

Light scattering by lungs correlates with stereological measurements

The pattern of light backscattered by lung tissue should depend strongly on the size of air spaces and equivalently on the internal surface area of the lung. To verify and apply this, we shone a laser beam into excised lungs through the pleural surface and measured the backscattered light surrounding the beam with a focused photodetector. The intensity, I, fell off as a function of distance, r, from the point of entry of light. The configurations of I(r) curves corresponded closely to theory over a 3-decade range of I. I(r) changed systematically with lung volume. The optical mean free path, lambda, was calculated from I(r) curves in a series of canine lobes fixed immediately after optical scanning and was compared with stereological measurement of mean linear intercept, Lm, an index of alveolar size. At high lung volumes the relation of lambda to Lm was consistent with reflection by alveolar septa. At lower lung volumes there appeared to be, additionally, a substantial refractive component. This technique is independent of current stereological methods and has the advantages of being noninvasive, continuous, and potentially applicable to dynamic events in unfixed lungs.     

含羞草(Mimosa pudica L.)叶片匀浆悬浮液的滞后环

由于受力后叶子立即发生运动 ,含羞草是一个研究力对于生物细胞作用的良好模型。在以往的研究中 ,人们认为此种现象与受力后渗透压改变、离子通道被激活、细胞骨架的动态变化有关。该文旨在通过观察含羞草叶片和叶柄匀浆悬浮液的应力 切变率滞后环变化 ,揭示含羞草的力学性质。在用于比较的含羞草、叶下珠和猪骨骼肌匀浆悬浮液以及水 4个系统中 ,只有含羞草系统具有明显的逆时针滞后环轨迹 ,而其它的 3个系统均不存在。以上结果提示 ,在含羞草的匀浆悬浮液系统中 ,有一种或多种物质 (可能是蛋白质和细胞骨架 )在剪切应力作用过程中由颗粒状结构向网状结构转变 ,由无序结构向有序结构转变 ,由液体结构向黏弹性状态转变 ,而当力撤除以后再缓慢恢复。     

Enhancement of the endotoxin recognition pathway by ventilation with a large tidal volume in rabbits

Ventilation with a small tidal volume (V(t)) is associated with better clinical outcomes than with a large V(t), particularly in critical settings, including acute lung injury. To determine whether V(t) influences the lipopolysaccaharide (LPS) recognition pathway, we studied CD14 expression in rabbit lungs and the release of TNF-alpha by cultured alveolar macrophages after 240 min of ventilation with a large (20 ml/kg) vs. a small (5 ml/kg) V(t). We also applied small or large V(t) to lungs instilled with 50 microg/kg of LPS. The alveolar macrophages collected after large V(t) ventilation revealed a 20-fold increase in LPS-induced TNF-alpha release compared with those collected after small V(t) ventilation, whereas TNF-alpha was undetectable without LPS stimulation. In animals ventilated with a large V(t), the expression of CD14 mRNA in whole lung homogenates and the expression of CD14 protein on alveolar macrophages, assessed by immunohistochemistry, were both significantly increased in the absence of LPS stimulation. A large V(t) applied to LPS-instilled lungs increased the pulmonary albumin permeability and TNF-alpha release into the plasma. These results suggest that mechanical stress caused by a large V(t) sensitizes the lungs to endotoxin, a phenomenon that may occur partially via the upregulation of CD14.     

Computational analysis of looping of a large family of highly bent DNA by LacI

Sequence-dependent intrinsic curvature of DNA influences looping by regulatory proteins such as LacI and NtrC. Curvature can enhance stability and control shape, as observed in LacI loops formed with three designed sequences with operators bracketing an A-tract bend. We explore geometric, topological, and energetic effects of curvature with an analysis of a family of highly bent sequences, using the elastic rod model from previous work. A unifying straight-helical-straight representation uses two phasing parameters to describe sequences composed of two straight segments that flank a common helically supercoiled segment. We exercise the rod model over this two-dimensional space of phasing parameters to evaluate looping behaviors. This design space is found to comprise two subspaces that prefer parallel versus anti-parallel binding topologies. The energetic cost of looping varies from 4 to 12 kT. Molecules can be designed to yield distinct binding topologies as well as hyperstable or hypostable loops and potentially loops that can switch conformations. Loop switching could be a mechanism for control of gene expression. Model predictions for linking numbers and sizes of LacI-DNA loops can be tested using multiple experimental approaches, which coupled with theory could address whether proteins or DNA provide the observed flexibility of protein-DNA loops.     

