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Finite Element Modeling Predictions of Region-specific Cell-matrix Mechanics in the Meniscus

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Abstract

The knee meniscus exhibits significant spatial variations in biochemical composition and cell morphology that reflect distinct phenotypes of cells located in the radial inner and outer regions. Associated with these cell phenotypes is a spatially heterogeneous microstructure and mechanical environment with the innermost regions experiencing higher fluid pressures and lower tensile strains than the outer regions. It is presently unknown, however, how meniscus tissue mechanics correlate with the local micromechanical environment of cells. In this study, theoretical models were developed to study mechanics of inner and outer meniscus cells with varying geometries. The results for an applied biaxial strain predict significant regional differences in the cellular mechanical environment with evidence of tensile strains along the collagen fiber direction of ~0.07 for the rounded inner cells, as compared to levels of 0.02–0.04 for the elongated outer meniscus cells. The results demonstrate an important mechanical role of extracellular matrix anisotropy and cell morphology in regulating the region-specific micromechanics of meniscus cells, that may further play a role in modulating cellular responses to mechanical stimuli.

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References

  • Ahmed AM (1992) The load-bearing role of the knee menisci. In: Mow VC, Arnoczky SP, Jackson DW (eds) Knee Meniscus: Basic and Clinical Foundations. Raven Press, New York, pp 59–74

    Google Scholar 

  • Alexopoulos LG, Setton LA, Guilak F (2005) The biomechanical role of the chondrocyte pericellular matrix in articular cartilage. Acta Biomaterialia 1:317–325

    Article  Google Scholar 

  • Arnoczky SP, Warren RF (1983) The microvasculature of the meniscus and its response to injury: an experimental study in the dog. Am J Sports Med 11(3):131–141

    Article  PubMed  Google Scholar 

  • Bachrach NM, Valhmu WB, Stazzone E, Ratcliffe A, Lai WM, Mow VC (1995) Changes in proteoglycan synthesis of chondrocytes in articular cartilage are associated with time-dependent changes in their mechanical environment. J Biomech 28(12):1561–1569

    Article  PubMed  Google Scholar 

  • Baer AE, Setton LA (2000) The micromechanical environment of intervertebral disc cells: effect of matrix anisotropy and cell geometry predicted by a linear model. J Biomech Eng 122(3):245–251

    Article  PubMed  Google Scholar 

  • Baer AE, Laursen TA, Guilak F, Setton LA (2003) The micromechanical environment of intervertebral disc cells determined by a finite deformation, anisotropic, and, biphasic finite element model. J Biomech Eng 125:1–11

    Article  PubMed  Google Scholar 

  • Bass EC, Ashford FA, Segal MR, Lotz JC (2004) Biaxial testing of human annulus fibrosus and its implications for a constitutive formulation. Ann Biomed Eng 32(9):1231–1242

    Article  PubMed  Google Scholar 

  • Bhargava M, Attia E, Murrell G, Dolan M, Warren R, Hannafin J (1999) The effect of cytokines on the proliferation and migration of bovine meniscal cells. Am J Sports Med 27(5):636–642

    PubMed  Google Scholar 

  • Cheung HS (1987) Distribution of type I, II, III and V in the pepsin solubilized collagens in bovine menisci. Conn Tiss Res 16:343–356

    Article  Google Scholar 

  • Collier S, Ghosh P (1995) Effects of transforming growth factor beta on proteoglycan synthesis by cell and explant cultures derived from the knee joint meniscus. Osteoarthr Cartil 3:127–138

    Article  PubMed  Google Scholar 

  • Deschner J, Wypasek E, Ferretti M, Rath B, Anghelina M, Agarwal S (2005) Regulation of RANKL by biomechanical loading in fibrochondrocytes of meniscus. J Biomech (in press)

  • Eshleby JD (1957) The determination of the elastic field outside an ellipsoidal inclusion, and related problems. Proc Royal Soc A 241:376–396

    Article  Google Scholar 

  • Fermor B, Jeffcoat D, Hennerbichler A, Pisetsky D, Weinberg JB, Guilak F (2004) The effects of cyclic mechanical strain and tumor necrosis factor alpha on the response of cells of the meniscus. Osteoarthr Cartil 12:956–962

    Article  Google Scholar 

  • Fink C, Fermor B, Weinberg JB, Pisetsky DS, Misukonis MA, Guilak F (2001) The effect of dynamic mechanical compression on nitric oxide production in the meniscus. Osteoarthr Cartil 9:481–487

