The effects of osmotic stress on the viscoelastic and physical properties of articular chondrocytes

A mixture theory analysis for passive transport in osmotic loading of cells

The theory of mixtures is applied to the analysis of the passive response of cells to osmotic loading with neutrally charged solutes. The formulation, which is derived for multiple solute species, incorporates partition coefficients for the solutes in the cytoplasm relative to the external solution, and accounts for cell membrane tension. The mixture formulation provides an explicit dependence of the hydraulic conductivity of the cell membrane on the concentration of permeating solutes. The resulting equations are shown to reduce to the classical equations of Kedem and Katchalsky in the limit when the membrane tension is equal to zero and the solute partition coefficient in the cytoplasm is equal to unity. Numerical simulations demonstrate that the concentration-dependence of the hydraulic conductivity is not negligible; the volume response to osmotic loading is very sensitive to the partition coefficient of the solute in the cytoplasm, which controls the magnitude of cell volume recovery; and the volume response is sensitive to the magnitude of cell membrane tension. Deviations of the Boyle-van't Hoff response from a straight line under hypo-osmotic loading may be indicative of cell membrane tension.

Zonal uniformity in mechanical properties of the chondrocyte pericellular matrix: micropipette aspiration of canine chondrons isolated by cartilage homogenization

The pericellular matrix (PCM) is a region of tissue that surrounds chondrocytes in articular cartilage and together with the enclosed cells is termed the chondron. Previous studies suggest that the mechanical properties of the PCM, relative to those of the chondrocyte and the extracellular matrix (ECM), may significantly influence the stress-strain, physicochemical, and fluid-flow environments of the cell. The aim of this study was to measure the biomechanical properties of the PCM of mechanically isolated chondrons and to test the hypothesis that the Young's modulus of the PCM varies with zone of origin in articular cartilage (surface vs. middle/deep). Chondrons were extracted from articular cartilage of the canine knee using mechanical homogenization, and the elastic properties of the PCM were determined using micropipette aspiration in combination with theoretical models of the chondron as an elastic incompressible half-space, an elastic compressible bilayer, or an elastic compressible shell. The Young's modulus of the PCM was significantly higher than that reported for isolated chondrocytes but over an order of magnitude lower than that of the cartilage ECM. No significant differences were observed in the Young's modulus of the PCM between surface zone (24.0 +/- 8.9 kPa) and middle/deep zone cartilage (23.2 +/- 7.1 kPa). In combination with previous theoretical biomechanical models of the chondron, these findings suggest that the PCM significantly influences the mechanical environment of the chondrocyte in articular cartilage and therefore may play a role in modulating cellular responses to micromechanical factors.

Biomechanics of single zonal chondrocytes

Articular cartilage has a distinct zonal architecture, and previous work has shown that chondrocytes from different zones exhibit variations in gene expression and biosynthesis. In this study, the material properties of single chondrocytes from the superficial and middle/deep zones of bovine distal metatarsal articular cartilage were determined using unconfined compression and digital videocapture. To determine the viscoelastic properties of zonal chondrocytes, unconfined creep compression experiments were performed and the resulting creep curves of individual cells were fit using a standard linear viscoelastic solid model. In the model, a fixed value of the Poisson's ratio was used, determined optically from direct compression of middle/deep chondrocytes. The two approaches used in this study yielded the following average material properties of single chondrocytes: Poisson's ratio of 0.26+/-0.08, instantaneous modulus of 1.06+/-0.82 kPa, relaxed modulus of 0.78+/-0.58 kPa, and apparent viscosity of 4.08+/-7.20 kPa s. Superficial zone chondrocytes were found to be significantly stiffer than middle/deep zone chondrocytes. Attachment time did not affect the stiffness of the cells. The zonal variation in viscoelastic properties may result from the distinct mechanical environments experienced by the cells in vivo. Identifying intrinsic differences in the biomechanics of superficial and middle/deep zone chondrocytes is an important component in understanding how biomechanics influence articular cartilage health and disease.

