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

Trickey, Wendy R.; Baaijens, F.P.T.; Laursen, Tod A.; Alexopoulos, Leonidas G.; Guilak, Farshid

doi:10.1016/j.jbiomech.2004.11.006

Cited by 217 publications

(157 citation statements)

References 46 publications

(61 reference statements)

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“…The former include tensegrity [48,49] and percolation models [50], which consider cell mechanics to be dominant by the collective discrete loading bearing element. The latter include linear elastic [51 -53], hyperelastic [54 -56], poroelastic (also known as biphasic model) [57] and viscoelastic models [8,58]. The continuum model may be interpreted as load-bearing elements that are infinitesimally small relative to the size of the cell.…”

Section: Mechanical Modellingmentioning

confidence: 99%

Nanobiomechanics of living cells: a review

Chen

2014

Interface Focus.

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Nanobiomechanics of living cells is very important to understand cellmaterials interactions. This would potentially help to optimize the surface design of the implanted materials and scaffold materials for tissue engineering. The nanoindentation techniques enable quantifying nanobiomechanics of living cells, with flexibility of using indenters of different geometries. However, the data interpretation for nanoindentation of living cells is often difficult. Despite abundant experimental data reported on nanobiomechanics of living cells, there is a lack of comprehensive discussion on testing with different tip geometries, and the associated mechanical models that enable extracting the mechanical properties of living cells. Therefore, this paper discusses the strategy of selecting the right type of indenter tips and the corresponding mechanical models at given test conditions.

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Section: Mechanical Modellingmentioning

confidence: 99%

Nanobiomechanics of living cells: a review

Chen

2014

Interface Focus.

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“…Previous studies have demonstrated the efficacy of mechanical loading on the normal maintenance of articular cartilage in vivo (Palmoski et al, 1979;Setton et al, 1995) and in vitro (Gray et al, 1988;Sah et al, 1989;Sah et al, 1991;Guilak et al, 1994;Valhmu et al, 1998;Buschmann et al, 1999;Wong et al, 1999), indicating that mechanical loading modulates the biosynthetic response of chondrocytes in cartilage explants. In vitro studies of articular cartilage metabolism have demonstrated that static loading as well as loading below a characteristic frequency of 0.001 Hz leads to biosynthetic inhibition, whereas dynamic loading stimulates tissue synthesis (Palmoski and Brandt, 1984;Sah et al, 1989;Guilak et al, 1994;Kim et al, 1994;Guilak et al, 1997).…”

Section: Introductionmentioning

confidence: 95%

“…The cell protoplasm is also modelled as a biphasic matrix, possessing a Young's modulus of E Y = 1kPa and Poisson's ratio v = 0.3 (Trickey et al, 2000;Trickey et al, 2006), and permeability (k) equal to that of the EC matrix. The semi-permeable membrane provided resistance to flow, with a hydraulic conductivity of (Xu et al, 2003), and the modulus of the membrane was taken to be the same as the matrix.…”

Section: Study 2: Finite Element Analysis Of Cell Deformationmentioning

confidence: 99%

In-situ measurements of chondrocyte deformation under transient loading

Chahine¹,

Hung²,

Ga³

2007

eCM

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Chondrocytes are responsible for the elaboration and maintenance of the extracellular (EC) matrix in articular cartilage, and previous studies have demonstrated that mechanical loading modulates the biosynthetic response of chondrocytes in cartilage explants. The goal of this study is to investigate the deformation behaviour of the chondrocyte and its microenvironment under transient loading, in order to address the relationship between the applied dynamic deformation and cellular strain. In situ strain measurements were performed on cells in the middle (MZ) zone at early time points during ramp loading and at equilibrium. In this study, we characterized the behaviour of cartilage at the zonal and cellular levels under compressive loading using digital image analysis on miniature samples tested in a custom microscopy-based loading device. The experimental results indicate that significant strain amplification occurs in the microenvironment of the cell, with the minimum (compressive) principal strain found to be nearly 7X higher in the intracellular region (IC), and ~5X higher in the pericellular (PC) matrix than in the EC matrix at peak ramp. A similar strain amplification mechanism was observed in the maximum (tensile) principal strain, and this behaviour persisted even after equilibrium was reached. The experimental results of this study were interpreted in the context of a finite element model of chondrocyte deformation, which modelled the cell as a homogeneous gel, possessing either a spherical or ellipsoidal geometry, surrounded by a semi permeable membrane, and accounted for the presence of a PC matrix. The results of the FEA demonstrate significant strain amplification mechanism in the IC region, greater than had previously been suggested in earlier computational studies of cell-EC matrix interactions. Based on the FEA, this outcome is understood to result from the large disparity between EC matrix and intracellular properties. The results of this study suggest that mechanotransduction of chondrocytes may be significantly mediated by this strain amplification mechanism during loading.

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“…pressure). The relationship between the stress tensor, σ, and strain, e, for the cell cytoplasm and nucleus was given by isotropic, linear elasticity theory according to: (5) with a Poisson's ratio, υ, of 0.33 50 and Young's moduli, E, of 775 and 1,500 Pa, for the cytoplasm and nucleus, respectively 7 (Table 1) and an applied prestress, σ 0 . The total fluid stress tensor computed from Eq.…”

Section: Finite Element Analysis Of Fluid and Solid Domainsmentioning

confidence: 99%

Finite-Element Stress Analysis of a Multicomponent Model of Sheared and Focally-Adhered Endothelial Cells

et al. 2007

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Hemodynamic forces applied at the apical surface of vascular endothelial cells may be redistributed to and amplified at remote intracellular organelles and protein complexes where they are transduced to biochemical signals. In this study we sought to quantify the effects of cellular material inhomogeneities and discrete attachment points on intracellular stresses resulting from physiological fluid flow. Steady-state shear-and magnetic bead-induced stress, strain, and displacement distributions were determined from finite-element stress analysis of a cell-specific, multicomponent elastic continuum model developed from multimodal fluorescence images of confluent endothelial cell (EC) monolayers and their nuclei. Focal adhesion locations and areas were determined from quantitative total internal reflection fluorescence microscopy and verified using green fluorescence protein-focal adhesion kinase (GFP-FAK). The model predicts that shear stress induces small heterogeneous deformations of the endothelial cell cytoplasm on the order of <100 nm. However, strain and stress were amplified 10-100-fold over apical values in and around the high-modulus nucleus and near focal adhesions (FAs) and stress distributions depended on flow direction. The presence of a 0.4 μm glycocalyx was predicted to increase intracellular stresses by ~2-fold. The model of magnetic bead twisting rheometry also predicted heterogeneous stress, strain, and displacement fields resulting from material heterogeneities and FAs. Thus, large differences in moduli between the nucleus and cytoplasm and the juxtaposition of constrained regions (e.g. FAs) and unattached regions provide two mechanisms of stress amplification in sheared endothelial cells. Such phenomena may play a role in subcellular localization of early mechanotransduction events.

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

Cited by 217 publications

References 46 publications

Nanobiomechanics of living cells: a review

Nanobiomechanics of living cells: a review

In-situ measurements of chondrocyte deformation under transient loading

Finite-Element Stress Analysis of a Multicomponent Model of Sheared and Focally-Adhered Endothelial Cells

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