Dependence of local left ventricular wall mechanics on myocardial fiber orientation: A model study

Bovendeerd, P.H.M.; Arts, Theo; Huyghe, Jmrj Jacques; Campen, D.H. van; Reneman, R. S.

doi:10.1016/0021-9290(92)90069-d

Cited by 199 publications

(132 citation statements)

References 27 publications

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“…Thus, this CVS model lies in the middle ground between pure phenomenological models, like the time-varying elastance, and more sophisticated 3D models for the ventricle [26,27]. The former can not inherently account for cardiac…”

Section: Parameter Adjustmentmentioning

confidence: 99%

Multiscale model of the human cardiovascular system: Description of heart failure and comparison of contractility indices

Kosta

Negroni

Lascano

et al. 2017

Mathematical Biosciences

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A multiscale model of the cardiovascular system is presented. Hemodynamics is described by a lumped parameter model, while heart contraction is described at the cellular scale. An electrophysiological model and a mechanical model were coupled and adjusted so that the pressure and volume of both ventricles are linked to the force and length of a halfsarcomere. Particular attention was paid to the extreme values of the sarcomere length, which must keep physiological values. This model is able to reproduce healthy behavior, preload variations experiments, and ventricular failure. It also allows to compare the relevance of standard cardiac contractility indices. This study shows that the theoretical gold standard for assessing cardiac contractility, namely the end-systolic elastance, is actually load-dependent and therefore not a reliable index of cardiac contractility.

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Section: Parameter Adjustmentmentioning

confidence: 99%

Multiscale model of the human cardiovascular system: Description of heart failure and comparison of contractility indices

Kosta

Negroni

Lascano

et al. 2017

Mathematical Biosciences

View full text Add to dashboard Cite

show abstract

“…The design of the numerical model has been described before (Bovendeerd, 1990;Bovendeerd et al 1992) and is recapitulated only briefly.…”

Section: Design Of the Numerical Model Of Left Ventricular Mechanicsmentioning

confidence: 99%

“…I), defined as the angle between the fiber direction and the local circumferential direction (Streeter, 1979). The transmural distribution of ahelix is an important determinant of the transmural distribution of ventricular wall stress (Arts et al, 1982;Huyghe et al, 1992;Bovendeerd et al, 1992). However, by quantifying fiber orientation by tlhslix alone, the anatomical finding, that myocardial fibers are wrapped between the subendocardial and subepicardial layers (Torrent-Guasp, 1973;Streeter, 1979;Streeter et al, 1978) is ignored.…”

Section: Introductionmentioning

confidence: 99%

“…The aim of the present study was to investigate the effect of changes in the spatial distribution of the transverse angle on the left ventricular wall mechanics, using a mathematical model (Bovendeerd, 1990, Bovendeerd et al, 1992. First, a reference simulation (REF) of a complete cardiac cycle was performed, in which the transverse angle was zero and the helix angle was chosen so that active muscle fiber stress was distributed approximately homogeneously across the ventricular wall (Bovendeerd et al, 1992).…”

Section: Introductionmentioning

confidence: 99%

“…First, a reference simulation (REF) of a complete cardiac cycle was performed, in which the transverse angle was zero and the helix angle was chosen so that active muscle fiber stress was distributed approximately homogeneously across the ventricular wall (Bovendeerd et al, 1992). In a second simulation (TRANS), a small (spatially averaged value 3") nonzero transverse angle was introduced.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Bovendeerd

Huyghe

Arts

et al. 1994

Journal of Biomechanics

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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

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An efficient algorithm to estimate material parameters of biphasic mixtures

Camp¹,

Oomens²,

Veldpaus³

et al. 1999

Int. J. Numer. Meth. Engng.

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SUMMARYThe paper describes an inverse numerical experimental method to determine material parameters for biological tissues. Measured "eld quantities are compared to calculated "eld quantities. The "eld equations are solved with the "nite element method, using an assumed constitutive model and estimations of the material parameters. The parameter estimates are improved iteratively by means of an algorithm that calls the "nite element program as a subroutine. The paper is focused on biological materials that can be described as biphasic mixtures. An e$cient recursive algorithm is presented. All parameters are determined on the basis of displacements and pressures measured at di!erent positions within the material at subsequent points in time. A pseudo-analytical approach is used to determine the sensitivity matrix. The algorithm has been tested in a simulation of an experiment on a mixture of a solid and a #uid. It appears that for this example an iterative loop to determine the material parameters requires no more than 30 per cent more CPU-time than one straightforward analysis of the problem.

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Dependence of local left ventricular wall mechanics on myocardial fiber orientation: A model study

Cited by 199 publications

References 27 publications

Multiscale model of the human cardiovascular system: Description of heart failure and comparison of contractility indices

Multiscale model of the human cardiovascular system: Description of heart failure and comparison of contractility indices

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

An efficient algorithm to estimate material parameters of biphasic mixtures

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