Determination of the Poisson's ratio of the cell: recovery properties of chondrocytes after release from complete micropipette aspiration

Chondrocytes in articular cartilage are regularly subjected to compression and recovery due to dynamic loading of the joint. Previous studies have investigated the elastic and viscoelastic properties of chondrocytes using micropipette aspiration techniques, but in order to calculate cell properties, these studies have generally assumed that cells are incompressible with a Poisson's ratio of 0.5. The goal of this study was to measure the Poisson's ratio and recovery properties of the chondrocyte by combining theoretical modeling with experimental measures of complete cellular aspiration and release from a micropipette. Chondrocytes isolated from non-osteoarthritic and osteoarthritic cartilage were fully aspirated into a micropipette and allowed to reach mechanical equilibrium. Cells were then extruded from the micropipette and cell volume and morphology were measured throughout the experiment. This experimental procedure was simulated with finite element analysis, modeling the chondrocyte as either a compressible two-mode viscoelastic solid, or as a biphasic viscoelastic material. By fitting the experimental data to the theoretically predicted cell response, the Poisson's ratio and the viscoelastic recovery properties of the cell were determined. The Poisson's ratio of chondrocytes was found to be 0.38 for non-osteoarthritic cartilage and 0.36 for osteoarthritic chondrocytes (no significant difference). Osteoarthritic chondrocytes showed an increased recovery time following full aspiration. In contrast to previous assumptions, these findings suggest that chondrocytes are compressible, consistent with previous studies showing cell volume changes with compression of the extracellular matrix.

Cryopreservation and biophysical properties of articular cartilage chondrocytes

In order to successfully cryopreserve articular cartilage chondrocytes, it is important to characterize their osmotic response during the cryopreservation process, as the ice forms and the solutes concentrate. In this study, experimental work was undertaken to determine the osmotic parameters of articular cartilage chondrocytes. The osmotically inactive volume of articular cartilage chondrocytes was determined to be 44% of the isotonic volume. The membrane hydraulic conductivity parameters for water were determined by fitting a theoretical water transport model to the experimentally obtained volumetric shrinkage data; the membrane hydraulic conductivity parameter L(Pg) was found to be 0.0633 microm/min/atm, and the activation energy E, 8.23 kcal/mol. The simulated cooling process, using the osmotic parameters obtained in this study, suggests a cooling rate of 80 degrees C/min for the cryopreservation of the articular cartilage chondrocytes of hogs. The data obtained in this study could serve as a starting point for those interested in cryopreservation of chondrocytes from articular cartilage in other species in which there is clinical interest and there are no parameters for prediction of responses.

Leishmania donovani amastigotes mobilize organic and inorganic osmolytes during regulatory volume decrease

The protozoan parasite Leishmania donovani encounters large fluctuations in osmolality as it cycles between its insect vector and human host. The flagellated promastigote exhibits regulatory volume responses involving organic and inorganic osmolytes, but little is known about volume regulation in the clinically relevant amastigote that multiplies within the parasitophorous vacuoles of mammalian host cells. Using a combination of morphological, X-ray microanalytical, and biochemical approaches we determined that non-motile amastigotes respond to hypotonic stress with (1) an amino acid and l-alanine-mediated regulatory volume decrease, and (2) a parallel release of Na+, K+, P (presumably as negatively charged phosphates), and subsequently Cl- from cytoplasm and the cell as a whole. In addition P, Zn2+, and subsequently Ca2+ increase in acidocalcisomes as Cl- content declines in this compartment. This evidence is the first to document subcellular translocation of, and thus a potential role for, zinc in volume regulatory responses. These coordinated changes in organic and inorganic osmolytes demonstrate that amastigote subcellular compartments, particularly acidocalcisomes, function in maintaining ionic homeostasis in the response of Leishmania amastigotes to hypo-osmotic stress.

Passive osmotic properties of in situ human articular chondrocytes within non-degenerate and degenerate cartilage

