On the application of strain factors for approximation of the contribution of anisotropic cells to the mechanics of a tissue construct

Journal of Biomechanics

Volumn 39, Issue 11, 2006, Pages 2145-2151

  Pablo Marquez, J ^a   Genin, Guy M ^a   Elson, Elliot L ^b  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

^b WASHINGTON UNIVERSITY   (United States)

Author keywords

Anisotropy; Cellular mechanics; Tissue mechanics

Indexed keywords

ANISOTROPIC CELLS; CELLULAR MECHANICS; FIBROBLAST CELLS; TISSUE MECHANICS;

ANISOTROPY; APPROXIMATION THEORY; CELLS; COLLAGEN; MATHEMATICAL MODELS; STRAIN; TISSUE;

BIOMECHANICS;

ACCURACY; ANISOTROPY; ARTICLE; BIOMECHANICS; CELL FUNCTION; CORRELATION ANALYSIS; PRIORITY JOURNAL; THEORETICAL MODEL; TISSUE ENGINEERING;

ANISOTROPY; BIOCOMPATIBLE MATERIALS; BIOMIMETIC MATERIALS; FIBROBLASTS; MODELS, BIOLOGICAL; STRESS, MECHANICAL; TISSUE ENGINEERING; WOUND HEALING;

EID: 33745858702     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2005.06.010     Document Type: Article

References (28)

1. Baer A.E., Laursen T.A., Guilak F., and Setton L.A. The micromechanical environment of intervertebral disc cells determined by a finite deformation, anisotropic, and biphasic finite element model. Journal of Biomechanical Engineering 125 (2003) 1-11
2. Barocas V.H., and Tranquillo R.T. An anisotropic biphasic theory of tissue-equivalent mechanics: the interplay among cell traction, fibrillar network deformation, fibril alignment, and cell contact guidance. Journal of Biomechanical Engineering 119 2 (1997) 137-145
3. Bird B.R., Curtiss C.F., Armstrong R.C., and Hassager O. Dynamics of Polymeric Liquids. Kinetic Theory vol. 2 (1987), Wiley, New York pp. 65-66
4. Breuls R.G., Sengers B.G., Oomens C.W., Bouten C.V., and Baaijens F.P. Predicting local cell deformations in engineered tissue constructs: a multilevel finite element approach. Journal of Biomechanical Engineering 124 2 (2002) 198-207
5. Chen C.H., and Cheng C.H. Effective elastic moduli of misoriented short-fiber composites. International Journal of Solids Structures 33 (1996) 2519-2539
6. Cramer L.P., Siebert M., and Mitchison T.J. Identification of novel graded polarity actin filament bundles in locomoting heart fibroblasts: implications for the generation of motile force. Journal of Cell Biology 136 (1997) 1287-1305
7. Eshelby J.D. The Determination of the Elastic Field outside an Ellipsoidal Inclusion, and Related Problems. Proceedings of the Royal Society of London A 241 (1957) 376-396
8. Eshelby J.D. The Elastic Field outside an Ellipsoidal Inclusion. Proceedings of the Royal Society of London A 252 (1959) 561-569
9. Fung Y.C. Biomechanics: Mechanical Properties of Living Tissues (1981), Springer, New York
10. Guilak F., and Mow V.C. The mechanical environment of the chondrocyte: a biphasic finite element model of cell-matrix interactions in articular cartilage. Journal of Biomechanics 33 (2000) 1663-1673
11. Hill A. The heat of shortening and the dynamic constants of muscle. Proceedings of the Royal Society of London B 126 (1938) 136-195
12. Jones R.M. Mechanics of Composite Materials. Second ed (1999), Taylor and Francis, London
13. Kolodney M.S., and Elson E.L. Correlation of myosin light chain phosphorylation with isometric contraction of fibroblasts. Journal of Biological Chemistry 268 (1993) 23850-23855
14. Lourenco S.V., Kapas S., Williams D.M., Leite K., and Araujo V.C. Expression patterns of integrins on pleomorphic adenoma and adenoid cystic carcinoma: study on specimens and in vitro investigation of the effects of extracellular matrix on the expression of these adhesion molecules. Journal of Oral Pathology & Medicine 33 9 (2004) 574-580
15. Marquez J.P., Genin G.M., Zahalak G.I., and Elson E.L. The relationship between cell and tissue strain in three-dimensional bio-artificial tissues. Biophysical Journal 88 (2005) 778-789
16. Marquez J.P., Genin G.M., Zahalak G.I., and Elson E.L. Thin bio-artificial tissues in plane stress: the relationship between cell and tissue strain, and an improved constitutive model. Biophysical Journal 88 (2005) 765-777
17. Menager C., Vassy J., Doliger C., Legrand Y., and Karniguian A. Subcellular localization of RhoA and ezrin at membrane ruffles of human endothelial cells: differential role of collagen and fibronectin. Experimental Cell Research 249 2 (1999) 221-230
18. Mori T., and Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 21 (1973) 571-574
19. Ozerdem B., and Tozeren A. Physical response of collagen gels to tensile strain. Journal of Biomechanical Engineering 117 (1995) 397-401
20. Parry D.A.D. The molecular and fibrillar structure of collagen and its relationship to the mechanical properties of connective tissue. Biophysical Chemistry 29 (1988) 195-209
21. Pins G.D., Huang E.K., Christiansen D.L., and Silver F.H. Effects of static axial strain on the tensile properties and failure mechanisms of self-assembled collagen fibers. Journal of Applied Polymer Science 63 (1997) 1429-1440
22. Prager W. On the formulation of constitutive equations for living soft tissues. Quarterly of Applied Mathematics 27 (1969) 128-132
23. Pryse K.M., Nekouzadeh A., Genin G.M., Elson E.L., and Zahalak G.I. Incremental mechanics of collagen gels: new experiments and a new viscoelastic model. Annals of Biomedical Engineering 31 (2003) 1287-1296
24. Roeder B.A., Kokini K., Sturgis J.E., Robinson J.P., and Voytik-Harbin S.L. Tensile mechanical properties of three-dimensional type I collagen extracellular matrices with varied microstructure. Journal of Biomechanical Engineering 124 (2002) 214-222
25. Tomasek J.J., Gabbiani G., Hinz B., Chaponnier C., and Brown R.A. Myofibroblasts and mechano-regulation of connective tissue remodelling. Nature Reviews Molecular Cell Biology 3 5 (2002) 349-363
26. Wakatsuki T., Kolodney M.S., Zahalak G.I., and Elson E.L. Cell Mechanics Studied by a Reconstituted Model Tissue. Biophysical Journal 79 (2000) 2353-2368
27. Wu J.Z., and Herzog W. Finite element simulation of location- and time-dependent mechanical behavior of chondrocytes in unconfined compression tests. Annals of Biomedical Engineering 28 (2000) 318-330
28. Zahalak G.I., Wagenseil J.E., Wakatsuki T., and Elson E.L. A cell-based constitutive relation for bio-artificial tissues. Biophysical Journal 79 (2000) 2369-2381