Biomedical subjects

M D Buschmann

Publications and source records attributed to M D Buschmann.

At least 37 records · Page 2Linked to original sources

PubMed2000

Novel injectable neutral solutions of chitosan form biodegradable gels in situ.

A novel approach to provide, thermally sensitive neutral solutions based on chitosan/polyol salt combinations is described. These formulations possess a physiological pH and can be held liquid below room temperature for encapsulating living cells and therapeutic proteins; they form monolithic gels at body temperature. When injected in vivo the liquid formulations turn into gel implants in situ. This system was used successfully to deliver biologically active growth factors in vivo as well as an encapsulating matrix for living chondrocytes for tissue engineering applications. This study reports for the first time the use of polymer/polyol salt aqueous solutions as gelling systems, suggesting the discovery of a prototype for a new family of thermosetting gels highly compatible with biological compounds.

Animals↗

PubMed2000

Unconfined compression of articular cartilage: nonlinear behavior and comparison with a fibril-reinforced biphasic model.

Mechanical behavior of articular cartilage was characterized in unconfined compression to delineate regimes of linear and nonlinear behavior, to investigate the ability of a fibril-reinforced biphasic model to describe measurements, and to test the prediction of biphasic and poroelastic models that tissue dimensions alter tissue stiffness through a specific scaling law for time and frequency. Disks of full-thickness adult articular cartilage from bovine humeral heads were subjected to successive applications of small-amplitude ramp compressions cumulating to a 10 percent compression offset where a series of sinusoidal and ramp compression and ramp release displacements were superposed. We found all equilibrium behavior (up to 10 percent axial compression offset) to be linear, while most nonequilibrium behavior was nonlinear, with the exception of small-amplitude ramp compressions applied from the same compression offset. Observed nonlinear behavior included compression-offset-dependent stiffening of the transient response to ramp compression, nonlinear maintenance of compressive stress during release from a prescribed offset, and a nonlinear reduction in dynamic stiffness with increasing amplitudes of sinusoidal compression. The fibril-reinforced biphasic model was able to describe stress relaxation response to ramp compression, including the high ratio of peak to equilibrium load. However, compression offset-dependent stiffening appeared to suggest strain-dependent parameters involving strain-dependent fibril network stiffness and strain-dependent hydraulic permeability. Finally, testing of disks of different diameters and rescaling of the frequency according to the rule prescribed by current biphasic and poroelastic models (rescaling with respect to the sample's radius squared) reasonably confirmed the validity of that scaling rule. The overall results of this study support several aspects of current theoretical models of articular cartilage mechanical behavior, motivate further experimental characterization, and suggest the inclusion of specific nonlinear behaviors to models.

Animals↗

PubMed2000

Ruthenium hexaammine trichloride chemography for aggrecan mapping in cartilage is a sensitive indicator of matrix degradation.

We developed a new quantitative histochemical method for mapping aggrecan content in articular cartilage and applied it to models of cartilage degradation. Ruthenium hexaammine trichloride (RHT) forms co-precipitates with aggrecan, the main proteoglycan component of cartilage, and was previously found to be a good fixative in aiding the maintenance of chondrocyte morphology. We show that these RHT-aggrecan precipitates generate a positive chemographic signal on autoradiographic emulsions, in the absence of any radioactivity in the tissue section, via a process similar to the autometallographic process used previously for localization of trace metals ions in tissues. By exploiting the inherent depth-dependence of aggrecan concentration in adult articular cartilage, we demonstrated that the density of silver grains produced by RHT-derived chemography on autoradiographic emulsions correlated with locally measured aggrecan concentration as determined by the dimethylmethylene blue assay of microdissected tissue from these different depths of cartilage. To explore the benefits of this new method in monitoring tissue degradation, cartilage explants were degraded during culture using interleukin-1 (IL-1) or digested after culture using chondroitinase and keratinase. The RHT chemographic signal derived from these samples, compared to controls, showed sensitivity to loss of aggrecan and distinguished cell-mediated loss (IL-1) from degradation due to addition of exogenous enzymes. The RHT-derived chemographic grain density represents an interesting new quantitative tool for histological analysis of cartilage in physiology and in arthritis.

Aggrecans↗

PubMed2000

The chondrocyte cytoskeleton in mature articular cartilage: structure and distribution of actin, tubulin, and vimentin filaments.