Real-time observation of DNA looping dynamics of Type IIE restriction enzymes NaeI and NarI

Many restriction enzymes require binding of two copies of a recognition sequence for DNA cleavage, thereby introducing a loop in the DNA. We investigated looping dynamics of Type IIE restriction enzymes NaeI and NarI by tracking the Brownian motion of single tethered DNA molecules. DNA containing two endonuclease recognition sites spaced a few 100 bp apart connect small polystyrene beads to a glass surface. The position of a bead is tracked through video microscopy. Protein-mediated looping and unlooping is then observed as a sudden specific change in Brownian motion of the bead. With this method we are able to directly follow DNA looping kinetics of single protein–DNA complexes to obtain loop stability and loop formation times. We show that, in the absence of divalent cations, NaeI induces DNA loops of specific size. In contrast, under these conditions NarI mainly creates non-specific loops, resulting in effective DNA compaction for higher enzyme concentrations. Addition of Ca²⁺ increases the NaeI-DNA loop lifetime by two orders of magnitude and stimulates specific binding by NarI. Finally, for both enzymes we observe exponentially distributed loop formation times, indicating that looping is dominated by (re)binding the second recognition site.     

Function and Assembly of DNA Looping,Clustering, and Microtubule Attachment Complexes within a Eukaryotic Kinetochore

The kinetochore is a complex protein–DNA assembly that provides the mechanical linkage between microtubules and the centromere DNA of each chromosome. Centromere DNA in all eukaryotes is wrapped around a unique nucleosome that contains the histone H3 variant CENP-A (Cse4p in Saccharomyces cerevisiae). Here, we report that the inner kinetochore complex (CBF3) is required for pericentric DNA looping at the Cse4p-containing nucleosome. DNA within the pericentric loop occupies a spatially confined area that is radially displaced from the interpolar central spindle. Microtubule-binding kinetochore complexes are not involved in pericentric DNA looping but are required for the geometric organization of DNA loops around the spindle microtubules in metaphase. Thus, the mitotic segregation apparatus is a composite structure composed of kinetochore and interpolar microtubules, the kinetochore, and organized pericentric DNA loops. The linkage of microtubule-binding to centromere DNA-looping complexes positions the pericentric chromatin loops and stabilizes the dynamic properties of individual kinetochore complexes in mitosis.     

Relations among alveolar surface tension, surface area, volume, and recoil pressure

For pulmonary structure-function analysis excised rabbit lungs were fixed by vascular perfusion at six points on the pressure-volume (P-V) curve, i.e. at 40, 80, and 100% of total lung capacity (TLC) on inflation, at 80 and 40% TLC on deflation, and at 80% TLC on reinflation. Before fixation alveolar surface tensions (gamma) were measured in individual alveoli over the entire P-V loop, using an improved microdroplet method. A maximal gamma of approximately 30 mN/m was measured at TLC, which decreased during lung deflation to about 1 mN/m at 40% TLC. Surface tensions were considerably higher on the inflation limb starting from zero pressure than on the deflation limb (gamma-V hysteresis). In contrast, the corresponding alveolar surface area-volume (SA-V) relationship did not form a complete hysteresis over the entire volume range. There was a considerable difference in SA between lungs inflated to 40% TLC (1.49 +/- 0.11 m2) and lungs deflated to 40% TLC (2.19 +/- 0.21 m2), but at 80% TLC the values of SA were essentially the same regardless of the volume history. The data indicate that the gamma-SA hysteresis is only in part accountable for the P-V hysteresis and that the determinative factors of alveolar geometry change with lung volume. At low lung volumes airspace dimensions appear to be governed by an interplay between surface and tissue forces. At higher lung volumes the tissue forces become predominant.     

Connective matrix organization in human pulmonary fibrosis. Collagen polymorphism analysis in fibrotic deposits by immunohistological methods

In the interstitium of the alveolar septa in the peripheral parts of the lung, four molecular types of collagen (I, III, IV and V) each with different morphological appearances, can be identified. The structural integrity of collagens accounts for the physiological efficiency of the lung. Fibrous thickening of alveolar septa is an invariable result of various diseases affecting the interstitium of the lung. The light and electron microscopic findings, and the immunological typing of collagens in six cases of fibrotic alveolar disease, are described. In the alveolar septa, two different compartments (the alveolo-capillary junction and the supportive axis) were affected by fibrosis: the alveolo-capillary junction was widened by the addition of interstitial collagens to basement membranes. In the axis, the increase of interstitial (types I and III) collagen gave rise to different patterns of connective matrix organization, graded as Loose or Dense depending on quantitative alterations of the type I/III ratio. The mode of organization of the fibrotic lung connective matrix, which depends on the quality of deposits in the matrix, may be correlated with the evolution of interstitial pulmonary fibrosis, in terms of its stability, remodelling ability and reversibility.     

