A microstructurally based continuum model of cartilage viscoelasticity and permeability incorporating measured statistical fiber orientations

The remarkable mechanical properties of cartilage derive from an interplay of isotropically distributed, densely packed and negatively charged proteoglycans; a highly anisotropic and inhomogeneously oriented fiber network of collagens; and an interstitial electrolytic fluid. We propose a new 3D finite strain constitutive model capable of simultaneously addressing both solid (reinforcement) and fluid (permeability) dependence of the tissue’s mechanical response on the patient-specific collagen fiber network. To represent fiber reinforcement, we integrate the strain energies of single collagen fibers—weighted by an orientation distribution function (ODF) defined over a unit sphere—over the distributed fiber orientations in 3D. We define the anisotropic intrinsic permeability of the tissue with a structure tensor based again on the integration of the local ODF over all spatial fiber orientations. By design, our modeling formulation accepts structural data on patient-specific collagen fiber networks as determined via diffusion tensor MRI. We implement our new model in 3D large strain finite elements and study the distributions of interstitial fluid pressure, fluid pressure load support and shear stress within a cartilage sample under indentation. Results show that the fiber network dramatically increases interstitial fluid pressure and focuses it near the surface. Inhomogeneity in the tissue’s composition also increases fluid pressure and reduces shear stress in the solid. Finally, a biphasic neo-Hookean material model, as is available in commercial finite element codes, does not capture important features of the intra-tissue response, e.g., distributions of interstitial fluid pressure and principal shear stress.     

ECM gene expression correlates with in vitro tissue growth and development in fibrin gel remodeled by neonatal smooth muscle cells.

A tissue growth and development process occurred in neonatal SMC-fibrin gel constructs when cultured in DMEM supplemented with TGF-beta1 and insulin over a 5 week period. These constructs may thus serve as the basis for cardiovascular tissue replacements and future models of cardiovascular tissue growth, repair and regeneration. Following fibrin gel contraction during week 1, peak rates of SMC proliferation, collagen production and tropoelastin production occurred between weeks 1-4. Organized, cross-linked collagen and elastic fibers replaced the degrading fibrin over weeks 3-5 and were manifested as increased mechanical strength. The peak rate of SMC proliferation (weeks 1-2) preceded that for maximum collagen production (weeks 2-4), which was consistent with the 3 week time point of maximum expression of collagen type I and III from qRT-PCR. Insoluble elastin quantification revealed that the majority of elastic fibers were produced by week 4, which was also consistent with the qRT-PCR data showing a dramatic down-regulation of tropoelastin expression by week 4, indicating elastogenesis occurred during the early stages of tissue growth and development. There was a strong up-regulation of lysyl oxidase expression during weeks 1-3 with a peak in expression at week 3, correlating with the phases of collagen and tropoelastin production. An increase in MMP-2 expression over weeks 1-5 suggested an increase in ECM remodeling as the tissue developed. Mechanical strength doubled over weeks 4-5 when production of collagen and elastic fibers and expression of lysyl oxidase were subsiding. This may have been due in part to the more organized collagen fibrils evident from the histological sections in weeks 3-5.     

Cell-specific expression of human HGF by alveolar type II cells induces remodeling of septal wall tissue in the lung: a morphometric study

Hepatocyte growth factor (HGF) is involved in development and regeneration of the lungs. Human HGF, which was expressed specifically by alveolar epithelial type II cells after gene transfer, attenuated the bleomycin-induced pulmonary fibrosis in an animal model. As there are also regions that appear morphologically unaffected in fibrosis, the effects of this gene transfer to normal lungs is of interest. In vitro studies showed that HGF inhibits the formation of the basal lamina by cultured alveolar epithelial cells. Thus we hypothesized that, in the healthy lung, cell-specific expression of HGF induces a remodeling within septal walls. Electroporation of a plasmid of human HGF gene controlled by the surfactant protein C promoter was applied for targeted gene transfer. Using design-based stereology at light and electron microscopic level, structural alterations were analyzed and compared with a control group. HGF gene transfer increased the volume of distal air spaces, as well as the surface area of the alveolar epithelium. The volume of septal walls, as well as the number of alveoli, was unchanged. Volumes per lung of collagen and elastic fibers were unaltered, but a marked reduction of the volume of residual extracellular matrix (all components other than collagen and elastic fibers) and interstitial cells was found. A correlation between the volumes of residual extracellular matrix and distal air spaces, as well as total surface area of alveolar epithelium, could be established. Cell-specific expression of HGF leads to a remodeling of the connective tissue within the septal walls in the healthy lung, which is associated with more pronounced stretching of distal air spaces at a given hydrostatic pressure during instillation fixation.     

