Constitutive Model of Passive Myocardium of Lamb

Soltani, Navid; Nasiraei Moghaddam, Abbas; Faturaee, Nasser; Seyri, Saeed; Rassoli, Aisa

doi:10.22041/ijbme.2014.14704

Document Type : Full Research Paper

Authors

¹ M. Sc Student, Biomechanics Department, Faculty of Biomedical Engineering, Amirkabir University of Technology,Tehran, Iran

² Assistant Professor, Bioelectric Department, Faculty of Biomedical Engineering, Amirkabir University of Technology,Tehran, Iran

³ Associate Professor, Biomechanics Department, Faculty of Biomedical Engineering, Amirkabir University of Technology, Tehran, Iran

⁴ Ph.D Student, Biomechanics Department, Faculty of Biomedical Engineering, Amirkabir University of Technology,Tehran, Iran

10.22041/ijbme.2014.14704

Abstract

Experimental tests and equations on the continuum mechanics are used in order to obtain the constitutive models of soft tissue using in predictive heart simulation. Considering the myocardium as one of the important tissues, in this paper first the morphology and structure of myocardium has been reviewed and the mechanical response of passive form of this tissue has been investigated. The myocardium of left ventricle was considered as non linear elastic, in-compressible and non homogeneous material and using of bi-axial test in 3 lambs myocardium on fiber direction; a constitutive model of this tissue has been proposed. The model so constructed is then evaluated against the biaxial data, and values of the material constants have been obtained by curve fitting so the final model states the strain-energy function as cauchy's invariants which can be helpful in heart simulation.

Keywords

Main Subjects

Cardiovascular Biomechanics

References

[1] L. L. Demer, F. C. P. Yin, “Passive biaxial mechanical properties of isolated canine myocardium” J Physiol Lond 339, 615–630, 1983.

[2] F. C. P. Yin, R. K. Strumpf, P. H. Chew, S. L. Zeger, “Quantification of the mechanical properties of non-contracting canine myocardium under simultaneous biaxial loading” J Biomech 20, 577–589, 1987.

[3] S. H. Gilbert, A. P. Benson, P. Li, A. V. Holden, “Regional localization of left ventricular sheet structure: integration with current models of cardiac fiber, sheet and band structure” Eur J Cardiothoracic Surg 32, 231–249, 2007.

[4] I. J. LeGrice, B. H. Smaill, L. Z. Chai, S. G. Edgar, J. B. Gavin, P. J. Hunter, “Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog” Am J Physiol Heart Circ Physiol 269, H571–H582, 1995.

[5] I. J. LeGrice, P. J. Hunter, B. H. Smaill, “Laminar structure of the heart: a mathematical model” Am J Physiol Heart Circ Physiol 272, H2466–H2476, 1997.

[6] A. A. Young, I. J. LeGrice, M. A. Young, B. H. Smaill, “Extended confocal microscopy of myocardial laminae and collagen network” J Microsc 192, 139–150, 1998.

[7] G. B. Sands, D. A. Gerneke, D. A. Hooks, C. R. Green, B. H. Smaill, I. J. LeGrice, “Automated imaging of extended tissue volumes using confocal microscopy” Microsc Res Tech 2005: 67, 227–239.

[8] B. H. Smaill, P. J. Hunter, “Structure and function of the diastolic heart: material properties of passive myocardium. In Theory of heart: biomechanics, biophysics, and nonlinear dynamics of cardiac function (Eds L. Glass, P. J. Hunter A. D. McCulloch)” New York NY Springer pp 1–29, 1991.

[9] V. P. Novak, F. C. P. Yin, J. D. Humphrey, “Regional mechanical properties of passive myocardium” J Biomech Eng 27, 403–412, 1994.

[10] J. Vossoughi, R. N. Vaishnav, D. J. Patel, “Compressibility of the myocardial tissue” In Advances in bioengineering (ed. Van C. Mow), New York, NY Bioengineering Division, American Society of Mechanical Engineers pp 45–48, 1980.

[11] J. M. Huyghe, D. H. van Campen, T. Arts, R. M. Heethaar, “The constitutive behavior of passive heart muscle tissue, A quasi-linear viscoelastic formulation” J Biomech 24, 841–849, 1991.

[12] W. Michaesl Lai, D. Rubin, E. Krempl, “Introduction to continuum mechanics” third edition Butterworth-Heinemann pp 100-300, 1993.

[13] J. D. Humphrey, 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.

[14] J. D. Humphrey, R. K. Strumpf, F. C. P. Yin, “Determination of constitutive relation for passive myocardium. I. A new functional form” J Biomech Eng 112, 333–339, 1990.

[15] B. Y. Gerhard, A. Holzapfel, W. Ogden, “Constitutive modelling of passive myocardium: a structurally based framework for material characterization” Phil Trans R Soc A, 367, 3445–3, 2009.

Iranian Journal of Biomedical Engineering

Constitutive Model of Passive Myocardium of Lamb

References

References

Volume 8, Issue 4 - Serial Number 4
February 2015
Pages 359-370

Constitutive Model of Passive Myocardium of Lamb

References

References

Volume 8, Issue 4 - Serial Number 4February 2015Pages 359-370

Volume 8, Issue 4 - Serial Number 4
February 2015
Pages 359-370