We investigated the structure of the chondrocyte cytoskeleton in intact tissue sections of mature bovine articular cartilage using confocal fluorescence microscopy complemented by protein extraction and immunoblotting analysis. Actin microfilaments were present inside the cell membrane as a predominantly cortical structure. Vimentin and tubulin spanned the cytoplasm from cell to nuclear membrane, the vimentin network appearing finer compared to tubulin. These cytoskeletal structures were present in chondrocytes from all depth zones of the articular cartilage. However, staining intensity varied from zone to zone, usually showing more intense staining for the filament systems at the articular surface compared to the deeper zones. These results obtained on fluorescently labeled sections were also corroborated by protein contents extracted and observed by immunoblotting. The observed cytoskeletal structures are compatible with some of the proposed cellular functions of these systems and support possible microenvironmental regulation of the cytoskeleton, including that due to physical forces from load-bearing, which are known to vary through the depth layers of articular cartilage.

Actins↗

PubMed1999

Stimulation of aggrecan synthesis in cartilage explants by cyclic loading is localized to regions of high interstitial fluid flow.

Chondrogenesis in cartilage development and repair and cartilage degeneration in arthritis can be regulated by mechanical-load-induced physical factors such as tissue deformation, interstitial fluid flow and pressure, and electrical fields or streaming potentials. Previous animal and tissue explant studies have shown that time-varying dynamic tissue loading can increase the synthesis and deposition of matrix molecules in an amplitude-, frequency-, and spatially dependent manner. To provide information on the cell-level physical factors which may stimulate chondrocytes to increase production and export of aggrecan, the main proteoglycan component of the cartilage matrix, we characterized local changes in aggrecan synthesis within cyclically loaded tissue explant disks and compared those changes to values of predicted local physical factors. Aggrecan synthesis following a 23-h compression/radiolabel protocol was measured with a spatial resolution of approximately 0.1 mm across the 1.5-mm radius of explanted disks using a quantitative autoradiography method. A uniform stimulation of aggrecan synthesis was observed at an intermediate frequency of 0.01 Hz, while, at a higher frequency of 0.1 Hz, stimulation was only seen at peripheral radial positions. Profiles of radial solid matrix deformation and interstitial fluid pressure and velocity predicted to be occurring across the radius of the disk during sinusoidal loading were estimated using a composite poroelastic model. Tissue regions experiencing high interstitial fluid velocities corresponded to those displaying increased aggrecan synthesis. These results reinforce the role of load-induced flow of interstitial fluid in the stimulation of aggrecan production during dynamic loading of cartilage.

Aggrecans↗

PubMed1999

Nonlinear analysis of cartilage in unconfined ramp compression using a fibril reinforced poroelastic model.

OBJECTIVE: To develop a biomechanical model for cartilage which is capable of capturing experimentally observed nonlinear behaviours of cartilage and to investigate effects of collagen fibril reinforcement in cartilage. DESIGN: A sequence of 10 or 20 steps of ramp compression/relaxation applied to cartilage disks in uniaxial unconfined geometry is simulated for comparison with experimental data. BACKGROUND: Mechanical behaviours of cartilage, such as the compression-offset dependent stiffening of the transient response and the strong relaxation component, have been previously difficult to describe using the biphasic model in unconfined compression. METHODS: Cartilage is modelled as a fluid-saturated solid reinforced by an elastic fibrillar network. The latter, mainly representing collagen fibrils, is considered as a distinct constituent embedded in a biphasic component made up mainly of proteoglycan macromolecules and a fluid carrying mobile ions. The Young's modulus of the fibrillar network is taken to vary linearly with its tensile strain but to be zero for compression. Numerical computations are carried out using a finite element procedure, for which the fibrillar network is discretized into a system of spring elements. RESULTS: The nonlinear fibril reinforced poroelastic model is capable of describing the strong relaxation behaviour and compression-offset dependent stiffening of cartilage in unconfined compression. Computational results are also presented to demonstrate unique features of the model, e.g. the matrix stress in the radial direction is changed from tensile to compressive due to presence of distinct fibrils in the model. RELEVANCE: Experimentally observed nonlinear behaviours of cartilage are successfully simulated, and the roles of collagen fibrils are distinguished by using the proposed model. Thus this study may lead to a better understanding of physiological responses of individual constituents of cartilage to external loads, and of the roles of mechanical loading in cartilage remodelling and pathology.