A model for mechanics of primary lymphatic valves

Recent experimental evidence indicates that lymphatics have two valve systems, a set of primary valves in the wall of the endothelial cells of initial lymphatics and a secondary valve system in the lumen of the lymphatics. While the intralymphatic secondary valves are well described, no analysis of the primary valves is available. We propose a model for primary lymphatics valves at the junctions between lymphatic endothelial cells. The model consists of two overlapping endothelial extensions at a cell junction in the initial lymphatics. One cell extension is firmly attached to the adjacent connective tissue while the other cell extension is not attached to the interstitial collagen. It is free to bend into the lumen of the lymphatic when the lymphatic pressure falls below the adjacent interstitial fluid pressure. Thereby the cell junction opens a gap permitting entry of interstitial fluid into the lymphatic lumen. When the lymphatic fluid pressure rises above the adjacent interstitial fluid pressure, the endothelial extensions contact each other and the junction is closed preventing fluid reflow into the interstitial space. The model illustrates the mechanics of valve action and provides the first time a rational analysis of the mechanisms underlying fluid collection in the initial lymphatics and lymph transport in the microcirculation.     

A model of unsteady-state transvascular fluid and protein transport in the lung

Models of steady-state fluid and solute transport in the microcirculation are used primarily to characterize filtration and permeability properties of the transport barrier. Important transient relationships, such as the rate of fluid accumulation in the tissue, cannot be predicted with steady-state models. In this paper we present three simple models of unsteady-state fluid and protein exchange between blood plasma and interstitial fluid. The first treats the interstitium as a homogeneous well-mixed compliant compartment, the second includes an interstitial gel, and the third allows for both gel and free fluid in the interstitium. Because we are primarily interested in lung transvascular exchange we used the multiple-pore model and pore sizes described by Harris and Roselli (J. Appl. Physiol.: Respirat . Environ. Exercise Physiol. 50: 1-14, 1981) to characterize the microvascular barrier. However, the unsteady-state transport theory presented here should apply to other organ systems and can be used with different conceptual models of the blood-lymph barrier. For a step increase in microvascular pressure we found good agreement between theoretical and experimental lymph flow and lymph concentrations in the sheep lung when the following parameter ranges were used: base-line interstitial volume, 150-190 ml; interstitial compliance, 7-10 ml/Torr; initial interstitial fluid pressure, -1 Torr; pressure in initial lymphatics, -5 to -6 Torr; and conductivity of the interstitium and lymphatic barrier, 4.25 X 10(-4) ml X s-1 X Torr-1. Based on these values the model predicts 50% of the total change in interstitial water volume occurs in the first 45 min after a step change in microvascular pressure.(ABSTRACT TRUNCATED AT 250 WORDS)     

Multiphoton microscopy observations of 3D elastin and collagen fiber microstructure changes during pressurization in aortic media

Elastin and collagen fibers play important roles in the mechanical properties of aortic media. Because knowledge of local fiber structures is required for detailed analysis of blood vessel wall mechanics, we investigated 3D microstructures of elastin and collagen fibers in thoracic aortas and monitored changes during pressurization. Using multiphoton microscopy, autofluorescence images from elastin and second harmonic generation signals from collagen were acquired in media from rabbit thoracic aortas that were stretched biaxially to restore physiological dimensions. Both elastin and collagen fibers were observed in all longitudinal–circumferential plane images, whereas alternate bright and dark layers were observed along the radial direction and were recognized as elastic laminas (ELs) and smooth muscle-rich layers (SMLs), respectively. Elastin and collagen fibers are mainly oriented in the circumferential direction, and waviness of collagen fibers was significantly higher than that of elastin fibers. Collagen fibers were more undulated in longitudinal than in radial direction, whereas undulation of elastin fibers was equibiaxial. Changes in waviness of collagen fibers during pressurization were then evaluated using 2-dimensional fast Fourier transform in mouse aortas, and indices of waviness of collagen fibers decreased with increases in intraluminal pressure. These indices also showed that collagen fibers in SMLs became straight at lower intraluminal pressures than those in EL, indicating that SMLs stretched more than ELs. These results indicate that deformation of the aorta due to pressurization is complicated because of the heterogeneity of tissue layers and differences in elastic properties of ELs, SMLs, and surrounding collagen and elastin.     

