Computational mechanics modelling of cell-substrate contact during cyclic substrate deformation

Journal of the Mechanics and Physics of Solids

Volumn 53, Issue 12, 2005, Pages 2597-2637

  McGarry, J P ^a   Murphy, B P ^a   McHugh, P E ^a  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Biological material; Cell substrate contact; Finite elements

Indexed keywords

BIOLOGICAL MATERIALS; CELL CULTURE; DEBONDING; MATHEMATICAL MODELS; STRAIN RATE; STRETCHING; SUBSTRATES; SURFACE TENSION;

CELL REORIENTATIONS; CELL SUBSTRATES CONTACT; CYCLIC STRETCHING; FINITE ELEMENTS;

DEFORMATION;

EID: 25444460330     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.07.006     Document Type: Article

References (84)

1. ABAQUS/Standard User's Manual, 2002. Version 6.3, Hibbit, Karlsson and Sorensen, Inc., Pawtucket, RI, USA.
2. ABAQUS Theory Manual, 1997. Version 5.7, Hibbit, Karlsson and Sorensen, Inc., Pawtucket, RI, USA.
3. Athanasiou, K.A., 2004. Personal communication.
4. K.A. Athanasiou, B.S. Thoma, D.R. Lanctot, D. Shin, C.M. Agrawal, and R.G. LeBaron Development of the cytodetachment technique to quantify mechanical adhesiveness of the single cell Biomaterials 20 1999 2405 2415
5. D.L. Bader, T. Ohashi, M.M. Knight, D.A. Lee, and M. Sato Deformation properties of articular chondrocytes: a critique of three separate techniques Biorheology 39 2002 69 78
6. N.Q. Balaban, U.S. Schwarz, D. Riveline, P. Goichberg, G. Tzur, I. Sabanay, D. Mahalu, S. Safran, A. Bershadsky, L. Addadi, and B. Geiger Force and focal adhesion assembly: a close relationship studied using elastic micropatterned substrates Nat. Cell Biol. 3 5 2001 466 472
7. G. Bao, and S. Suresh Cell and molecular mechanics of biological materials Nat. Mater. 2 2003 715 725
8. G.I. Barenblatt Mathematical theory of equilibrium cracks in brittle fracture H.L. Dryden T. von Karman Advances in Applied Mechanics vol. VII 1962 Academic Press New York 55 125
9. G.I. Bell Models for the specific adhesion of cells to cells Science 200 1978 618 627
10. G.I. Bell, M. Dembo, and P. Bongrand Cell adhesion. Competition between non-specific repulsion and specific loading Biophys. J. 45 1984 1051 1064
11. G.E. Beltz, and J.R. Rice Dislocation nucleation versus cleavage decohesion at crack tips T.C. Lowe Modelling the Deformation of Crystalline Solids 1991 TMS PA, USA 457 480
12. K.A. Beningo, and Y.L. Wang Flexible substrata for the detection of cellular traction forces Trends Cell Biol. 12 2 2002 79 84
13. K.A. Beningo, M. Dembo, I. Kaverina, J.V. Small, and Y.L. Wang Nascent focal adhesions are responsible for the generation of strong propulsive forces in migrating fibroblasts J. Cell Biol. 153 4 2001 881 887
14. D. Bray Cell Movement: from Molecule to Motility 2001 Garland Publishing New York
15. R.C. Buck Reorientation response of cells to repeated stretch and recoil of the substratum Exp. Cell Res. 127 1980 470 474
16. N. Caille, O. Thoumine, Y. Tardy, and J.J. Meister Contribution of the nucleus to the mechanical properties of endothelial cells J. Biomech. 35 2002 177 187
17. B.P. Chan, V.D. Bhat, S. Yegnasubramanian, W.M. Reichert, and G.A. Truskey An equilibrium model of endothelial cell adhesion via integrin-dependent and integrin-independent ligands Biomaterials 20 1999 2395 2403
18. N. Chandra, H. Li, C. Shet, and H. Ghonem Some issues in the application of cohesive zone models for metal-ceramic interfaces Int. J. Solids Struct. 39 2002 2827 2855
19. P.C. Dartsch, and E. Betz Response of cultured endothelial cells to mechanical strain Basic Res. Cardiol. 84 1989 268 281