Biophysical mechanisms of cardiac looping

During early embryogenesis, the heart is a single, relatively straight tube which bends and twists (loops) rightward to create the basic plan of the mature heart. Despite intensive study for many decades, the biophysical mechanisms which drive and regulate cardiac looping have remained poorly understood. This review discusses, from a historical perspective, studies of looping mechanics and various theories which have been proposed for this complex process. Then, based on recently acquired data, a new biomechanical hypothesis is proposed for the rst phase of looping (c-looping). Understanding morphogenetic mechanisms would facilitate research devoted to preventing and treating congenital heart malformations caused by looping abnormalities.     

Gene repression by minimal lac loops in vivo

The inflexibility of double-stranded DNA with respect to bending and twisting is well established in vitro. Understanding apparent DNA physical properties in vivo is a greater challenge. Here, we exploit repression looping with components of the Escherichia coli lac operon to monitor DNA flexibility in living cells. We create a minimal system for testing the shortest possible DNA repression loops that contain an E. coli promoter, and compare the results to prior experiments. Our data reveal that loop-independent repression occurs for certain tight operator/promoter spacings. When only loop-dependent repression is considered, fits to a thermodynamic model show that DNA twisting limits looping in vivo, although the apparent DNA twist flexibility is 2- to 4-fold higher than in vitro. In contrast, length-dependent resistance to DNA bending is not observed in these experiments, even for the shortest loops constraining <0.4 persistence lengths of DNA. As observed previously for other looping configurations, loss of the nucleoid protein heat unstable (HU) markedly disables DNA looping in vivo. Length-independent DNA bending energy may reflect the activities of architectural proteins and the structure of the DNA topological domain. We suggest that the shortest loops are formed in apical loops rather than along the DNA plectonemic superhelix.     

Connecting incremental shear modulus and Poisson's ratio of lung tissue with morphology and rheology of microstructure

The width and curvature of the collagen and elastin fiber bundles in the human pulmonary interalveolar septa and alveolar mouths are measured. The data, together with the known mechanical properties of collagen and elastin fibers, are used to derive the incremental elastic moduli of the lung tissue. The constitutive equation for small incremental stress and strain superposed on a homeostatic inflated lung is linear and isotropic, and characterized by two material constants.     

Statistical-mechanical theory of DNA looping

The lack of a rigorous analytical theory for DNA looping has caused many DNA-loop-mediated phenomena to be interpreted using theories describing the related process of DNA cyclization. However, distinctions in the mechanics of DNA looping versus cyclization can have profound quantitative effects on the thermodynamics of loop closure. We have extended a statistical mechanical theory recently developed for DNA cyclization to model DNA looping, taking into account protein flexibility. Notwithstanding the underlying theoretical similarity, we find that the topological constraint of loop closure leads to the coexistence of multiple classes of loops mediated by the same protein structure. These loop topologies are characterized by dramatic differences in twist and writhe; because of the strong coupling of twist and writhe within a loop, DNA looping can exhibit a complex overall helical dependence in terms of amplitude, phase, and deviations from uniform helical periodicity. Moreover, the DNA-length dependence of optimal looping efficiency depends on protein elasticity, protein geometry, and the presence of intrinsic DNA bends. We derive a rigorous theory of loop formation that connects global mechanical and geometric properties of both DNA and protein and demonstrates the importance of protein flexibility in loop-mediated protein-DNA interactions.     

Lung inflation does not increase maximal expiratory flow during induced obstruction in the dog

A deep inflation (DI) reverses induced bronchoconstriction in normal human subjects whether assessed by airway resistance before and after a DI or by isovolumic maximal expiratory flows (Vmax) from partial expiratory flow-volume (PEFV) vs. maximum expiratory flow-volume (MEFV) maneuvers. These observations suggest that with induced constriction the hysteresis of airways exceeds that of the parenchyma. In contrast with humans, a previous study of ours on dogs indicated that induced increases in airway resistance were unaffected by DI, suggesting that hysteresis of airways and parenchyma were equal. We hypothesized therefore that in constricted dog lungs, any differences that might arise in isovolumic Vmax between PEFV and MEFV maneuvers would not be due to changes in airway caliber but rather would be wholly determined by isovolumic differences in deflational recoil pressures. Recoil pressures were dynamically measured using six separate alveolar capsules in each of six dogs. At base line there were no significant differences between isovolumic recoil pressures or maximal flows with volume history, suggesting equal degrees of airway and parenchymal hysteresis. After histamine-induced constriction there were also no isovolumic differences in flows, but due to striking nonhomogeneities in dynamic recoil pressure among alveolar capsules, it was not possible to express a single meaningful recoil pressure pertinent to the lungs as a whole. These findings are consistent with the idea that isovolumic comparisons of Vmax serve as a reasonable indicator of changes in the relative degree of airway and parenchymal hysteresis.