Scanning microscopy of collagen in the basement lamella of normal and regenerating frog tadpoles

The arrangement of collagen fibers over the body surface in the basement lamella of Pseudaeris and Xenopus tadpoles is described. It can be viewed by scanning microscopy after removal of epidermis and basal lamina by trypsin treatment of alcohol fixed tissue. The orthogonal array is modified in regions where fiber direction changes extensively such as the base of the ventral fin or the posterior part of the head. In these regions “exceptional points” in the orthogonal pattern occur, as described by Rosin (1946). The pattern is bilaterally symmetrical. In the region of the nasal opening the orthogonal pattern is replaced by a mat of randomly oriented fibers. In tail regeneration the wound area is marked by aberrant disposition of collagen anteriorly then a mat of randomly disposed fibers followed posteriorly with a sharp transition to the orthogonal pattern of the regenerate. No fiber terminations could be seen in normal or regenerating regions of the lamella.     

Schistosoma mansoni: measurement of Na+ ion activity in the tegument and the extracellular spaces using ion-selective microelectrodes

Ion-selective microelectrodes were used to measure sodium ion activity (aNa) in the tegument and interstitial spaces in adult male Schistosoma mansoni. In RPMI 1640, aNa averaged 31 +/- 13 mM in the tegument, a value significantly less than that in the bathing medium. In the interstitial spaces, it averaged 72 +/- 17 mM, a value nearly the same as that in the bathing medium. In hypo- or hyperosmotic media, aNa in the interstitial spaces varied by a value commensurate with change in aNa in the medium, but aNa in the tegument was changed by only a small amount. Monensin (10 microM), low temperature (20 C), and ouabain (0.3 to 10 microM) all caused significant increases in aNa in the tegument. Hypo- and hyperosmotic media produced initial weight changes followed by gradual recovery back toward original weights. It is concluded that the schistosome is a volume regulating osmoconformer with osmolality of the extracellular fluid approximating that of the bathing medium, but that within the tegument of the parasite, Na+ concentration is controlled by active transport processes.     

Elastic characteristics of the lung perivascular interstitial space

An analysis of the elastic behavior of the lung perivascular interstitial space during interstitial fluid accumulation is presented. Fluid accumulation must deform the lung parenchyma and vascular walls that form the interstitial space boundaries. The deformations of these boundaries are predicted from previously published data on the elastic properties of the boundary materials. The analysis gives the relationships among the elastic properties of the boundaries, the compliance of the interstitium, the lung volume, and the lung elastic recoil pressure. Values of the interstitial compliance are predicted to decrease with increasing lung recoil pressure and are dependent on the lung pressure-volume history. At low recoil pressures over 70% of the interstitial compliance results from deformation of the parenchyma. As the recoil pressure increases, either with increasing lung volume or due to the lung pressure-volume history, the contributions of the parenchymal and vascular wall deformations become similar. The predictions are generally consistent with published data on interstitial compliance obtained from measurements of isolated lung weight gain during vascular fluid transudation. This correlation suggests that the elastic behavior of the interstitial space can be accounted for by the known elastic properties of the boundary materials.     

Neutrophil motility in extracellular matrix gels: mesh size and adhesion affect speed of migration.