Osteoarthritis is characterized by many factors, including proteoglycan loss, decreased collagen stiffness, and increased cartilage hydration. Chondrocyte swelling also occurs, and correlates with the degree of osteoarthritis, however, the cause is unknown but might be related to alterations to their passive osmotic properties. We have used two-photon confocal laser scanning microscopy to measure the passive osmotic characteristics of in situ chondrocytes within relatively non-degenerate and degenerate human tibial plateau cartilage, and in chondrocytes isolated from relatively non-degenerate cartilage. Explants with bone attached were taken from a total of 42 patients undergoing arthroplasty and graded macroscopically and microscopically into two groups, grade 0 + 1 and grade 2 + 3. There was a significant increase in cartilage hydration between these two groups (P < 0.05), however, there was no change when medium osmolarity was varied over approximately 0-480 mOsm. The passive osmotic behavior of in situ chondrocytes (at 4 degrees C) was identical over a range of culture medium osmolarities ( approximately 0-515 mOsm), however, the maximum swelling of cells within degenerate cartilage and isolated chondrocytes was greater compared to those in non-degenerate cartilage. The swelling in the majority of in situ chondrocytes was accounted for by the reduced interstitial osmolarity occurring with cartilage degeneration. There was, however, a small population of in situ chondrocytes whose volume was in excess (>/=2,500 microm(3)) of that predicted from the decreased interstitial osmotic pressure. These results show that for the majority of cells studied, the differences in passive chondrocyte volume between relatively non-degenerate, degenerate, and isolated cells were entirely accounted for by changes to the extracellular osmolarity (180-515 mOsm).

The biomechanical role of the chondrocyte pericellular matrix in articular cartilage

The pericellular matrix (PCM) is a narrow tissue region that surrounds chondrocytes in articular cartilage. Previous parametric studies of cell-matrix interactions suggest that the mechanical properties of the PCM relative to those of the extracellular matrix (ECM) can significantly affect the micromechanical environment of the chondrocyte. The goal of this study was to use recently quantified mechanical properties of the PCM in a biphasic finite element model of the cell-PCM-ECM structure to determine the potential influence of the PCM on the mechanical environment of the chondrocyte under normal and osteoarthritic conditions. Our findings suggest that the mismatch between the Young's moduli of PCM and ECM amplifies chondrocyte compressive strains and exhibits a significant stress shielding effect in a zone-dependent manner. Furthermore, the lower permeability of PCM relative to the ECM inhibits fluid flux near the cell by a factor of 30, and thus may have a significant effect on convective transport to and from the chondrocyte. Osteoarthritic changes in the PCM and ECM properties significantly altered the mechanical environment of the chondrocyte, leading to approximately 66% higher compressive strains and higher fluid flux near the cell. These findings provide further support for a potential biomechanical role for the chondrocyte PCM, and suggest that changes in the properties of the PCM with osteoarthritis may alter the stress-strain and fluid flow environment of the chondrocytes.

Large Deformation Finite Element Analysis of Micropipette Aspiration to Determine the Mechanical Properties of the Chondrocyte

Chondrocytes, the cells in articular cartilage, exhibit solid-like viscoelastic behavior in response to mechanical stress. In modeling the creep response of these cells during micropipette aspiration, previous studies have attributed the viscoelastic behavior of chondrocytes to either intrinsic viscoelasticity of the cytoplasm or to biphasic effects arising from fluid-solid interactions within the cell. However, the mechanisms responsible for the viscoelastic behavior of chondrocytes are not fully understood and may involve one or both of these phenomena. In this study, the micropipette aspiration experiment was modeled using a large strain finite element simulation that incorporated contact boundary conditions. The cell was modeled using finite strain incompressible and compressible elastic models, a two-mode compressible viscoelastic model, or a biphasic elastic or viscoelastic model. Comparison of the model to the experimentally measured response of chondrocytes to a step increase in aspiration pressure showed that a two-mode compressible viscoelastic formulation accurately captured the creep response of chondrocytes during micropipette aspiration. Similarly, a biphasic two-mode viscoelastic analysis could predict all aspects of the cell's creep response to a step aspiration. In contrast, a biphasic elastic formulation was not capable of predicting the complete creep response, suggesting that the creep response of the chondrocytes under micropipette aspiration is predominantly due to intrinsic viscoelastic phenomena and is not due to the biphasic behavior.