Biomechanical Phenomena↗

PubMed1999

A fibril-network-reinforced biphasic model of cartilage in unconfined compression.

Cartilage mechanical function relies on a composite structure of a collagen fibrillar network entrapping a proteoglycan matrix. Previous biphasic or poroelastic models of this tissue, which have approximated its composite structure using a homogeneous solid phase, have experienced difficulties in describing measured material responses. Progress to date in resolving these difficulties has demonstrated that a constitutive low that is successful for one test geometry (confined compression) is not necessarily successful for another (unconfined compression). In this study, we hypothesize that an alternative fibril-reinforced composite biphasic representation of cartilage can predict measured material responses and explore this hypothesis by developing and solving analytically a fibril-reinforced biphasic model for the case of uniaxial unconfined compression with frictionless compressing platens. The fibrils were considered to provide stiffness in tension only. The lateral stiffening provided by the fibril network dramatically increased the frequency dependence of disk rigidity in dynamic sinusoidal compression and the magnitude of the stress relaxation transient, in qualitative agreement with previously published data. Fitting newly obtained experimental stress relaxation data to the composite model allowed extraction of mechanical parameters from these tests, such as the rigidity of the fibril network, in addition to the elastic constants and the hydraulic permeability of the remaining matrix. Model calculations further highlight a potentially important difference between homogeneous and fibril-reinforced composite models. In the latter type of model, the stresses carried by different constituents can be dissimilar, even in sign (compression versus tension) even though strains can be identical. Such behavior, resulting only from a structurally physiological description, could have consequences in the efforts to understand the mechanical signals that determine cellular and extracellular biological responses to mechanical loads in cartilage.

Animals↗

PubMed1999

Mature full-thickness articular cartilage explants attached to bone are physiologically stable over long-term culture in serum-free media.

Mature tissue explants containing the entire depth of articular cartilage, calcified and uncalcified, attached to a thin layer of subchondral bone were isolated from bovine humeral heads of 1-2-year-old steers. These explants were placed in defined serum-free culture medium for a period of 3 weeks to investigate their biological and mechanical stability and thus to determine their potential utility in studies of cartilage physiology. Tissue mass remained constant over the culture period and no evident tissue swelling or distortion was observed. Chondrocytes were viable in all zones at the time of tissue isolation and throughout the culture period, with the exception of a thin layer of cells at the articular surface and the cut radial edge of the disks. Proteoglycan metabolism attained a steady state after 5 days of culture when the rate of loss of proteoglycan to culture media was compensated by new synthesis to maintain a stable proteoglycan content. Collagen metabolism was also stable with a constant content of type II collagen and a constant content of denatured collagen II throughout culture; the content of the C-propeptide of type II procollagen as a measure of procollagen synthesis, dropped slightly during the first week to attain a steady state after that time. Dynamic and equilibrium mechanical properties of these explant disks were also stable confirming maintenance of these tissue properties during long-term culture. In addition, the disk geometry of the system, with the cut surface in the bone parallel to the intact articular surface, is well-suited to study tissue regulation by mechanical load. Taken together, the stability of these indicators of tissue physiology indicates the maintenance in serum-free conditions of normal metabolism for organ cultures containing full-depth mature articular cartilage attached to bone.

Animals↗

PubMed1998

Confined compression of articular cartilage: linearity in ramp and sinusoidal tests and the importance of interdigitation and incomplete confinement.

Experimental and theoretical methods were used to investigate the linearity of the stress response of articular cartilage to ramp and sinusoidal tests in confined compression, as well as the role of cartilage-porous platen and lateral confinement boundary conditions in determining material responses. With respect to linearity, we posed the question as to whether the elicited stress responses to ramp compression, ramp release and sinusoidal tests were similar. With respect to boundary conditions we inquired as to the necessity of specifying a detailed interdigitating contact with the porous filter and of specifying the level of confinement present at the lateral edge of the disk. We found that the stress responses to the three types of tests were dissimilar, with ramp compression the only test exhibiting linear behavior. Ramp release from a static compression offset was non-linear in a manner such that the cartilage maintained a compressive stress higher than expected by a linear theory. Sinusoidal compression also displayed a non-linear response consistent with the presence of a release phase in each cycle. The actual boundary conditions present at the cartilage/porous-filter interface were visualized histologically. Areas (tens of microns) of cartilage in contact with the metal of the filter were interspersed with areas expanded into the pores of the filter. Finite-element analysis incorporating this information suggested that precise specification of this interface and of the level of the extent of lateral confinement would be necessary for the estimation of material properties, such as the hydraulic permeability, from these tests. The trends of the linearity studies did not appear to be significantly affected by the problems posed by these difficult to quantitate boundary conditions. The non-linear cartilage response to release and sinusoidal displacements therefore appear to be physiologically interesting. The maintained, that is higher than would be linear, compressive stress observed during release may be a beneficial adaptation to repeated loading where temporal variations in tissue stresses would be minimized.