Polymorphonuclear leukocyte (PMN) migration through tissue extracellular space is an essential step in the inflammatory response, but little is known about the factors influencing PMN migration through gels of extracellular matrix (ECM). In this study, PMN migration within reconstituted gels containing collagen type I or collagen type I supplemented with laminin, fibronectin, or heparin was measured by quantitative direct visualization, resulting in a random motility coefficient (mum a quantitative index for rate of cell dispersion) for the migrating cell population. The random motility coefficient in unsupplemented collagen (0.4 mg/ml) gels was approximately 9 x 10(-9) cm2/s. Supplementing gels with heparin or fibronectin produced a significant decrease in mu, even at the lowest concentrations studied (1 microgram/ml fibronectin or 0.4 microgram/ml heparin). At least 100 micrograms/ml of laminin, or 20% of the total gel protein, was required to produce a similar decrease in mu. Scanning electron microscopy revealed two different gel morphologies: laminin or fibronectin appeared to coat the 150-nm collagen fibers whereas heparin appeared to induce fiber bundle formation and, therefore, larger interstitial spaces. The decrease in mu observed in heparin-supplemented gels correlated with the increased mesh size of the fiber network, but the difference observed in mu for fibronectin- and laminin-supplemented gels did not correlate with either mesh size or the mechanical properties of the gel, as determined by rheological measurements. However, PMNs adhered to fibronectin-coated surfaces in greater numbers than to collagen- or laminin-coated surfaces, suggesting that changes in cell adhesion to protein fibers can also produce significant changes in cell motility within an ECM gel.     

The fiber system of the choroidocapillaris

In the central choroid of three cynomolgus monkeys (Macaca irus) and a baboon (Papio anubis) the shape of the choroidocapillary sinus is determined by a system of interstitial collagen fibers, the "fiber system of the choroidocapillaris". The inner leaflet of this system is Bruch's membrane. The outer leaflet consists of interwoven collagen bundles, covering the roof of the capillary sinus. Straight bundles of collagen fibers passing through connective tissue columns in the choroidocapillary sinus connect both leaflets. Forces created by changes in the arterial tone in the vascular stroma may be transmitted by the choroidocapillary fiber system to the elastic layer of Bruch's membrane.     

The fine structure of the rabbit sclera with special reference to a peculiar structure in the fibroblast rough surfaced endoplasmic reticulum

Summary In the albino rabbit the sclera is composed of (a) collagen fibrils arranged in fibers, (b) interposed elastic fibers and (c) fibroblasts. The diameter of collagen fibrils and fibers increases from the internal toward the external surface of the sclera. In the same direction the number of elastic fibers and fibroblasts decreases. A peculiar structure is found in the rough surfaced endoplasmic reticulum of the fibroblasts in the innermost portions of the sclera. The nature of this structure is discussed.This investigation was supported by Deutsche Forschungsgemeinschaft Training Grant SP 102/1 and by Research to Prevent Blindness, Inc., 598 Madison Avenue, New York N.Y. 10022.     

Microfibrils: a constitutive component of reticular fibers in the mouse lymph node

Summary Fibrous components other than collagen fibrils in the reticular fiber of mouse lymph node were studied by electron microscopy. Bundles of microfibrils not associated by elastin and single microfibrils dispersed among collagen fibrils were present. The diameter of the microfibrils was 13.29±2.43 nm (n=100). Elastin-associated microfibrils occurred at the periphery of the reticular fiber. Elastin was enclosed by microfibrils, thus forming the elastic fiber, which was clearly demonstrated by tannic acid-uranyl acetate staining. In the reticular fiber of lymph nodes, the elastic fiber consisted of many more microfibrils and a small amount of elastin. These microfibrils, together with the collagen fibrils, may contribut to the various functions of the reticular fibers.     

Cytochemical visualization of anions in collagenous and elastic fiber-associated connective tissue matrix in neonatal and adult rat lungs using iron-containing stains

The cytochemical reactivity of pulmonary connective tissue matrix component in neonatal and adult rat was evaluated using high iron diamine (HID) to detect sulfate ester end groups and dialyzed iron (DI) to detect sulfated and carboxylated end groups of complex carbohydrates, including glycoproteins and glycosaminoglycans at the ultrastructural level. The HID reaction product, in the form of discrete 5-12 nm silver particles following appropriate intensification with thiocarbohydrazide-silver proteinate, was found associated with cell surfaces, the elastin component of elastic fibers, and at regular intervals along the length of collagen fibers in large airways and deep lung interstitium. Staining was similar in adult and neonatal rats, except in areas where connective tissues were presumably still rapidly developing in the neonatal animals. Here large gaps or spaces containing filamentous structures were observed between collagen and elastic fibers. The distribution of DI-reactive sites was similar to that seen with HID with the exception of elastic fibers in which only the microfibrillar portion stained. The collagen-associated reaction was not regularly disposed like that stained with HID, but rather it formed a tight continuous density around the fiber. These results indicated the presence and location of glycoproteins and glycosaminoglycans in connective tissue ground substance regions prior to the full development of elastic and collagenous elements in neonatal pulmonary airways and parenchyma. They also demonstrate cytochemically the presence of a sulfate ester-containing complex sugar found associated with the elastin component of elastic fibers in the lung.     