Unconfined creep compression of chondrocytes

The study of single cell mechanics offers a valuable tool for understanding cellular milieus. Specific knowledge of chondrocyte biomechanics could lead to elucidation of disease etiologies and the biomechanical factors most critical to stimulating regenerative processes in articular cartilage. Recent studies in our laboratory have suggested that it may be acceptable to approximate the shape of a single chondrocyte as a disc. This geometry is easily utilized for generating models of unconfined compression. In this study, three continuum mechanics models of increasing complexity were formulated and used to fit unconfined compression creep data. Creep curves were obtained from middle/deep zone chondrocytes (n = 15) and separately fit using the three continuum models. The linear elastic solid model yielded a Young's modulus of 2.55+/-0.85 kPa. The viscoelastic model (adapted from the Kelvin model) generated an instantaneous modulus of 2.47+/-0.85 kPa, a relaxed modulus of 1.48+/-0.35 kPa, and an apparent viscosity of 1.92+/-1.80 kPa-s. Finally, a linear biphasic model produced an aggregate modulus of 2.58+/-0.87 kPa, a permeability of 2.57 x 10(-12)+/-3.09 m(4)/N-s, and a Poisson's ratio of 0.069+/-0.021. The results of this study demonstrate that similar values for the cell modulus can be obtained from three models of increasing complexity. The elastic model provides an easy method for determining the cell modulus, however, the viscoelastic and biphasic models generate additional material properties that are important for characterizing the transient response of compressed chondrocytes.

On the mechanism of cell lysis by deformation

In this study, we identify the extent of deformation that causes cell lysis using a simple technique where a drop of cell suspension is compressed by two flat plates. The viability of human prostatic adenocarcinoma PC-3 cells in solutions of various concentrations of NaCl is determined as a function of the gap size between the plates. The viability declines with decreasing gap size in the following order: 700 mM >150 mM >75 mM NaCl. This is considered to be due to the difference in cell size, which is caused by the osmotic volume change before deformation; cell diameter becomes smaller in a solution of higher NaCl concentration, which appears to increase the survival ratio in a given gap size. The deformation-induced decrease in cell viability is correlated with the cell surface strain, which is dependent on the increase in surface area, irrespective of NaCl concentration. In addition, the treatment of cells with cytochalasin D results in the disappearance of cortical actin filaments and a marked drop in the viability, indicating that cell lysis is closely related to the deformation of the cytoskeleton.

The relationship between cell and tissue strain in three-dimensional bio-artificial tissues

Continuum constitutive laws are needed to ensure that bio-artificial tissue constructs replicate the mechanical response of the tissues they replace, and to understand how the constituents of these constructs contribute to their overall mechanical response. One model designed to achieve both of these aims is the Zahalak model, which was modified by Marquez and co-workers to incorporate inhomogeneous strain fields within very thin tissues. When applied to reinterpret previous measurements, the modified Zahalak model predicted higher values of the continuum stiffness of fibroblasts than earlier estimates. In this work, we further modify the Zahalak model to account for inhomogeneous strain fields in constructs whose cell orientations have a significant out-of-plane component. When applied to reinterpret results from the literature, the new model shows that estimates of continuum cell stiffness might need to be revised upward. As in this article's companion, we updated the average cell strain by defining a correction factor ("strain factor"), based upon the elastic response. Three different cell orientation distributions were studied. We derived an approximate scaling model for the strain factor, and validated it against exact and self-consistent (mean-field) solutions from the literature for dilute cell concentrations, and Monte Carlo simulations involving three-dimensional finite element analyses for high cell concentrations.

“Culture shock” from the bone cell's perspective: emulating physiological conditions for mechanobiological investigations

Bone physiology can be examined on multiple length scales. Results of cell-level studies, typically carried out in vitro, are often extrapolated to attempt to understand tissue and organ physiology. Results of organ- or organism-level studies are often analyzed to deduce the state(s) of the cells within the larger system(s). Although phenomena on all of these scales—cell, tissue, organ, system, organism—are interlinked and contribute to the overall health and function of bone tissue, it is difficult to relate research among these scales. For example, groups of cells in an exogenous, in vitro environment that is well defined by the researcher would not be expected to function similarly to those in a dynamic, endogenous environment, dictated by systemic as well as organismal physiology. This review of the literature on bone cell culture describes potential causes and components of cell “culture shock,” i.e., behavioral variations associated with the transition from in vivo to in vitro environment, focusing on investigations of mechanotransduction and experimental approaches to mimic aspects of bone tissue on a macroscopic scale. The state of the art is reviewed, and new paradigms are suggested to begin bridging the gap between two-dimensional cell cultures in petri dishes and the three-dimensional environment of living bone tissue.

