The constitutive behaviour of passive heart muscle tissue: A quasi-linear viscoelastic formulation

Huyghe, Jmrj Jacques; Campen, D.H. van; Arts, Theo; Heethaar, R.M.

doi:10.1016/0021-9290(91)90309-b

Cited by 78 publications

(33 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the model we neglected viscous properties of the passive tissue (Huyghe et al, 1991a), motion of the RESULTS intracoronary blood with respect to the solid (Huyghe et al, 1991b), and residual stresses and strains (Omens The change of the helix fiber angle in simulation and Fung, 1990). This simplification seems to be al-HELIX resulted in a stiffer passive ventricle, as comlowed because the stresses, associated with these pared to the reference situation, whereas ejected volproperties, are typically in the range of 1 kPa, which is ume was unchanged (Fig.…”

Section: Local Mechanicsmentioning

confidence: 99%

Influence of endocardial-epicardial crossover of muscle fibers on left ventricular wall mechanics

Bovendeerd

Huyghe

Arts

et al. 1994

Journal of Biomechanics

View full text Add to dashboard Cite

Abstract-The influence of variations of fiber direction on the distribution of stress and strain in the left ventricular wall was investigated using a finite element model to simulate the mechanics of the left ventricle. The commonly modelled helix fiber angle was defined as the angle between the local circumferential direction and the projection of the fiber path on the plane perpendicular to the local radial direction. In the present study, an additional angle, the transverse fiber angle, was used to model the continuous course of the muscle fibers between the inner and the outer layers of the ventricular wall. This angle was defined as the angle between the circumferential direction and the projection of the fiber path on the plane perpendicular to the local longitudinal direction.First, a reference simulation of left ventricular mechanics during a cardiac cycle was performed, in which the transverse angle was set to zero. Next, we performed two simulations in which the spatial distribution of either the transverse or the helix angle was varied with respect to the reference situation, the spatially averaged variations being about 3 and 14", respectively. The changes in fiber orientation hardly affected the pressure-volume relation of the ventricle, but significantly affected the spatial distribution of active muscle fiber stress (up to 50% change) and sarcomere length (up to 0

show abstract

Section: Local Mechanicsmentioning

confidence: 99%

Influence of endocardial-epicardial crossover of muscle fibers on left ventricular wall mechanics

Bovendeerd

Huyghe

Arts

et al. 1994

Journal of Biomechanics

View full text Add to dashboard Cite

show abstract

“…Intramuscular pressure, determined from experiments or estimated with simple models, is prescribed in these models. On the other hand, models describing the mechanical behaviour of muscle tissue have been developed (Bovendeerd et al, 1992, Horowitz et al, 1988, Huyghe et al, 1991a, which do not include a local description of blood perfusion.…”

Section: Introductionmentioning

confidence: 99%

Mechanical blood-tissue interaction in contracting muscles

Vankan

Huyghe

Donkelaar

et al. 1998

Journal of Biomechanics

View full text Add to dashboard Cite

A finite element (FE) model of blood perfused biological tissue has been developed. Blood perfusion is described by fluid flow through a series of 5 intercommunicating vascular compartments that are embedded in the tissue. Each compartment is characterized by a blood flow permeability tensor, blood volume fraction and vessel compliance. Local non-linear relationships between intra-extra vascular pressure difference and blood volume fraction, and between blood volume fraction and the permeability tensor, are included in the FE model. To test the implementation of these non-linear relations, FE results of blood perfusion in a piece of tissue that is subject to increased intramuscular pressure, are compared to results that are calculated with a lumped parameter (LP) model of blood perfusion. FE simulation of blood flow through a contracting rat calf muscle is performed. The FE model used in this simulation contains a transversely isotropic, non-linearly elastic description of deforming muscle tissue, in which local contraction stress is prescribed as a function of time. FE results of muscle tension, total arterial inflow and total venous outflow of the muscle during contraction, correspond to experimental results of an isometrically and tetanically contracting rat calf muscle.

show abstract

“…The seven material parameters have been estimated for intact canine ventricular myocardium at end-diastole, and are proposed to be C = 0.88 kPa, b ff = 18.5, b cc = b ss = 3.58, b fc = b fs = b cs = 2.8. The models of Huyghe et al (1991a), and Yang and Taber (1991), consider the contribution of extracellular fluid flow of the myocardium to the nonlinear viscoelastic and poroelastic behavior of the passive of myocardial tissue. Nash (1998), introduced a simple model of the fluid movement throughout the ventricular walls to account for regional myocardial compressibility via changes in vascular volume.…”

Section: Sheet Axismentioning

confidence: 99%

Computational Biomechanics of Soft Biological Tissue

Holzapfel

2004

Encyclopedia of Computational Mechanics

View full text Add to dashboard Cite

Computational biomechanics of soft biological tissue is increasing our ability to address multidisciplinary problems of academic, industrial, and clinical importance. This article reviews parts of our current knowledge of the biomechanics of soft biological tissue, such as the arterial wall, the heart wall with the heart valves, and the ligament, as well as some of the available computational methods used to analyze them. The inherent complexities of the biological microstructure and function of the respective soft tissue are reviewed briefly, research effort related to the constitutive modeling catalogued, and a representative constitutive model for each considered soft tissue discussed in more detail. An account of residual stresses and biological processes such as growth and remodeling is provided. Finally, a few three‐dimensional finite element models that attempt to explain the integrated function of the respective soft tissue in terms of geometry, structure, and material properties are emphasized.

show abstract

The constitutive behaviour of passive heart muscle tissue: A quasi-linear viscoelastic formulation

Cited by 78 publications

References 20 publications

Influence of endocardial-epicardial crossover of muscle fibers on left ventricular wall mechanics

Influence of endocardial-epicardial crossover of muscle fibers on left ventricular wall mechanics

Mechanical blood-tissue interaction in contracting muscles

Computational Biomechanics of Soft Biological Tissue

Contact Info

Product

Resources

About