Animals↗

PubMed1998

Mechanical compression alters proteoglycan deposition and matrix deformation around individual cells in cartilage explants.

We have used new techniques of cell-length scale quantitative autoradiography to assess matrix synthesis, deposition, and deformation around individual chondrocytes in mechanically compressed cartilage explants. Our objectives were to: (1) quantify the effects of static and dynamic compression on the deposition of newly synthesized proteoglycans into cell-associated and further-removed matrices; (2) measure cell-length scale matrix strains and morphological changes of the cell and matrix associated with tissue compression; and (3) relate microscopic physical stimuli to changes in proteoglycan synthesis as functions of compression level and position within mechanically compressed explants. Results indicate a high degree of structural organization in the extracellular matrix, with the pericellular matrix associated with the most rapid rates of proteoglycan deposition, and greatest sensitivity to mechanical compression. Static compression could stimulate directional deposition of secreted proteoglycans around chondrocytes, superimposed on an inhibition of proteoglycan synthesis; these events followed trends for compressive strain in the cell-associated matrix. Conversely, proteoglycan synthesis and pericellular deposition was stimulated by dynamic compression. Results suggest that cell-matrix interactions in the cell-associated matrix may be a particularly important aspect of the chondrocyte response to mechanical compression, possibly involving macromolecular transport limitations and morphological changes associated with fluid flow and local compaction of the matrix around cells.

Animals↗

PubMed1997

Chondrocyte biosynthesis correlates with local tissue strain in statically compressed adult articular cartilage.

In this study, we investigated the depth-dependent metabolic and structural responses of adult articular cartilage to large-strain, static, unconfined compression. Changes in cell biosynthetic activity and several morphometry-based structural parameters (cell density, cell volume fraction, cell surface-area density, mean cell surface area, and mean cell volume) were measured at eight sites representing different depth-zones between the articular surface and the cartilage/bone border. In addition, local axial strain in the superficial, transitional, upper radial, and lower radial zones was estimated on the basis of the change in cell density values. Static compression of articular cartilage revealed a highly heterogeneous deformation profile through the depth of the sample as well as zone-specific changes in biosynthetic activity, as reflected by incorporation of [3H]proline. The axial strains in the top layers were greater than the applied surface-to-surface strain, whereas axial strains adjacent to the cartilage/bone border were significantly less than the applied strain. Zonal changes in cell density and axial strain that occurred during static compression correlated well with alterations in metabolic activity. These coordinated changes between cell biosynthesis and cartilage structure suggest that zone-specific variations in mechanical stimuli could be responsible for spatially varied patterns of cartilage metabolic activity under load.

Animals↗

PubMed1997

Numerical conversion of transient to harmonic response functions for linear viscoelastic materials.

