On the Effects of Residual Stress in Microindentation Tests of Soft Tissue Structures

Journal of Biomechanical Engineering

Volumn 126, Issue 2, 2004, Pages 276-283

  Zamir, Evan A ^a   Taber, Larry A ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; FINITE ELEMENT METHOD; INDENTATION; MATHEMATICAL MODELS; RESIDUAL STRESSES; TISSUE;

FORCE-DISPLACEMENT (FD) DATA; MICROINDENTATION;

BIOMECHANICS;

ANIMAL EXPERIMENT; ANIMAL TISSUE; ARTICLE; ATOMIC FORCE MICROSCOPY; BIOMECHANICS; CHICKEN; ELASTICITY; EMBRYO; EXTRACELLULAR MATRIX; FINITE ELEMENT ANALYSIS; FORCE; HEART; MATHEMATICAL MODEL; MICROINDENTATION TEST; NONHUMAN; PIEZOELECTRICITY; SOFT TISSUE; STRESS STRAIN RELATIONSHIP; TENSION;

ANIMALS; CHICK EMBRYO; COMPUTER SIMULATION; CONNECTIVE TISSUE; CULTURE TECHNIQUES; ELASTICITY; HARDNESS; HARDNESS TESTS; HEART; MODELS, CARDIOVASCULAR; MOVEMENT; MYOCARDIUM; NONLINEAR DYNAMICS; PHYSICAL STIMULATION; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; STRESS, MECHANICAL;

ANIMALIA; GALLUS GALLUS;

EID: 2442494099     PISSN: 01480731     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1695573     Document Type: Article

References (45)

