A fiber matrix model for interstitial fluid flow and permeability in ligaments and tendons

Chen, Chih Tung; Malkus, David S.; Vanderby, Ray

doi:10.1016/s0006-355x(99)80001-8

Cited by 62 publications

(54 citation statements)

References 22 publications

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“…Following the experimental demonstration of fluid exudation from tendon during cyclic tensile loading (Hannafin and Arnoczky 1994;Lanir et al 1988), computational models have incorporated the effects of permeability and interstitial fluid flow (Adeeb et al 2004;Atkinson et al 1997;Butler et al 1997;Chen et al 1998;Yin and Elliott 2004). To adequately model fluid flow in the current model, the RTT matrix was assumed to be transversely isotropic in the fiber or two-axis direction, with a zero pore pressure enforced on the outer boundary to allow free fluid flow out of the tendon.…”

Section: Transversely Isotropic Matrixmentioning

confidence: 99%

“…However, it has been suggested that permeability is strain (Lai et al 1981;Weiss and Maakestad 2006;Yin and Elliott 2004), porosity (Chen et al 1998) and/or voids ratio (van der Voet 1997) dependent. Higher water content in the peripheral rim compared to the tendon core suggests that the porosity or voids ratio may also be depth dependent within a tendon (Wellen et al 2005).…”

Section: Tendon Permeabilitymentioning

confidence: 99%

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A finite element model predicts the mechanotransduction response of tendon cells to cyclic tensile loading

Lavagnino

Arnoczky

Kepich

et al. 2007

Biomech Model Mechanobiol

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The importance of fluid-flow-induced shear stress and matrix-induced cell deformation in transmitting the global tendon load into a cellular mechanotransduction response is yet to be determined. A multiscale computational tendon model composed of both matrix and fluid phases was created to examine how global tendon loading may affect fluid-flow-induced shear stresses and membrane strains at the cellular level. The model was then used to develop a quantitative experiment to help understand the roles of membrane strains and fluid-induced shear stresses on the biological response of individual cells. The model was able to predict the global response of tendon to applied strain (stress, fluid exudation), as well as the associated cellular response of increased fluid-flow-induced shear stress with strain rate and matrix-induced cell deformation with strain amplitude. The model analysis, combined with the experimental results, demonstrated that both strain rate and strain amplitude are able to independently alter rat interstitial collagenase gene expression through increases in fluid-flow-induced shear stress and matrix-induced cell deformation, respectively.

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Section: Transversely Isotropic Matrixmentioning

confidence: 99%

Section: Tendon Permeabilitymentioning

confidence: 99%

A finite element model predicts the mechanotransduction response of tendon cells to cyclic tensile loading

Lavagnino

Arnoczky

Kepich

et al. 2007

Biomech Model Mechanobiol

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show abstract

“…Experimental and modeling studies have suggested that the movement of water within and in/out of ligament may partially or entirely explain the viscoelastic response of ligaments (Atkinson et al, 1997;Butler et al, 1997;Chen et al, 1998;Chimich et al, 1992;Hannafin and Arnoczky, 1994). Exudation of water from ligament occurs under cyclic loading (Hannafin and Arnoczky, 1994).…”

Section: O O Fmentioning

confidence: 99%

Permeability of human medial collateral ligament in compression transverse to the collagen fiber direction

Weiss

Maakestad

2006

Journal of Biomechanics

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This study quantified the apparent and intrinsic hydraulic permeability of human medial collateral ligament (MCL) under direct permeation transverse to the collagen fiber direction. A custom permeation device was built to apply flow across cylindrical samples of ligament while monitoring the resulting pressure gradient. MCLs from 5 unpaired human knees were used (donor age 55 AE 16 yr; 4 males, 1 female). Permeability measurements were performed at 3 levels of compressive pre-strain (10%, 20% and 30%) and 5 pressures (0.17, 0.34, 1.03, 1.72 and 2.76 MPa). Apparent permeability was determined from Darcy's law, while intrinsic permeability was determined from the zero-pressure crossing of the pressure-permeability curves at each compressive pre-strain. Resulting data were fit to a finite deformation constitutive law [Journal of Biomechanics 23 (1990) 1145-1156. The apparent permeability of human MCL ranged from 0:40 AE 0:05 to 8:60 AE 0:77 Â 10 À16 m 4 =N s depending on pre-strain and pressure gradient. There was a significant decrease in apparent permeability with increasing compressive pre-strain ðp ¼ 0:024Þ and pressure gradient ðpo0:001Þ; and there was a significant interaction between the effects of compressive pre-strain and pressure ðpo0:001Þ: Intrinsic permeability was 14:14 AE 0:74; 6:30 AE 2:13 and 4:29 AE 1:71 Â 10 À16 m 4 =N s for compressive pre-strains of 10%, 20% and 30%, respectively. The intrinsic permeability showed a faster decrease with increasing compressive pre-strain than that of bovine articular cartilage. These data provide a baseline for investigating the effects of disease and chemical modification on the permeability of ligament and the data should also be useful for modeling the poroelastic material behavior of ligaments. r

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“…Post-filtering this reduced to 0-36 mm s 21 , indicating that some noise is present in the signal. A pass band of 2-3 Hz was used as the rocker is rotating at 0.5 Hz, and flow frequencies were expected to be in that range, since no higher frequency instabilities emerge.…”

mentioning

confidence: 99%

See-saw rocking: an in vitro model for mechanotransduction research

Tucker

Henningsson

Franklin

et al. 2014

J. R. Soc. Interface.

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In vitro mechanotransduction studies, uncovering the basic science of the response of cells to mechanical forces, are essential for progress in tissue engineering and its clinical application. Many varying investigations have described a multitude of cell responses; however, as the precise nature and magnitude of the stresses applied are infrequently reported and rarely validated, the experiments are often not comparable, limiting research progress. This paper provides physical and biological validation of a widely available fluid stimulation device, a see-saw rocker, as an in vitro model for cyclic fluid shear stress mechanotransduction. This allows linkage between precisely characterized stimuli and cell monolayer response in a convenient six-well plate format. Models of one well were discretized and analysed extensively using computational fluid dynamics to generate convergent, stable and consistent predictions of the cyclic fluid velocity vectors at a rocking frequency of 0.5 Hz, accounting for the free surface. Validation was provided by comparison with flow velocities measured experimentally using particle image velocimetry. Qualitative flow behaviour was matched and quantitative analysis showed agreement at representative locations and time points. Maximum shear stress of 0.22 Pa was estimated near the well edge, and time-average shear stress ranged between 0.029 and 0.068 Pa. Human tenocytes stimulated using the system showed significant increases in collagen and GAG secretion at 2 and 7 day time points. This in vitro model for mechanotransduction provides a versatile, flexible and inexpensive method for the fluid shear stress impact on biological cells to be studied.

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A fiber matrix model for interstitial fluid flow and permeability in ligaments and tendons

Cited by 62 publications

References 22 publications

A finite element model predicts the mechanotransduction response of tendon cells to cyclic tensile loading

A finite element model predicts the mechanotransduction response of tendon cells to cyclic tensile loading

Permeability of human medial collateral ligament in compression transverse to the collagen fiber direction

See-saw rocking: an in vitro model for mechanotransduction research

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