    Article  PubMed  Google Scholar 

  • Ghadially FN, Tomas I, Lalonde NY, Lalonde JMA (1978) Ultrastructure of rabbit semilunar cartilages. J Anat 125(3):499–517

    PubMed  Google Scholar 

  • Guilak F, Mow VC (2000) The mechanical environment of the chondrocyte: a biphasic finite element model of cell-matrix interactions in articular cartilage. J Biomech 33:1663–1673

    Article  PubMed  Google Scholar 

  • Guilak F, Ting-Beall HP, Baer AE, Trickey WR, Erickson GR, Setton LA (1999) Viscoelastic properties of intervertebral disc cells - identification of two biomechanically distinct cell populations. Spine 24:2475–2483

    Article  PubMed  Google Scholar 

  • Guilak F, Erickson GR, Ting-Beall HP (2002) The effects of osmotic stress on the viscoelastic and physical properties of articular chondrocytes. Biophys J 82(2):720–727

    Article  PubMed  Google Scholar 

  • Haider MA (2004) A radial biphasic model for local cell-matrix mechanics in articular cartilage. SIAM J Appl Math 64(5):1588–1608

    Article  MATH  MathSciNet  Google Scholar 

  • Hashimoto J, Kurosaka M, Yoshiya S, Hirohata K (1992) Meniscal repair using fibrin sealant and endothelial cell growth factor. An experimental study in dogs. Am J Sports Med 20(5):537–541

    Google Scholar 

  • Hellio Le Graverand MP, Ou Y, Schield-Yee T, Barclay L, Hart D, Natsume T, Rattner JB (2001) The cells of the rabbit meniscus: their arrangement, interrelationship, morphological variations and cytoarchitecture. J Anat 198:525–535

    Article  PubMed  Google Scholar 

  • Hennerbichler A, Fermor B, Weinberg JB, Pisetsky D, Guilak F (2005) Regional differences in nitric oxide production in response to different magnitudes of compression in the meniscus. Trans Orthop Res Soc 30:477

    Google Scholar 

  • Hochmuth RM (2000) Micropipette aspiration of living cells. J Biomech 33(1):15–22

    Article  PubMed  Google Scholar 

  • Holmes MH, Mow VC (1990) The nonlinear characteristics of soft gels and hydrated connective tissues in ultrafiltration. J Biomech 23:1145–1156

    Article  PubMed  Google Scholar 

  • LeRoux MA, Setton LA (2002) Experimental and biphasic FEM determinations of the material properties and hydraulic permeability of the meniscus in tension. J Biomech Eng 124:315–321

    Article  PubMed  Google Scholar 

  • LeRoux MA, Upton ML, Laursen TA, Setton LA (2001) Biphasic finite element modeling of tear effects on the mechanics of the meniscus. Proc ASME Summer Bioeng Conf 50:851–852

    Google Scholar 

  • Levy IM, Torzilli PA, Fisch ID (1992) The contribution of the menisci to the stability of the knee. In: Mow VC, Arnoczky SP, Jackson DW (eds) Knee meniscus. Basic and clinical foundations. Raven Press, New York, pp 107–116

    Google Scholar 

  • Lipkhitpanichkul M, Guo X, Lai WM, Mow VC (2004) Tension-compression nonlinearity influences the mechano-electrochemical environment of chondrocytes in cartilage under unconfined compression. Trans Orthop Res Soc 29:525

    Google Scholar 

  • Lynch HA, Elliott D (2004) Fiber-matrix interactions in a 3-D anisotropic strain energy model of tendon. Trans Orthop Res Soc 29:855

    Google Scholar 

  • McCarty EC, Marx RG, DeHaven KE (2002) Meniscus repair: considerations in treatment and update of clinical results. Clin Orthop Rel Res 402:122–134

    Article  Google Scholar 

  • McDevitt CA, Mukherjee S, Kambic H, Parker R (2002) Emerging concepts of the cell biology of the meniscus. Curr Opin Orthop 13:345–350

    Article  Google Scholar 

  • Mow VC, Kuei SC, Lai WM, Armstrong CG (1980) Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments. J Biomech Eng 102:73–84

    PubMed  Google Scholar 

  • Nakata K, Shino K et al. (2001) Human meniscus cell: characterization of the primary culture and use for tissue engineering. Clin Orthop Rel Res 391S:S208–S218

    Google Scholar 

  • Newman AP, Anderson DR, Daniels AU, Dales MC (1989) Mechanics of the healed meniscus in a canine model. Am J Sports Med 17(2):164–175

    Article  PubMed  Google Scholar 

  • Port J, Jackson DW, Lee TQ, Simon TM (1996) Meniscal repair supplemented with exogenous fibrin clot and autogenous cultured marrow cells in the goat model. Am J Sports Med 24(4):547–555