1. Domke, J., Parak, W. J., George, M., Gaub, H. E., and Radmacher, M., 1999, "Mapping the mechanical pulse of single cardiomyocytes with the atomic force microscope," Eur. Biophys. J., 28, pp. 179-186.
2. Sato, M., Nagayama. K., Kataoka, N., Sasaki, M., and Hane, K., 2000, "Local mechanical properties measured by atomic force microscopy for cultured bovine endothelial cells exposed to shear stress," J. Biomech., 33, pp. 127-135.
3. Rotsch, C., and Radmacher, M., 2000, "Drug-induced changes of cytoskeletal structure and mechanics in fibroblasts: an atomic force microscopy study." Biophys. J., 78, pp. 520-535.
4. Mathur, A. B., Collinsworth, A. M., Reichert, W. M., Kraus, W. E., and Truskey, G. A., 2001, "Endothelial, cardiac muscle and skeletal muscle exhibit different viscous and elastic properties as determined by atomic force microscopy," Biophys. J., 34, pp. 1545-1553.
5. Bhadriraju, K., and Hansen, L. K., 2002, "Extracellular matrix-and cytoskeleton-dependent changes in cell shape and stiffness," Exp. Cell Res., 278, pp. 92-100.
6. Matzke, R., Jacobson, K., and Radmacher, M., 2001, "Direct, high-resolution measurement of furrow stiffening during division of adherent cells," Nat. Cell Biol., 3, pp. 607-610.
7. Rotsch, C., Jacobson, K., and Radmacher, M., 1999, "Dimensional and mechanical dynamics of active and stable edges in motile fibroblasts investigated by using atomic force microscopy," Proc. Natl. Acad. Sci. U.S.A., 96, pp. 921-926.
8. Haider, M. A., and Holmes, M. H., 1997, "A mathematical approximation for the solution of a static indentation test," J. Biomech., 30, pp. 747-751.
9. Sakamoto, M., Li, G., Hara, T., and Chao, E. Y., 1996, "A new method for theoretical analysis of static indentation test," J. Biomech., 29, pp. 679-685.
10. Costa, K. D., and Yin, F. C., 1999, "Analysis of indentation: implications for measuring mechanical properties with atomic force microscopy," J. Biomech. Eng., 121, pp. 462-471.
11. Humphrey, J. D., Halperin, H. R., and Yin, F. C. P., 1991, "Small Indentation Superimposed on a Finite Equibiaxial Stretch: Implications for Cardiac Mechanics," J. Appl. Mech., 58, pp. 1108-1111.
12. Kiehart, D. P., Galbraith, C. G., Edwards, K. A., Rickoll, W. L., and Montague, R. A., 2000, "Multiple forces contribute to cell sheet morphogenesis for dorsal closure in Drosophila," J. Cell Biol., 149, pp. 471-490.
13. Donnell, L. H., 1976, Beams, Plates, and Shells, McGraw-Hill, New York.
14. Szilard, R., 1974, Theory and Analysis of Plates, Prentice-Hall, Englewood Cliffs, NJ.
15. Shampine, Lawrence F., Kierzenka, Jacek, and Reichelt, Mark W., "Solving Boundary Value Problems for Ordinary Differential Equations in MATLAB with bvp4c", 10-26-2000, ftp://ftp.mathworks.com/pub/doc/papers/bvp/.
16. M. Hetenyi, 1946, Beams on Elastic Foundation, The University of Michigan Press, Ann Arbor.
17. Timoshenko, S. and Woinowsky-Krieger, S., 1959, Theory of Plates and Shells, McGraw-Hill Book Company, Inc., New York.
18. Manner, J., 2000, "Cardiac Looping in the Chick Embryo: A Morphological Review with Special Reference to Terminological and Biomechanical Aspects of the Looping Process," Anat. Rec., 259, pp. 248-262.
19. Taber, L. A., Hu, N., Pexieder, T., Clark, E. B., and Keller, B. B., 1993, "Residual Strain in the Ventricle of the Stage 16-24 Chick Embryo," Circ. Res., 72, pp. 455-462.
20. Karduna, A. R., Halperin, H. R., and Yin, F. C., 1997, "Experimental and numerical analyses of indentation in finite-sized isotropic and anisotropic rubber-like materials," Ann. Biomed. Eng., 25, pp. 1009-1016.
21. Zamir, EA, Srinivasan, V. Perucchio, R., and Taber, LA, Mechanical Asymmetry in the Embryonic Chick Heart During Looping, Annals of Biomedical Engineering 31, pp. 1327-1336.
22. Hamburger, V., and Hamilton, H. L., 1951, "A Series of Normal Stages in the Development of the Chick Embryo," J. Morphol., 88, pp. 49-92.
23. Voronov, D. A., and Taber, L. A., 2002, "Cardiac looping in experimental conditions: Effects of extraembryonic forces," Dev. Dyn., 224, pp. 413-421.
24. Nakamura, A., and Manasek, F. J., 1978, "Experimental Studies of the Shape and Structure of Isolated Cardiac Jelly," J. Embryol. Exp. Morphol., 43, pp. 167-183.
25. Daily, B., Elson, E. L., and Zahalak, G. I., 1984, "Cell poking. Determination of the elastic area compressibility modulus of the erythrocyte membrane." Biophys. J., 45, pp. 671-682.
26. Fung, Y. C., and Liu, S. Q., 1992, "Strain Distribution in Small Blood Vessels with Zero-Stress State Taken into Consideration," Am. J. Physiol., 262, pp. H544-H552.
27. Liu, S. Q., and Fung, Y. C., 1998, "Zero-Stress States of Arteries," J. Biomech. Eng., 110, pp. 82-84.
28. Omens, J. H., and Fung, Y. C., 1990, "Residual Strain in Rat Left Ventricle," Circ. Res., 66, pp. 37-45.
29. Hofmann, U. G., Rotsch, C., Parak, W. J., and Radmacher, M., 1997, "Investigating the Cytoskeleton of Chicken Cardiocytes with the Atomic Force Microscope," J. Struct. Biol., 119, pp. 84-91.
30. Radmacher, M. 1997, "Measuring the Elastic Properties of Biological Samples with the AFM." IEEE Eng. Med. Biol. Mag., 16, pp. 47-57.
31. Sato, M., Nagayama, K., Kataoka, N., Sasaki, M., and Hane, K., 2000, "Local mechanical properties measured by atomic force microscopy for cultured bovine endothelial cells exposed to shear stress," J. Biomech., 33, pp. 127-135.
32. Halperin, H. R., Chew, P. H., Weisfeldt, M. L., Sagawa, K., Humphrey, J. D., and Yin, F. C. P., 1987, "Transverse Stiffness: A Method for Estimation of Myocardial Wall Stress," Circ. Res., 61, pp. 695-703.
33. Ulfendahl, M., Chan, E., McConnaughey, W. B., Prost-Domasky, S., and Elson, E. L., 1998, "Axial and Transverse Stiffness Measures of Cochlear Outer Hair Cells Suggest a Common Mechanical Basis," Pflugers Archive, 436, pp. 9-15.
34. Hale, J. E., Rudert, M. J., and Brown, T. D., 1993, "Indentation assessment of biphasic mechanical property deficits in size-dependent osteochondral defect repair," J. Biomech., 26, pp. 1319-1325.
35. Hayes. W. C., Keer, L. M., Herrmann, G., and Mockros, L. F., 1972, "A mathematical analysis for indentation tests of articular cartilage," J. Biomech., 5, pp. 541-551.
36. Hori, R. Y., and Mockros, L. F., 1976, "Indentation tests of human articular cartilage," J. Biomech., 9, pp. 259-268.
37. Jurvelin, J., Kiviranta, I., Saamanen, A. M., Tammi, M., and Helminen, H. J., 1990, "Indentation stiffness of young canine knee articular cartilage-influence of strenuous joint loading," J. Biomech., 23, pp. 1239-1246.
38. Kempson, G. E., Freeman, M. A., and Swanson, S. A., 1971, "The determination of a creep modulus for articular cartilage from indentation tests of the human femoral head," J. Biomech., 4, pp. 239-250.
39. Suh, J. K., and Spilker, R. L., 1994, "Indentation analysis of biphasic articular cartilage: nonlinear phenomena under finite deformation," J. Biomech. Eng., 116, pp. 1-9.
40. Itasaki, N., Nakamura, H., and Yasuda, M. 1989, "Changes in the Arrangement of Actin Bundles During Heart Looping in the Chick Embryo," Anat. Embryol. (Berl), 180, pp. 413-420.
41. Costa, K. D., May-Newman, K., Farr, D., O'Dell, W. G., McCulloch, A. D., and Omens, J. H., 1997, "Three-dimensional Residual Strain in Midanterior Canine Left Ventricle," Am. J. Physiol., 273, pp. H1968-H1976.
42. Fung, Y. C., and Liu, S. Q., 1989, "Change of Residual Strains in Arteries due to Hypertrophy Caused by Aortic Constriction," Circ. Res., 65, pp. 1340-1349.
43. Han, H. C., and Fung, Y. C., 1991, "Residual Strains in Porcine and Canine Trachea," J. Biomech., 24, pp. 307-315.
44. Charras, G. T., and Horton, M. A., 2002, "Determination of cellular strains by combined atomic force microscopy and finite element modeling," Biophys. J., 83, pp. 858-879.
45. Charras, G. T., and Horton, M. A., 2002, "Single cell mechanotransduction and its modulation analyzed by atomic force microscope indentation," Biophys. J., 82, pp. 2970-2981.