Quantification of Shear Deformations and Corresponding Stresses in the Biaxially Tested Human Myocardium

Annals of Biomedical Engineering

Volumn 43, Issue 10, 2015, Pages 2334-2348

  Sommer, Gerhard ^a   Haspinger, Daniel Ch ^a   Andrä, Michaela ^b   Sacherer, Michael ^c   Viertler, Christian ^c   Regitnig, Peter ^c   Holzapfel, Gerhard A ^a  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

^b Klinikum Klagenfurt Am Worthersee   (Austria)

^c MEDICAL UNIVERSITY OF GRAZ   (Austria)

Author keywords

Biaxial extension test; Mechanical property; Passive human left ventricular myocardium; Shear deformation; Shear stress

Indexed keywords

BIOMECHANICS; ELECTROPHYSIOLOGY; FIBER REINFORCED MATERIALS; LOAD TESTING; MECHANICAL PROPERTIES; MECHANICAL TESTING; REINFORCEMENT; SHEAR DEFORMATION; SHEAR STRESS;

BIAXIAL EXTENSION; EXPERIMENTAL ANIMALS; ISOTROPIC MATERIALS; LEFT VENTRICULAR MYOCARDIUMS; MECHANICAL BEHAVIOR; MECHANICAL CHARACTERIZATIONS; SPECIMEN ORIENTATION; VENTRICULAR MYOCARDIUM;

STRESSES;

LATEX;

AGED; ANALYTIC METHOD; ANISOTROPY; ARTICLE; BIOMECHANICS; COMPARATIVE STUDY; COMPUTER SIMULATION; CONTROLLED STUDY; EXPERIMENTAL TEST; HEART LEFT VENTRICLE; HEART MUSCLE; HUMAN; HUMAN CELL; HUMAN TISSUE; KINEMATICS; LOAD TRANSMISSION; LOADING TEST; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MEAN FIBER DIRECTION; MECHANICAL STRESS; MECHANICS; PHYSICAL PHENOMENA; PLANAR BIAXIAL EXTENSION TEST; PRIORITY JOURNAL; QUANTITATIVE ANALYSIS; SHEAR CAUCHY STRESS; SHEAR DEFORMATION; SHEAR STRESS; VALIDATION PROCESS; CARDIAC MUSCLE; MIDDLE AGED; SHEAR STRENGTH;

AGED; HUMANS; MIDDLE AGED; MYOCARDIUM; SHEAR STRENGTH; STRESS, MECHANICAL;

EID: 84941874588     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-015-1281-z     Document Type: Article

References (43)