Dynamic osmotic loading of chondrocytes using a novel microfluidic device

Many cells exhibit disparate responses to a mechanical stimulus depending on whether it is applied dynamically or statically. In this context, few studies have examined how cells respond to dynamic changes of the extracellular osmolality. In this study, we hypothesized that the cell size change response of cultured articular chondrocytes would be dependent on the frequency of applied osmotic loading. To test this hypothesis, we developed a novel microfluidic device, to apply hydrostatic pressure-driven dynamic osmotic loading by applying composition modulated flow, adapted from Tang and co-workers. This microfluidic device was used to study osmotic loads of +/-180 mOsm at a frequency up to 0.1 Hz with a constant minimal fluid-shear stress, and permit real-time monitoring of cell responses. Bovine articular chondrocytes were observed to exhibit increasing changes in cell volume with decreasing osmotic loading frequency. When the cell volume response was modeled by an exponential function, chondrocytes exhibited significantly different volume change responses to dynamic osmotic loading at 0.0125 Hz and static osmotic loading applied for a period of four minutes (Delta = +/-180 mOsm relative to the isotonic 360 mOsm). The intracellular calcium response at 0.0125 Hz was also monitored and compared with the response to static loading. Coupled with phenomenological or constitutive models, this novel approach could yield new information regarding cell material properties in response to dynamic loading that may contribute new insights into mechanisms of cellular homeostasis and mechanotransduction.

Aquaporin water channels AQP1 and AQP3, are expressed in equine articular chondrocytes

Chondrocytes exist in an unusual and highly variable ionic and osmotic environment in the extracellular matrix of articular cartilage. Alterations to the ionic and osmotic environment of chondrocytes influence the volume and ionic content of the cells, which, in turn, modifies the rate at which extracellular matrix macromolecules are synthesized and degraded. Thus, regulation of the water and solute content of chondrocytes will profoundly affect their anabolic and catabolic functions. The water content of cells is effectively influenced by the abundance of aquaporin (AQP) water channels. Recent studies have shown that several AQP water channel isoforms are expressed in chondrocytes from Meckel's cartilage, developing teeth and other orofacial tissues. The aim of the present investigation was to determine if chondrocytes from equine articular cartilage express AQP water channels. Polyclonal antibodies to AQP1, AQP2 and AQP3 were used in conjunction with immunohistochemistry, immunoblotting and quantitative flow cytometry to determine if AQP1, AQP2 and AQP3 are expressed in equine articular chondrocytes. Our studies show that AQP1 and AQP3 are expressed by chondrocytes in articular cartilage in situ and in isolated chondrocytes. We found no evidence for expression of AQP2, the vasopressin-regulated water channel in chondrocytes. AQP1 and AQP3 may be involved in the transport of water and small solutes and osmotically active metabolites across the chondrocyte plasma membrane during volume regulatory behaviour. AQP1 may be involved in transporting metabolic water. AQP3 may participate in the transport of glycerol and structurally related molecules.

Water-mediated lysis of lens epithelial cells attached to lens capsule

PURPOSE

To investigate the effect of distilled deionized water (DDW) on lens epithelial cells (LECs) attached to the lens capsule.

SETTING

Wound Healing Research Laboratory, Center for Vision Research, Westmead Hospital, Sydney, NSW, Australia.

METHODS

Anterior capsulotomy specimens taken during routine cataract surgery were divided in half. One half was immersed in DDW and the other half in culture medium (control) for 1 to 5 minutes and photographed at intervals by phase-contrast microscopy. In further experiments, the capsules were exposed to DDW for 1 or 2 minutes and placed in culture for 1 week to determine whether LECs survive treatment and are capable of repopulating the lens capsule.

RESULTS

Distilled-deionized water induced marked swelling of the cytoplasm within 60 seconds of treatment. At 120 seconds, there was disruption of the plasma membranes, with few intact cells remaining. In the control capsules, confluent monolayers of LECs covered the entire capsule surface with a halo of LECs growing on the surrounding plastic well. Viable LECs were observed in 1 of 3 capsules treated for 1 minute with DDW. These did not reach confluence or grow off the capsule onto the surrounding well. No viable LECs were seen on capsules exposed to DDW for 2 minutes.

CONCLUSIONS

Short exposure of LECs to DDW induced extensive and rapid cell lysis. Distilled-deonized water may be a useful agent for instillation in the capsular bag during sealed-capsule irrigation to prevent posterior capsule opacification.