20. P.C. Dartsch, H. Hammerle, and E. Betz Orientation of cultured arterial smooth muscle cells growing on cyclically stretched substrates Acta Anat. 125 1986 108 113
21. P.F. Davies, A. Robotewskyj, and M.L. Griem Endothelial cell adhesion in real time J. Clin. Invest. 91 1993 2640 2652
22. P.F. Davies, A. Robotewskyj, and M.L. Griem Quantitative studies of endothelial cell adhesion J. Clin. Invest. 93 1994 2031 2038
23. M. Dembo, D.C. Torney, K. Saxman, and D.A. Hammer The reaction-limited kinetics of membrane-to-surface adhesion and detachment Proc. Roy. Soc. London B 234 1988 55 83
24. C. Dong, and X. Lei Biomechanics of cell rolling: shear flow, cell-surface adhesion, and cell deformability J. Biomech. 33 2000 35 43
25. D.S. Dugdale Yielding of steel sheets containing slits J. Mech. Phys. Solids 8 1960 100 104
26. E.A. Evans Detailed mechanics of membrane-membrane adhesion and separation. I. Continuum modelling of molecular cross bridges Biophys. J. 48 1985 175 183
27. P.A. Freeman, R.N. Natarajan, J.H. Kimura, and T.P. Andiacchi Chondrocyte cells respond mechanically to compressive loads J. Orthop. Res. 12 1994 311 320
28. L.B. Freund, and Y. Lin The role of binder mobility in spontaneous adhesive contact and implications for cell adhesion J. Mech. Phys. Solids 52 2004 2455 2472
29. F. Guilak, and V.C. Mow The mechanical environment of the chondrocyte: a biphasic finite element model of cell-matrix interactions in articular cartilage J. Biomech. 33 2000 1663 1673
30. F. Guilak, W.R. Jones, H.P. Ting-Beall, and G.M. Lee The deformation behavior and mechanical properties of chondrocytes in articular cartilage Osteoar. Cartilage 7 1999 59 70
31. F. Guilak, G.R. Erickson, and H.P. Ting-Beall The effects of osmotic stress on the viscoelastic and physical properties of articular chondrocytes Biophys. J. 82 2002 720 727
32. M.A. Haider, and F. Guilak An axisymmetric boundary integral model for assessing elastic cell properties in the micropipette aspiration contact problem J. Biomech. Eng. 124 2002 586 595
33. G. Hoben, W. Huang, B.S. Thoma, R.G. LeBaron, and K.A. Athanasiou Quantification of varying adhesion levels in chondrocytes using the cytodetacher Ann. Biomed. Eng. 30 2002 703 712
34. W. Huang, A. Bahman, J.H. Torres, R.G. LeBaron, and K.A. Athanasiou Temporal effects of cell adhesion on mechanical characteristics of the single chondrocyte J. Orthop. Res. 21 2003 88 95
35. K. Hyonchol, H. Arakawa, T. Osada, and A. Ikai Quantification of fibronectin and cell surface interactions by AFM Colloid Surface B 25 2002 33 43
36. W.R. Jones, H.P. Ting-Beall, G.M. Lee, S.S. Kelley, R.M. Hochmuth, and F. Guilak Mechanical properties of human chondrocytes and chondrons from normal and osteoporotic cartilage Trans. Orthop. Res. Soc. 22 1997 199
37. H. Karcher, J. Lammerding, H. Huang, R.T. Lee, R.D. Kamm, and M.R. Kaazempur-Mofrad A three dimensional viscoelastic model for cell deformation with experimental verification Biophys. J. 85 2003 3336 3349
38. M.M. Knight, J. van de Breevaart Bravenboer, D.A. Lee, G.J.V.M. van Osch, H. Weinans, and D.L. Bader Cell and nucleus deformation in compressed chondrocyte-alginate constructs: temporal changes and calculation of cell modulus Biochim. Biophys. Acta 1570 2002 1 8
39. E.J. Koay, A.C. Shieh, and K.A. Athanasiou Creep indentation of single cells J. Biomech. Eng. 125 2003 334 341
40. J.W. Kysar Continuum simulations of directional dependence of crack growth along a copper/sapphire bicrystal interface. Part I: experiments and crystal plasticity background J. Mech. Phys. Solids 49 2001 1099 1128