Viscoelastic material behavior is often characterized using one of the three measurements: creep, stress-relaxation or dynamic sinusoidal tests. A two-stage numerical method was developed to allow representation of data from creep and stress-relaxation tests on the Fourier axis in the Laplace domain. The method assumes linear behavior and is theoretically applicable to any transient test which attains an equilibrium state. The first stage numerically resolves the Laplace integral to convert temporal stress and strain data, from creep or stress-relaxation, to the stiffness function, G(s), evaluated on the positive real axis in the Laplace domain. This numerical integration alone allows the direct comparison of data from transient experiments which attain a final equilibrium state, such as creep and stress relaxation, and allows such data to be fitted to models expressed in the Laplace domain. The second stage of this numerical procedure maps the stiffness function, G(s), from the positive real axis to the positive imaginary axis to reveal the harmonic response function, or dynamic stiffness, G(j omega). The mapping for each angular frequency, s, is accomplished by fitting a polynomial to a subset of G(s) centered around a particular value of s, substituting js for s and thereby evaluating G(j omega). This two-stage transformation circumvents previous numerical difficulties associated with obtaining Fourier transforms of the stress and strain time domain signals. The accuracy of these transforms is verified using model functions from poroelasticity, corresponding to uniaxial confined compression of an isotropic material and uniaxial unconfined compression of a transversely isotropic material. The addition of noise to the model data does not significantly deteriorate the transformed results and data points need not be equally spaced in time. To exemplify its potential utility, this two-stage transform is applied to experimental stress relaxation data to obtain the dynamic stiffness which is then compared to direct measurements of dynamic stiffness using steady-state sinusoidal tests of the same cartilage disk in confined compression. In addition to allowing calculation of the dynamic stiffness from transient tests and the direct comparison of experimental data from different tests, these numerical methods should aid in the experimental analysis of linear and nonlinear material behavior, and increase the speed of curve-fitting routines by fitting creep or stress relaxation data to models expressed in the Laplace domain.

Algorithms↗

PubMed1997

Optical and mechanical determination of Poisson's ratio of adult bovine humeral articular cartilage.

The equilibrium stiffness of articular cartilage is controlled by flow-independent elastic properties (Young's modulus, ES, and Poisson's ratio, v(s)) of the hydrated tissue matrix. In the current study, an optical (microscopic) method has been developed for the visualization of boundaries of cylindrical bovine humeral head articular cartilage disks (n = 9), immersed in physiological solution, and compressed in unconfined geometry. This method allowed a direct, model-independent estimation of Poisson's ratio of the tissue at equilibrium, as well as characterization of the shape changes of the sample during the nonequilibrium dynamic phase. In addition to optical analyses, the equilibrium behavior of cartilage disks in unconfined and confined ramp-stress relaxation tests provided a direct estimation of the aggregate modulus, H(a) and Young's modulus and, indirectly, Poisson's ratio for the articular cartilage. The mean value for Poisson's ratio obtained from the optical analysis was 0.185 +/- 0.065 (mean +/- S.D., n = 9). Values of elastic parameters obtained from the mechanical tests were 0.754 +/- 0.198 MPa, 0.677 +/- 0.223 MPa, and 0.174 +/- 0.106 for H(a), ES, and v(s), respectively (mean +/- S.D., n = 7). The similar v(s)-values obtained with optical and mechanical techniques imply that, at equilibrium for these two tests, the isotropic model is acceptable for mechanical analysis. However, the microscopic technique revealed that the lateral expansion, especially during the initial phase of relaxation, was inhomogeneous through the tissue depth. The superficial cartilage zone expanded less than the radial zone. The zonal differences in expansion were attributed to the known zonal differences in the fibrillar collagen architecture and proteoglycan concentration.

Analysis of Variance↗

PubMed1996

A method of quantitative autoradiography for the spatial localization of proteoglycan synthesis rates in cartilage.

Incorporation of [35S]-sulfate into cartilage tissue indicates the synthesis of aggrecan, the large aggregating proteoglycan (PG) that endows cartilage with resistance to compression. Scintillation counting of tissue digests provides a quantitative measure of incorporated sulfate but does not provide information on the spatial location of synthesis within the tissue. Such spatially specific information is necessary to determine which cell populations respond to diffusible factors and to correlate local mechanical events (e.g., deformation, interstitial fluid stress) to cellular biosynthetic responses. The aim of this study was to develop and characterize a liquid emulsion autoradiography technique, including an automated grain counting procedure, to derive spatial profiles of aggrecan synthesis rates in cartilage. We chose mature 10-14-month-old bovine humeral head articular cartilage as a model system and applied a liquid emulsion autoradiography technique to [35S]-sulfate-labeled, resin-embedded, and semithin-sectioned tissue explants. High-magnification light microscopy color images were captured on a computer. Automated image analysis for grain number determination included a color thresholding procedure to discriminate grains from the lightly stained structural image and computation of the average area of a single grain from each image. Determination of grain number, whether originating from single grains or grain clusters, was performed by dividing the total grain area in the image by the average area of a single grain in the same image. This procedure largely eliminated the effects of variations of microscope light intensity, camera performance, image focus, section stain intensity, and thresholding on the resulting grain numbers. By altering the specific activity of the medium radiolabel and the emulsion exposure times, we demonstrated a linear dose dependence, without saturation, of grain number on radioactive content in the underlying section. By cutting specimens in half and performing liquid scintillation counting on one half and autoradiography on the other half, we found that each disintegration occurring in the section during exposure resulted in 0.67 +/- 0.21 grains (mean +/- SD; n = 58). Therefore, counted grain numbers can be directly converted to incorporated sulfate, largely reflecting the synthesis of the PG aggrecan. As an example of calculated intratissue profiles of aggrecan synthesis rates, we found for the mature bovine tissue in serum-free medium that aggrecan synthesis increases monotonically from the articular surface to the radial zone by as much as tenfold.