“Whither flows the fluid in bone?” An osteocyte's perspective

Bone represents a porous tissue containing a fluid phase, a solid matrix, and cells. Movement of the fluid phase within the pores or spaces of the solid matrix translates endogenous and exogenous mechanobiological, biochemical and electromechanical signals from the system that is exposed to the dynamic external environment to the cells that have the machinery to remodel the tissue from within. Hence, bone fluid serves as a coupling medium, providing an elegant feedback mechanism for functional adaptation. Until recently relatively little has been known about bone fluid per se or the influences governing the characteristics of its flow. This work is designed to review the current state of this emerging field. The structure of bone, as an environment for fluid flow, is discussed in terms of the properties of the spaces and channel walls through which the fluid flows and the influences on flow under physiological conditions. In particular, the development of the bone cell syncytium and lacunocanalicular system are presented, and pathways for fluid flow are described from the systemic to the organ, tissue, cellular and subcellular levels. Finally, exogenous and endogenous mechanisms for pressure-induced fluid movement through bone, including mechanical loading, vascular derived pressure gradients, and osmotic pressure gradients are discussed. The objective of this review is to survey the current understanding of the means by which fluid flow in bone is regulated, from the level of the skeletal system down to the level of osteocyte, and to provide impetus for future research in this area of signal transduction and coupling. An understanding of this important aspect of bone physiology has profound implications for restoration of function through innovative treatment modalities on Earth and in space, as well as for engineering of biomimetic replacement tissue.

Cell membrane alignment along adhesive surfaces: contribution of active and passive cell processes

Cell adhesion requires nanometer scale membrane alignment to allow contact between adhesion receptors. Little quantitative information is presently available on this important biological process. Here we present an interference reflection microscopic study of the initial interaction between monocytic THP-1 cells and adhesive surfaces, with concomitant determination of cell deformability, using micropipette aspiration, and adhesiveness, using a laminar flow assay. We report that 1), during the first few minutes after contact, cells form irregular-shaped interaction zones reaching approximately 100 micro m(2) with a margin extension velocity of 0.01-0.02 micro m/s. This happens before the overall cell deformations usually defined as spreading. 2), These interference reflection microscopic-detected zones represent bona fide adhesion inasmuch as cells are not released by hydrodynamic forces. 3), Alignment is markedly decreased but not abolished by microfilament blockade with cytochalasin or even cell fixation with paraformaldehyde. 4), In contrast, exposing cells to hypotonic medium increased the rate of contact extension. 5), Contacts formed in presence of cytochalasin, after paraformaldehyde fixation or in hypotonic medium, were much more regular-shaped than controls and their extension matched cell deformability. 6), None of the aforementioned treatments altered adhesiveness to the surface. It is concluded that adhesive forces and passive membrane deformations are sufficient to generate initial cell alignment to adhesive surfaces, and this process is accelerated by spontaneous cytoskeletally-driven membrane motion.

Hyperosmotically induced volume change and calcium signaling in intervertebral disk cells: the role of the actin cytoskeleton

Loading of the spine alters the osmotic environment in the intervertebral disk (IVD) as interstitial water is expressed from the tissue. Cells from the three zones of the IVD, the anulus fibrosus (AF), transition zone (TZ), and nucleus pulposus (NP), respond to osmotic stress with altered biosynthesis through a pathway that may involve calcium (Ca(2+)) as a second messenger. We examined the hypothesis that IVD cells respond to hyperosmotic stress by increasing the concentration of intracellular calcium ([Ca(2+)](i)) through a mechanism involving F-actin. In response to hyperosmotic stress, control cells from all zones decreased in volume and cells from the AF and TZ exhibited [Ca(2+)](i) transients, while cells from the NP did not. Extracellular Ca(2+) was necessary to initiate [Ca(2+)](i) transients. Stabilization of F-actin with phalloidin prevented the Ca(2+) response in AF and TZ cells and decreased the rate of volume change in cells from all zones, coupled with an increase in the elastic moduli and apparent viscosity. Conversely, actin breakdown with cytochalasin D facilitated Ca(2+) signaling while decreasing the elastic moduli and apparent viscosity for NP cells. These results suggest that hyperosmotic stress induces volume change in IVD cells and may initiate [Ca(2+)](i) transients through an actin-dependent mechanism.