41. J.W. Kysar Continuum simulations of directional dependence of crack growth along a copper/sapphire bicrystal interface. Part II: Crack tip stress and deformation analysis J. Mech. Phys. Solids 49 2001 1129 1153
42. M.B. Lawrence, and T.A. Springer Leukocytes roll on a selectin at physiologic flow rates: distinction from and prerequisite for adhesion through integrins Cell 65 1991 859 873
43. D. Leckband, and J. Israelachvili Intermolecular forces in biology Quart. Rev. Biophys. 34 2001 105 267
44. P.P. Lehenkari, and M.A. Horton Single integrin molecule adhesion forces in intact cells measured by atomic force microscopy Biochem. Biophy. Res. Comm. 259 1999 645 650
45. N.C. Leipzig, and K.A. Athanasiou Unconfined creep compression of chondrocytes J. Biomech. 38 2005 77 85
46. C.M. Lo, H.B. Wang, M. Dembo, and Y.L. Wang Cell movement is guided by the rigidity of the substrate Biophys. J. 79 1 2000 144 152
47. A.M. Malek, and S. Izumo Mechanism of endothelial cell shape change and cytoskeletal remodeling in response to fluid shear stress J. Cell Sci. 109 1996 713 726
48. M. Masuda, and K. Fujiwara Morphological responses of single endothelial cells exposed to physiological levels of fluid shear stress Front. Med. Biol. Engng. 5 2 1993 79 87
49. A.B. Mathur, A.M. Collinsworth, W.M. Reichert, W.E. Kraus, and G.A. Truskey Endothelial, cardiac muscle and skeletal muscle exhibit different viscous and elastic properties as determined by atomic force microscopy J. Biomech. 34 2001 1545 1553
50. J.G. McGarry, and P.J. Prendergast A three-dimensional finite element model of an adherent eukaryotic cell Eur. Cells Mater. 7 2004 27 34
51. S.M. Mijailovich, M. Kojic, M. Zivkovic, B. Fabry, and J.J. Fredberg A finite element model of cell deformation during magnetic bead twisting J. Appl. Phys. 93 2002 1429 1436
52. V.C. Mow, S.C. Kruei, W.M. Lai, and C.G. Armstrong Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments J. Biomech. Eng. 102 1980 73 84
53. 2+ entry J. Cell Sci. 117 2004 85 92
54. A. Needleman A continuum model for void nucleation by inclusion debonding J. Appl. Mech. 54 1987 525 531
55. Neidlinger-Wilke, E.S. Grood, J.H.-C. Wang, R.A. Brand, and L. Claes Cell alignment is induced by cyclic changes in cell length: studies of cells grown in cyclically stretched substrates J. Orthop. Res. 19 2001 286 293
56. T. Ohashi, Y. Ishii, Y. Ishikawa, T. Matsumoto, and M. Sato Experimental and numerical analyses of local mechanical properties measured by atomic force microscopy for sheared endothelial cells Biomed. Mater. Eng. 12 2002 319 327
57. R.J. Pelham Jr., and Y. Wang Cell locomotion and focal adhesions are regulated by substrate flexibility Proc. Natl. Acad. Sci. USA 94 25 1997 13661 13665
58. J.H. Rose, J. Ferrante, and J.R. Smith Universal binding energy curves for metals and bimetallic interfaces Phys. Rev. Lett. 47 1981 675 678
59. M. Sato, D.P. Theret, L.T. Wheeler, N. Ohshima, and R.M. Nerem Application of the micropipette technique to the measurement of cultured porcine aortic endothelial cell viscoelastic properties J. Biomech. Eng. 112 1990 263 268
60. M. Sato, N. Ohshima, and R.M. Nerem Viscoelastic properties of cultured porcine aortic endothelial cells exposed to shear stress J. Biomech. 29 1996 461 467
61. M. Sato, K. Nagayama, N. Kataoka, M. Sasaki, and K. Hane Local mechanical properties measured by atomic force microscopy for cultured bovine endothelial cells exposed to shear stress J. Biomech. 33 2000 127 135
62. D. Shin, and K. Athanasiou Cytoindentation for obtaining cell biomechanical properties J. Orthop. Res. 17 1999 880 890