Animal model of acute pericarditis and its progression to pericardial fibrosis and adhesions: ultrastructural studies

To study the evolution of pericardial inflammation, we have developed a model of pericarditis in sheep by surgically injecting heat-killed staphylococci and Freund's adjuvant into the pericardial cavity under sterile conditions. The pericarditis evolved through the following phases: 1) inflammatory response, 2) mesothelial cell injury and desquamation, and 3) fibrotic phase. At 3-24 hr there was increased microvascular permeability, which resulted in the exudation of fluid, neutrophils, macrophages, and fibrin into the pericardial cavity and the pericardial interstitium. By 72 hr, large numbers of inflammatory cells were aggregated on the mesothelial surfaces and dispersed throughout the pericardial cavity, either as free-floating cells or located between strands of fibrin. At 6 days, fibrinolysis was apparent along the mesothelial surfaces; and newly formed collagen fibrils were deposited throughout the interstitial spaces and among the aggregated cells. These fibrils provided a matrix for the growth of new blood and lymphatic vessels into new connective tissue on both parietal and visceral pericardial surfaces. At 2 weeks, intrapericardial fibrosis had produced focal adhesions between the pericardial surfaces. At 1 month, extensive areas of the pericardial cavity were obliterated. By 9 months, there was a marked reduction in the numbers of cells and blood vessels and increased deposition of collagen and elastic fibers. The intrapericardial injection of heat-killed staphylococci and adjuvant provides a reproducible animal model to study the time course of pericardial inflammation.     

Cardiac lymph: Monitor of myocardial membrane and vascular alterations

Cardiac lymph is a unique fluid which reflects components as they appear in the interstitial spaces of the myocardium. These components result from intravascular or intracellular flux to the interstitial space. The movement of ions and certain larger components is the result of normal flux, but, certain distinct changes in myocardial membrane systems significantly increases the rate of flux during altered physiological states such as ischemia. In addition, some unique enzymes, such as phosphorylase, appear in the cardiac lymph after ischemia. This review will present a synopsis of known elements appearing in cardiac lymph during control states as well as during experimental manipulations of the heart. Additionally, the likely events leading to reversible-state membrane alterations in short-term ischemia will be examined in view of the contribution to cardiac lymph components.     

Multiscale modeling of lymphatic drainage from tissues using homogenization theory

Lymphatic capillary drainage of interstitial fluid under both steady-state and inflammatory conditions is important for tissue fluid balance, cancer metastasis, and immunity. Lymphatic drainage function is critically coupled to the fluid mechanical properties of the interstitium, yet this coupling is poorly understood. Here we sought to effectively model the lymphatic-interstitial fluid coupling and ask why the lymphatic capillary network often appears with roughly a hexagonal architecture. We use homogenization method, which allows tissue-scale lymph flow to be integrated with the microstructural details of the lymphatic capillaries, thus gaining insight into the functionality of lymphatic anatomy. We first describe flow in lymphatic capillaries using the Navier-Stokes equations and flow through the interstitium using Darcy's law. We then use multiscale homogenization to derive macroscale equations describing lymphatic drainage, with the mouse tail skin as a basis. We find that the limiting resistance for fluid drainage is that from the interstitium into the capillaries rather than within the capillaries. We also find that between hexagonal, square, and parallel tube configurations of lymphatic capillary networks, the hexagonal structure is the most efficient architecture for coupled interstitial and capillary fluid transport; that is, it clears the most interstitial fluid for a given network density and baseline interstitial fluid pressure. Thus, using homogenization theory, one can assess how vessel microstructure influences the macroscale fluid drainage by the lymphatics and demonstrate why the hexagonal network of dermal lymphatic capillaries is optimal for interstitial tissue fluid clearance.     

