On the Constitutive Models for Heart Valve Leaflet Mechanics

Large-strain constitutive modeling of biological tissues has grown enormously as a field in the past decade. This paper investigates the viability of the existing models for describing heart valve leaflet mechanics. The properties of the leaflet tissue are discussed, and a variety of constitutive models are addressed. Models based on continuum and unit cell approaches are highlighted as being suited to leaflet modeling.

[1]  Y. Fung Elasticity of soft tissues in simple elongation. , 1967, The American journal of physiology.

[2]  J S Jurvelin,et al.  Biphasic poroviscoelastic simulation of the unconfined compression of articular cartilage: I--Simultaneous prediction of reaction force and lateral displacement. , 2001, Journal of biomechanical engineering.

[3]  M. Sacks,et al.  Biaxial mechanical properties of the natural and glutaraldehyde treated aortic valve cusp--Part I: Experimental results. , 2000, Journal of biomechanical engineering.

[4]  M. Narkis,et al.  Compressive strength of unidirectional and crossply carbon fibre/PEEK composites , 1995 .

[5]  Y Lanir,et al.  A structural theory for the homogeneous biaxial stress-strain relationships in flat collagenous tissues. , 1979, Journal of biomechanics.

[6]  J. Humphrey,et al.  Determination of a constitutive relation for passive myocardium: I. A new functional form. , 1990, Journal of biomechanical engineering.

[7]  M. Sacks,et al.  Biaxial mechanical properties of the native and glutaraldehyde-treated aortic valve cusp: Part II--A structural constitutive model. , 2000, Journal of biomechanical engineering.

[8]  E HVIDBERG,et al.  Investigations into the effect of mechanical pressure on the water content of isolated skin. , 2009, Acta Pharmacologica et Toxicologica.

[9]  M. Boyce,et al.  Constitutive models of rubber elasticity: A review , 2000 .

[10]  Michael S Sacks,et al.  Incorporation of experimentally-derived fiber orientation into a structural constitutive model for planar collagenous tissues. , 2003, Journal of biomechanical engineering.

[11]  R. E. Clark,et al.  Stress-strain characteristics of fresh and frozen human aortic and mitral leaflets and chordae tendineae. Implications for clinical use. , 1973, The Journal of thoracic and cardiovascular surgery.

[12]  R P Vito,et al.  Two-dimensional stress-strain relationship for canine pericardium. , 1990, Journal of biomechanical engineering.

[13]  J. Weiss,et al.  Finite element implementation of incompressible, transversely isotropic hyperelasticity , 1996 .

[14]  Y. Lanir Constitutive equations for fibrous connective tissues. , 1983, Journal of biomechanics.

[15]  J D Humphrey,et al.  Biomechanical experiments on excised myocardium: theoretical considerations. , 1989, Journal of biomechanics.

[16]  Jeffrey E. Bischoff,et al.  A microstructurally based orthotropic hyperelastic constitutive law , 2002 .

[17]  N. Broom,et al.  Simultaneous morphological and stress-strain studies of the fibrous components in wet heart valve leaflet tissue. , 1978, Connective tissue research.

[18]  Y. Fung,et al.  The stress-strain relationship for the skin. , 1976, Journal of biomechanics.

[19]  J. Humphrey,et al.  Determination of a constitutive relation for passive myocardium: II. Parameter estimation. , 1990, Journal of biomechanical engineering.

[20]  F. Yin,et al.  Biaxial mechanical behavior of excised porcine mitral valve leaflets. , 1995, The American journal of physiology.

[21]  J. Humphrey,et al.  On constitutive relations and finite deformations of passive cardiac tissue: I. A pseudostrain-energy function. , 1987, Journal of biomechanical engineering.

[22]  Gerhard A. Holzapfel,et al.  Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science , 2000 .

[23]  F. Yin,et al.  A constitutive law for mitral valve tissue. , 1998, Journal of biomechanical engineering.

[24]  X. Luo,et al.  A nonlinear anisotropic model for porcine aortic heart valves. , 2001, Journal of biomechanics.

[25]  I Vesely,et al.  Micromechanics of the fibrosa and the ventricularis in aortic valve leaflets. , 1992, Journal of biomechanics.