Animals↗

PubMed1996

Altered aggrecan synthesis correlates with cell and nucleus structure in statically compressed cartilage.

Previous studies have shown that static equilibrium compression of cartilage tissue in vivo and in vitro decreases chondrocyte synthesis of aggrecan molecules. In order to identify mechanisms of cellular response to loading, we have investigated alterations in cell and nucleus structure and the accompanying changes in the synthesis of aggrecan in statically compressed cartilage explants. Using glutaraldehyde fixation and quantitative autoradiography of compressed and radiolabeled cartilage disks we spatially localized newly synthesized aggrecan. Using stereological tools to analyze these same specimens we estimated the cell and nucleus volume, surface area and directional radii. We found that aggrecan synthesis was reduced overall in compressed tissue disks. However, the compression induced a spatial (radial) inhomogeneity in aggrecan synthesis which was not present in uncompressed disks. This spatial inhomogeneity appeared to be directly related to mechanical boundary conditions and the manner in which the load was applied and, therefore, may represent a spatially specific functional adaptation to mechanical loading. Coincident with reduced aggrecan synthesis, we observed reductions in cell and nucleus volume and radii in the direction of compression which were in approximate proportion to the reduction in tissue thickness. Cell and nucleus dimensions perpendicular to the direction of compression did not change significantly. Therefore the observed deformation of the cell and nucleus in statically compressed cartilage approximately followed the dimensional changes imposed on external specimen surfaces. The strong correlation observed between local changes in aggrecan synthesis and alterations in cell and nucleus structure also lend support to certain hypotheses regarding the intracellular signal transduction pathways that may be important in the biosynthetic response of chondrocytes to mechanical loading.

Aggrecans↗

PubMed1995

Vitrification of articular cartilage by high-pressure freezing.

For more than 20 years, high-pressure freezing has been used to cryofix bulk biological specimens and reports are available in which the potential and limits of this method have been evaluated mostly based on morphological criteria. By evaluating the presence or absence of segregation patterns, it was postulated that biological samples of up to 600 microns in thickness could be vitrified by high-pressure freezing. The cooling rates necessary to achieve this result under high-pressure conditions were estimated to be of the order of several hundred degrees kelvin per second. Recent results suggest that the thickness of biological samples which can be vitrified may be much less than previously believed. It was the aim of this study to explore the potential and limits of high-pressure freezing using theoretical and experimental methods. A new high-pressure freezing apparatus (Leica EM HPF), which can generate higher cooling rates at the sample surface than previously possible, was used. Using bovine articular cartilage as a model tissue system, we were able to vitrify 150-micron-thick tissue samples. Vitrification was proven by subjecting frozen-hydrated cryosections to electron diffraction analysis and was found to be dependent on the proteoglycan concentration and water content of the cartilage. Only the lower radical zone (with a high proteoglycan concentration and a low water content compared to the other zones) could be fully vitrified. Our theoretical calculations indicated that applied surface cooling rates in excess of 5000 K/s can be propagated into specimen centres only if samples are relatively thin (< 200 microns). These calculations, taken together with our zone-dependent attainment of vitrification in 150-micron-thick cartilage samples, suggest that the critical cooling rates necessary to achieve vitrification of biological samples under high-pressure freezing conditions are significantly their (1000-100,000 K/s) than previously proposed, but are reduced by about a factor of 100 when compared to cooling rates necessary to vitrify biological samples at ambient pressure.

Animals↗

PubMed1995

A molecular model of proteoglycan-associated electrostatic forces in cartilage mechanics.