1. Chew, P. H., F. C. Yin, and S. L. Zeger. Biaxial stress-strain properties of canine pericardium. J. Mol. Cell Cardiol. 18:567–578, 1986.
2. Demer, L. L., and F. C. P. Yin. Passive biaxial mechanical properties of isolated canine myocardium. J. Physiol. Lond. 1983;339:615–630.
3. Dokos, S., B. H. Smaill, A. A. Young, and I. J. LeGrice. Shear properties of passive ventricular myocardium. Am. J. Physiol. 283:H2650–H2659, 2002.
4. Eilaghi, A., J. G. Flanagan, G. W. Brodland, and C. R. Ethier. Strain uniformity in biaxial specimens is highly sensitive to attachment details. J. Biomech. Eng. 131:0910031–0910037, 2009.
5. Eriksson, T. S. E., A. J. Prassl, G. Plank, and G. A. Holzapfel. Influence of myocardial fiber/sheet orientations on left ventricular mechanical contraction. Math. Mech. Solids 18:592–606, 2013.
6. Eriksson, T. S. E., A. J. Prassl, G. Plank, and G. A. Holzapfel. Modeling the dispersion in electro-mechanically coupled myocardium. Int. J. Numer. Methods Biomed. Eng. 29:1267–1284, 2013.
7. Frank, J. S., and G. A. Langer. The myocardial interstitium: its structure and its role in ionic exchange. J. Cell Biol. 60:586–601, 1974.
8. Freed, A. D., D. R. Einstein, and M. S. Sacks. Hypoelastic soft tissues: part II: in-plane biaxial experiments. Acta Mech. 2010;213:205–222.
9. Fung, Y. C. Biomechanics. Mechanical Properties of Living Tissues, 2nd ed. New York: Springer-Verlag, 1993.
10. Ghaemi, H., K. Behdinan, and A. D. Spence. In vitro technique in estimation of passive mechanical properties of bovine heart part I. Experimental techniques and data. Med. Eng. Phys. 31:76–82, 2009.
11. Gutierrez, C., and D. G. Blanchard. Diastolic heart failure: challenges of diagnosis and treatment. Am. Family Phys. 69:2609–2616, 2004.
12. Holzapfel, G. A. Nonlinear Solid Mechanics. A Continuum Approach for Engineering. Chichester: John Wiley & Sons, 2000.
13. Holzapfel, G. A., and R. W. Ogden. On planar biaxial tests for anisotropic nonlinearly elastic solids. A continuum mechanical framework. Math. Mech. Solids 14:474–489, 2009.
14. Holzapfel, G. A., R. W. editors. Biomechanical Modelling at the Molecular, Cellular and Tissue Levels. Wien-New York: Springer-Verlag, 2009.
15. Holzapfel, G. A., and R. W. Ogden. Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Philos. Trans. R. Soc. A. 367:3445–3475, 2009.
16. Humphrey, J. D. Cardiovascular Solid Mechanics. Cells, Tissues, and Organs. New York: Springer-Verlag, 2002.
17. Humphrey, J. D., D. L. Vawter, and R. P. Vito. Quantification of strains in biaxially tested soft tissues. J. Biomech. 20:59–65, 1987.
18. Humphrey, J. D., and F. C. P. Yin. On constitutive relations and finite deformations of passive cardiac tissue—Part I: a pseudo-strain energy function. J. Biomech. Eng. 109:298–304, 1987.
19. Humphrey, J. D., and F. C. Yin. Biomechanical experiments on excised myocardium: theoretical considerations. J. Biomech. 22:377–383, 1989.
20. Humphrey, J. D., and F. C. P. Yin. Constitutive relations and finite deformations of passive cardiac tissue: II. Stress analysis in the left ventricle. Circ. Res. 65:805–817, 1989.
21. Humphrey, J. D., R. K. Strumpf, and F. C. P. Yin. Biaxial mechanical behavior of excised ventricular epicardium. Am. J. Physiol. Heart Circ. Physiol. 259:H101–H108, 1990
22. Humphrey, J. D., R. K. Strumpf, and F. C. P. Yin. Determination of constitutive relation for passive myocardium: I. A new functional form. J. Biomech. Eng. 112:333–339, 1990.
23. Humphrey, J. D., R. K. Strumpf, and F. C. P. Yin. Determination of constitutive relation for passive myocardium: II. Parameter estimation. J. Biomech. Eng. 112:340–346, 1990.