63. C. Sultan, D. Stamenovic, and D.E. Ingber A computational tensegrity model predicts dynamic rheological behaviours in living cells Ann. Biomed. Eng. 32 2004 520 530
64. K.-L.P. Sung, M.K. Kwan, F. Maldonado, and W.H. Akeson Adhesion strength of human ligament fibroblasts J. Biomech. Eng. 116 1994 237 242
65. T. Takemasa, K. Sugimoto, and K. Yamashita Amplitude dependent stress fiber reorientation in early response to cyclic strain Exp. Cell Res. 230 1997 407 410
66. T. Takemasa, T. Yamaguchi, Y. Yamamoto, K. Sugimoto, and K. Yamashita Oblique alignment of stress fibers in cells reduces the mechanical stress in cyclically deforming fields Eur. J. Cell Biol. 77 1998 91 99
67. J.L. Tan, J. Tien, D.M. Pirone, D.S. Gray, K. Bhadriraju, and C.S. Chen Cells lying on a bed of microneedles: an approach to isolate mechanical force Proc. Natl. Acad. Sci. USA 100 4 2003 1484 1489
68. D.P. Theret, M.J. Levesque, M. Sato, R.M. Nerem, and L.T. Wheeler The application of a homogeneous half-space model in the analysis of endothelial cell micropipette measurements J. Biomech. Eng. 112 1988 263 268
69. O. Thoumine, and A. Ott Time scale dependent viscoelastic and contractile regimes in fibroblasts probed by microplate manipulation J. Cell Sci. 110 1997 2109 2116
70. O. Thoumine, O. Cardoso, and J-J. Meister Changes in the mechanical properties of fibroblasts during spreading: a micromanipulation study Eur. Biophys. J. 28 1999 222 234
71. T.R. Trickey, M. Lee, and F. Guilak Viscoelastic properties of chondrocytes from normal and osteoarthritic human cartilage J. Orthop. Res. 18 2000 891 898
72. V. Tvergaard Effect of fibre debonding in a whisker-reinforced metal Mater. Sci. Eng. A 125 1990 203 213
73. H.-C. Wang, W. Ip, R. Boissy, and E.S. Grood Cell orientation response to cyclically deformed substrates: experimental validation of a cell model J. Biomech. 28 1995 1543 1552
74. N. Wang, and D.E. Ingber Control of cytoskeletal mechanics by extracellular matrix, cell shape, and mechanical tension Biophys. J. 66 1994 2181 2189
75. J.H.-C. Wang Substrate deformation determined actin cytoskeleton reorganization: a mathematical modelling and experimental study J. Theor. Biol. 202 2000 33 41
76. J.H.-C. Wang, P. Goldschmidt-Clermont, and F.C.-P. Yin Contractility affects stress fiber remodelling and reorientation of endothelial cells subjected to cyclic mechanical stretch Ann. Biomed. Eng. 28 2000 1165 1171
77. J.H.-C. Wang, P. Goldschmidt-Clermont, J. Willie, and F.C.-P. Yin Specificity of endothelial cell reorientation in response to cyclic mechanical stretching J. Biomech. 34 2001 1563 1572
78. Y. Xiao, and G.A. Truskey Effect of receptor-ligand affinity on the strength of endothelial cell adhesion Biophys. J. 71 1996 2869 2884
79. X.-P. Xu, and A. Needleman Void nucleation by inclusion debonding in crystal matrix Model. Simul. Mater. Sci. Eng. 1 1993 111 132
80. A. Yamamoto, S. Mishima, N. Maruyama, and M. Sumita A new technique for direct measurement of the shear force necessary to detach a cell from a material Biomaterials 19 1998 871 879
81. T. Yeung, P.C. Georges, L.A. Flanagan, B. Marg, M. Ortiz, and M. Funaki Effects of substrate stiffness on cell morphology, cytoskeletal structure, and adhesion Cell Motil. Cytoskel. 60 2005 24 34
82. X. Zhang, and V.T. Moy Cooperative adhesion of ligand-receptor bonds Biophys. Chem. 104 2003 271 278
83. C. Zhu Kinetics and mechanics of cell adhesion J. Biomech. 33 2000 23 33
84. C. Zhu, G. Bao, and N. Wang Cell mechanics: mechanical response, cell adhesion, and molecular deformation Annu. Rev. Biomed. Eng. 2 2000 189 226