Measured values of the swelling pressure of charged proteoglycans (PG) in solution (Williams RPW, and Comper WD; Biophysical Chemistry 36:223, 1990) and the ionic strength dependence of the equilibrium modulus of PG-rich articular cartilage (Eisenberg SR, and Grodzinsky AJ; J Orthop Res 3: 148, 1985) are compared to the predictions of two models. Each model is a representation of electrostatic forces arising from charge present on spatially fixed macromolecules and spatially mobile micro-ions. The first is a macroscopic continuum model based on Donnan equilibrium that includes no molecular-level structure and assumes that the electrical potential is spatially invariant within the polyelectrolyte medium (i.e. zero electric field). The second model is based on a microstructural, molecular-level solution of the Poisson-Boltzmann (PB) equation within a unit cell containing a charged glycosaminoglycan (GAG) molecule and its surrounding atmosphere of mobile ions. This latter approach accounts for the space-varying electrical potential and electrical field between the GAG constituents of the PG. In computations involving no adjustable parameters, the PB-cell model agrees with the measured pressure of PG solutions to within experimental error (10%), whereas the ideal Donnan model overestimates the pressure by up to 3-fold. In computations involving one adjustable parameter for each model, the PB-cell model predicts the ionic strength dependence of the equilibrium modulus of articular cartilage. Near physiological ionic strength, the Donnan model overpredicts the modulus data by 2-fold, but the two models coincide for low ionic strengths (C0 < 0.025M) where the spatially invariant Donnan potential is a closer approximation to the PB potential distribution. The PB-cell model result indicates that electrostatic forces between adjacent GAGs predominate in determining the swelling pressure of PG in the concentration range found in articular cartilage (20-80 mg/ml). The PB-cell model is also consistent with data (Eisenberg and Grodzinsky, 1985, Lai WM, Hou JS, and Mow VC; J Biomech Eng 113: 245, 1991) showing that these electrostatic forces account for approximately 1/2 (290kPa) the equilibrium modulus of cartilage at physiological ionic strength while absolute swelling pressures may be as low as approximately 25-100kPa. This important property of electrostatic repulsion between GAGs that are highly charged but spaced a few Debye lengths apart allows cartilage to resist compression (high modulus) without generating excessive intratissue swelling pressures.

Animals↗

PubMed1995

Mechanical compression modulates matrix biosynthesis in chondrocyte/agarose culture.

This study focuses on the effect of static and dynamic mechanical compression on the biosynthetic activity of chondrocytes cultured within agarose gel. Chondrocyte/agarose disks (3 mm diameter) were placed between impermeable platens and subjected to uniaxial unconfined compression at various times in culture (2-43 days). [35S]sulfate and [3H]proline radiolabel incorporation were used as measures of proteoglycan and protein synthesis, respectively. Graded levels of static compression (up to 50%) produced little or no change in biosynthesis at very early times, but resulted in significant decreases in synthesis with increasing compression amplitude at later times in culture; the latter observation was qualitatively similar to that seen in intact cartilage explants. Dynamic compression of approximately 3% dynamic strain amplitude (approximately equal to 30 microns displacement amplitude) at 0.01-1.0 Hz, superimposed on a static offset compression, stimulated radiolabel incorporation by an amount that increased with time in culture prior to loading as more matrix was deposited around and near the cells. This stimulation was also similar to that observed in cartilage explants. The presence of greater matrix content at later times in culture also created differences in biosynthetic response at the center versus near the periphery of the 3 mm chondrocyte/agarose disks. The fact that chondrocyte response to static compression was significantly affected by the presence or absence of matrix, as were the physical properties of the disks, suggested that cell-matrix interactions (e.g. mechanical and/or receptor mediated) and extracellular physicochemical effects (increased [Na+], reduced pH) may be more important than matrix-independent cell deformation and transport limitations in determining the biosynthetic response to static compression. For dynamic compression, fluid flow, streaming potentials, and cell-matrix interactions appeared to be more significant as stimuli than the small increase in fluid pressure, altered molecular transport, and matrix-independent cell deformation. The qualitative similarity in the biosynthetic response to mechanical compression of chondrocytes cultured in agarose gel and chondrocytes in intact cartilage further indicates that gel culture preserves certain physiological features of chondrocyte behavior and can be used to investigate chondrocyte response to physical and chemical stimuli in a controlled manner.

Animals↗