24. Langdon, S. E., R. Chernecky, C. A. Pereira, and D. A. J. M. Lee. Biaxial mechanical/structural effects of equibiaxial strain during crosslinking of bovine pericardial xenograft materials. Biomaterials 20:137–153, 1999.
25. Nielsen, P. M. F., I. J. LeGrice, B. H. Smaill, and P. J. Hunter. Mathematical model of geometry and fibrous structure of the heart. Am. J. Physiol. Cell. Physiol. 260:H1365–H1378, 1991.
26. Ogden, R. W. Non-linear Elastic Deformations. New York: Dover, 1997.
27. Rohmer, D., A. Sitek, and G. T. Gullberg. Reconstruction and visualization of fiber and laminar structure in the normal human heart from ex vivo diffusion tensor magnetic resonance imaging (DTMRI) data. Investig. Radiol. 42:777–789, 2007.
28. Sands, G. B., B. H. Smaill, and I. J. LeGrice. Virtual sectioning of cardiac tissue relative to fiber orientation. In: Proceedings of the 30th Annual International Conference of the IEEE Engineering in Medicine and Biology Society EMBS 2008, 2008, pp. 226–229.
29. Sands, G. B., D. A. Gerneke, D. A. Hooks, C. R. Green, B. H. Smaill, and I. J. LeGrice. Automated imaging of extended tissue volumes using confocal microscopy. Microsc. Res. Tech. 67:227–239, 2005.
30. Scollan, D. F., A. Holmes, R. Winslow, and J. Forder. Histological validation of myocardial microstructure obtained from diffusion tensor magnetic resonance imaging. Am. J. Physiol. Heart. Circ. Physiol. 275(6):H2308–H2318, 1998.
31. Sharpe, W. N. Jr., J. Pulskamp, D. G. Gianola, C. Eberl, R. G. Polcawich, and R. J. Thompson. Strain measurement of silicon dioxide microspecimens by digital image processing. Exp. Mech. 47:649–658, 2007.
32. Sommer, G., P. Regitnig, L. Költringer, and G. A. Holzapfel. Biaxial mechanical properties of intact and layer-dissected human carotid arteries at physiological and supra-physiological loadings. Am. J. Physiol. Heart Circ. Physiol. 298:H898–H912, 2010.
33. Sommer, G., M. Eder, L. Kovacs, H. Pathak, L. Bonitz, C. Mueller, et al. Multiaxial mechanical properties and constitutive modeling of human adipose tissue: a basis for preoperative simulations in plastic and reconstructive surgery. Acta Biomater. 9:9036–9048, 2013.
34. Sommer, G., A. Schriefl, G. Zeindlinger, A. Katzensteiner, H. Ainödhofer, A. Saxena, et al. Multiaxial mechanical response and constitutive modeling of esophageal tissues: impact on esophageal tissue engineering. Acta Biomater. 9:9379–9091, 2013.
35. Sommer, G., A. J. Schriefl, M. Andrä, M. Sacherer, C. Viertler, H. Wolinski, et al. Biomechanical properties and microstructure of human ventricular myocardium. Acta Biomater. (submitted).
36. Sommer, G., M. Schwarz, M. Kutschera, R. Kresnik, P. Regitnig, A. J. Schriefl, et al. Biomechanical properties of the human ventricular myocardium. Biomedizinische Technik. 58(Suppl. 1), 2013.
37. Streeter, D. D., and W. T. Hanna. Engineering mechanics for successive states in canine left ventricular myocardium. I. Cavity and wall geometry. Circ. Res. 33:639–655, 1973.
38. Toursel, T., L. Stevens, H. Granzier, and Y. Mounier. Passive tension of rat skeletal soleus muscle fibers: effects of unloading conditions. J. Appl. Physiol. 92:1465–1472, 2002.
39. Truesdell, C., and W. Noll. In: The Non-linear Field Theories of Mechanics, 3rd edn, edited by S. S. Antman. Berlin: Springer-Verlag; 2004.
40. Yin, F. C. P. Ventricular wall stress. Circ. Res. 49:829–842, 1981.
41. Yin, F. C. P., C. Chan, and R. Judd. Compressibility of perfused passive myocardium. Am. J. Physiol. Heart Circ. Physiol. 8:1864–1870, 1996.
42. Young, A. A., I. J. Legrice, M. A. Young, and B. H. Smaill. Extended confocal microscopy of myocardial laminae and collagen network. J. Microsc. 192:139–150, 1998.
43. Zienkiewicz, O. C., and R. L. Taylor. The Finite Element Method. The Basis, vol. 1, 5th ed. Oxford: Butterworth Heinemann, 2000.