    Article  PubMed  Google Scholar 

  • Proctor CS, Schmidt MB, Whipple RR, Kelly MA, Mow VC (1989) Material properties of the normal medial bovine meniscus. J Orthop Res 7:771–782

    Article  PubMed  Google Scholar 

  • Quapp KM, Weiss JA (1998) Material characterization of human medial collateral ligament. J Biomech Eng 120:757–763

    Article  PubMed  Google Scholar 

  • Roughley PJ, White RJ (1992) The dermatan sulfate proteoglycans of the adult human meniscus. J Orthop Res 10(5):631–637

    Article  PubMed  Google Scholar 

  • Sato M, Theret DP, Wheeler LT, Ohshima N, Nerem RM (1990) Application of the micropipette technique to the measurement of cultured porcine aortic endothelial cell viscoelastic properties. J Biomech Eng 112(3):263–268

    Article  PubMed  Google Scholar 

  • Setton LA, Chen J (2004) Cell mechanics and mechanobiology in the intervertebral disc. Spine 29(23):2710–2723

    Article  PubMed  Google Scholar 

  • Spilker RL, Donzelli PS, Mow VC (1992) A transversely isotropic biphasic finite element model of the meniscus. J Biomech 25:1027–1045

    Article  PubMed  Google Scholar 

  • Spindler KP, Miller RR, Andrish JT, McDevitt CA (1994) Comparison of collagen synthesis in the peripheral and central region of the canine meniscus. Clin Orthop Rel Res 303:256–263

    Google Scholar 

  • Spindler KP, Mayes C, Miller R, Imro A, Davidson J (1995) Regional mitogenic response of the meniscus to platelet-derived growth factor (PDGF-AB). J Orthop Res 13:201–207

    Article  PubMed  Google Scholar 

  • Tanaka T, Fujii K, Kumagae Y (1999) Comparison of biochemical characteristics of cultured fibrochondrocytes isolated from the inner and outer regions of human meniscus. Knee 7:75–80

    Article  Google Scholar 

  • Trickey WR, Lee GM, Guilak F (2000) Viscoelastic properties of chondrocytes from normal and osteoarthritic human cartilage. J Orthop Res 18:891–898

    Article  PubMed  Google Scholar 

  • Upton ML, Chen J, Setton LA (2006) Region-specific constitutive gene expression in the adult porcine meniscus. J Orthop Res (In Press)

  • Upton ML, Hennerbichler A, Fermor B, Setton LA, Weinberg JB, Guilak F (2005) Gene expression and biosynthesis activity of inner and outer meniscus cells following primary culture and cyclic tensile stretch. Trans Orthop Res Soc 30:910

    Google Scholar 

  • Wu JZ, Herzog W (2000) Finite element simulation of location- and time-dependent mechanical behavior of chondrocytes in unconfined compression tests. Ann Biomed Eng 28(3):318–330

    Article  PubMed  Google Scholar 

  • Wu JZ, Herzog W, Epsetin M (1999) Modelling of location- and time-dependent deformation of chondrocytes during cartilage loading. J Biomech 32(6):563–572

    Article  PubMed  Google Scholar 

  • Wyland DJ, Guilak F, Elliott DM, Setton LA, Vail TP (2002) Chondropathy after meniscal tear or partial meniscectomy in a canine model. J Orthop Res 20:996–1002

    Article  PubMed  Google Scholar 

  • Yasunaga T, Kimura M, Kikuchi S (2001) Histologic change of the meniscus and cartilage tissue after meniscal suture. Clin Orthop Rel Res 387:232–240

    Article  Google Scholar 

  • Zhang H (2000) Geometric and Finite Element Modeling of the Tibio-Menisco-Femoral Contact under Passive Knee Joint Motion (PhD Thesis) Mechanical Engineering. University of Rochester, Rochester, NY: 155

  • Zhu W, Chern KY, Mow VC (1994) Anisotropic viscoelastic shear properties of bovine meniscus. Clin Orthop Rel Res 306:34–45

    Google Scholar 

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Correspondence to Tod A. Laursen or Lori A. Setton.

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Upton, M.L., Guilak, F., Laursen, T.A. et al. Finite Element Modeling Predictions of Region-specific Cell-matrix Mechanics in the Meniscus. Biomech Model Mechanobiol 5, 140–149 (2006). https://doi.org/10.1007/s10237-006-0031-4

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  • DOI: https://doi.org/10.1007/s10237-006-0031-4

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