Porous medium finite element model of the beating left ventricle

Huyghe, Jmrj Jacques; Arts, Theo; Campen, D.H. van; Reneman, Robert S.

doi:10.1152/ajpheart.1992.262.4.h1256

Cited by 88 publications

(85 citation statements)

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“…In addition, this study shows the practical use of the DTI method in biomechanical research on skeletal muscle functioning. The finite element (FE) method, which has become familiar in biomechanical research on skeletal and cardiac muscle behaviour (Vankan et al 1991(Vankan et al , 1998Bovenderd et al 1992 ;Huyghe et al 1992), essentially makes use of geometric and spatial information. One major difficulty and time-consuming issue in such studies is to generate accurate FE meshes.…”

Section: mentioning

confidence: 99%

Diffusion tensor imaging in biomechanical studies of skeletal muscle function

et al. 1999

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In numerical simulations of skeletal muscle contractions, geometric information is of major importance. The aim of the present study was to determine whether the diffusion tensor imaging (DTI) technique is suitable to obtain valid input with regard to skeletal muscle fibre direction. The accuracy of the DTI method was therefore studied by comparison of DTI fibre directions in the rat tibialis anterior muscle with fascicle striation patterns visible on high-resolution magnetic resonance imaging (MRI) and with fibre directions in an actual longitudinal section (ALS) through the same muscle. The results showed an excellent qualitative agreement between high-resolution MRI and DTI. Despite less accurate quantitative comparison with ALS, it was concluded that DTI does indeed measure skeletal muscle fibre direction. After the experiment, it was possible to determine an appropriate voxel size (0n9 mm$) that provided enough resolution and acceptable accuracy (5m) to use DTI fibre directions in biomechanical analyses. Muscle deformation during contraction, resulting from a finite element simulation with a mesh that was directly generated from the experimental data, has been presented.

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Section: mentioning

confidence: 99%

Diffusion tensor imaging in biomechanical studies of skeletal muscle function

et al. 1999

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“…Because of the experimental limitations, mathematical models have been developed in helping to understand left ventricular mechanics (Arts et al, 1982;Beyar andSideman, 1984 Bovendeerd et al, 1992;Horowitz et al, 1986;Huyghe et al, 1992). In these models, the muscle fibers in the wall were assumed to be parallel to the endocardial and epicardial surfaces.…”

Section: Introductionmentioning

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%

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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“…We begin setting up the mathematical model by regarding the interstitium as an isotropic porous material, and describe the flow through the interstitium by Darcy's law (Scheidegger, 1963;Whitaker, 1986;Lowe & Barbenel, 1988;Bear, 1988;Huyghe, Arts, Van Campen, & Reneman, 1992), according to Equation 1:…”

Section: Mathematical Model Of Interstitial and Blood Flowsmentioning

confidence: 99%

<b>Characteristics of interstitial fluid flow along with blood flow inside a cylindrical tumor: a numerical simulation

2018

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ABSTRACT.A numerical simulation of interstitial fluid flow and blood flow is developed to a tissue containing a two-dimensional cylindrical tumor. The tumor is assumed to be a rigid porous medium with a necrotic core, interstitial fluid and two capillaries with an arterial pressure input and a venous pressure output. The interstitial fluid pressure, velocity, blood pressure as well as velocity are calculated using finite difference method. Results show that the interstitial pressure has a maximum value at the center of the tumor and decreases by moving toward the first capillary. The reduction continues between two capillaries, and interstitial pressure finally decreases in the direction of the tumor perimeter.Keywords: interstitial fluid, porous media, finite difference, blood, cylindrical tumor.Características do fluxo de fluido intersticial junto com o fluxo sanguíneo no interior de um tumor cilíndrico: uma simulação numérica RESUMO. Neste trabalho desenvolveu-se uma simulação numérica de fluxo de fluido intersticial e fluxo sanguíneo para um tecido contendo um tumor cilíndrico bidimensional. Considerou-se o tumor como um meio poroso rígido com núcleo necrótico, fluido intersticial e dois capilares com entrada de pressão arterial e saída de pressão venosa. A pressão do fluido intersticial, a velocidade, a pressão sanguínea e a velocidade foram calculadas usando o método da diferença finita. Os resultados mostraram que a pressão intersticial apresentou um valor máximo no centro do tumor e diminuiu movendo-se em direção ao primeiro capilar. Observou-se que a redução continua entre os dois capilares, e finalmente a pressão intersticial diminuiu na direção do perímetro do tumor.Palavras-chave: fluido intersticial, meio poroso, diferenças finitas, sangue, tumor cilíndrico.

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Porous medium finite element model of the beating left ventricle

Cited by 88 publications

References 0 publications

Diffusion tensor imaging in biomechanical studies of skeletal muscle function

Diffusion tensor imaging in biomechanical studies of skeletal muscle function

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

<b>Characteristics of interstitial fluid flow along with blood flow inside a cylindrical tumor: a numerical simulation

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