Cytochemical visualization of anions in collagenous and elastic fiber-associated connective tissue matrix in neonatal and adult rat lungs using iron-containing stains

Summary The cytochemical reactivity of pulmonary connective tissue matrix components in neonatal and adult rat was evaluated using high iron diamine (HID) to detect sulfate ester end groups and dialyzed iron (DI) to detect sulfated and carboxylated end groups of complex carbohydrates, including glycoproteins and glycosaminoglycans at the ultrastructural level. The HID reaction product, in the form of discrete 5–12 nm silver particles following appropriate intensification with thiocarbohydrazide-silver proteinate, was found associated with cell surfaces, the elastin component of elastic fibers, and at regular intervals along the length of collagen fibers in large airways and deep lung interstitium. Staining was similar in adult and neonatal rats, except in areas where connective tissues were presumably still rapidly developing in the neonatal animals. Here large gaps or spaces cointaining reactive filamentous structures were observed between collagen and elastic fibers. The distribution of DI-reactive sites was similar to that seen with HID with the exception of elastic fibers in which only the microfibrillar portion stained. The collagen-associated reaction was not regularly disposed like that stained with HID, but rather it formed a tight continuous density around the fiber. These results indicated the presence and location of glycoproteins and glycosaminoglycans in connective tissue ground substance regions prior to the full development of elastic and collagenous elements in neonatal pulmonary airways and parenchyma. They also demonstrate cytochemically the presence of a sulfate ester-containing complex sugar found associated with the elastin component of elastic fibers in the lung.Supported by Public Health Servece Grant HL 24748     

Elastic fiber production in cardiovascular tissue-equivalents.

Elastic fiber incorporation is critical to the success of tissue-engineered arteries and heart valves. Elastic fibers have not yet been observed in tissue-engineered replacements fabricated in vitro with smooth muscle cells. Here, rat smooth muscle cells (SMC) or human dermal fibroblasts (HDF) remodeled collagen or fibrin gels for 4 weeks as the basis for a completely biological cardiovascular tissue replacement. Immunolabeling, alkaline extraction and amino acid analysis identified and quantified elastin. Organized elastic fibers formed when neonatal SMC were cultured in fibrin gel. Fibrillin-1 deposition occurred but elastin was detected in regions without fibrillin-1, indicating that a microfibril template is not required for elastic fiber formation within fibrin. Collagen did not support substantial elastogenesis by SMC. The quantity of crosslinked elastic fibers was enhanced by treatment with TGF-beta1 and insulin, concomitant with increased collagen production. These additives overcame ascorbate's inhibition of elastogenesis in fibrin. The elastic fibers that formed in fibrin treated with TGF-beta1 and insulin contained crosslinks, as evidenced by the presence of desmosine and an altered elastin labeling pattern when beta-aminopropionitrile (BAPN) was added. These findings indicate that in vitro elastogenesis can be achieved in tissue engineering applications, and they suggest a physiologically relevant model system for the study of three-dimensional elastic structures.     

The lymphatic system in body homeostasis: physiological conditions

The lymphatic system is an organized network composed of functionally interrelated lymphoid tissue, and transportation pathways of tissue fluid/lymph and lymphoid cells. Its main components are 1. migrating dendritic cells, macrophages and lymphocytes, organized lymphoid tissue such as lymph nodes, thymus, spleen, bone marrow, and lymphoid tissue in gut and lungs, liver lymphoid cells, and the dendritic cell network of nonlymphoid organs; 2. vessels (intercellular space, lymphatics, and perivascular spaces); 3. fluids (tissue fluid and lymph). The lymphatic system can be divided into the following compartments: peripheral (from the interstitial space to and within the nearest lymph node), and central (efferent lymphatics, cysterna chyli, and thoracic duct, all lymphoid organs). Organs and tissues with the most active afferent arm of the lymphatic system are skin, gut, and lungs. These are the body structures exposed to the external environment. All other nonlymphoid bodily tissues are also percolated by tissue fluid/lymph, and contain a network of dendritic cells and macrophages. Data obtained from normal human subjects on lymph composition and flow are presented. Future trends in lymphatic research are outlined.