Modelling cardiac mechanical properties in three dimensions

Costa, Kevin D.; Holmes, Jeffrey W.; McCulloch, Andrew D.

doi:10.1098/rsta.2001.0828

Cited by 248 publications

(238 citation statements)

References 64 publications

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“…Humphrey & Yin 1987;Humphrey et al 1990;Guccione et al 1991;Costa et al 1996) and, more recently, orthotropic models (e.g. Hunter et al 1997;Costa et al 2001;Schmid et al 2006). We review these and several others briefly in §4.…”

Section: Introductionmentioning

confidence: 99%

Constitutive modelling of passive myocardium: a structurally based framework for material characterization

Holzapfel

Ogden

2009

Phil. Trans. R. Soc. A.

662

835

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In this paper, we first of all review the morphology and structure of the myocardium and discuss the main features of the mechanical response of passive myocardium tissue, which is an orthotropic material. Locally within the architecture of the myocardium three mutually orthogonal directions can be identified, forming planes with distinct material responses. We treat the left ventricular myocardium as a non-homogeneous, thick-walled, nonlinearly elastic and incompressible material and develop a general theoretical framework based on invariants associated with the three directions. Within this framework we review existing constitutive models and then develop a structurally based model that accounts for the muscle fibre direction and the myocyte sheet structure. The model is applied to simple shear and biaxial deformations and a specific form fitted to the existing (and somewhat limited) experimental data, emphasizing the orthotropy and the limitations of biaxial tests. The need for additional data is highlighted. A brief discussion of issues of convexity of the model and related matters concludes the paper.

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Section: Introductionmentioning

confidence: 99%

Constitutive modelling of passive myocardium: a structurally based framework for material characterization

Holzapfel

Ogden

2009

Phil. Trans. R. Soc. A.

662

835

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“…The resulting biaxial mechanical properties of the tissue also changed drastically. Since material anisotropy is considered essential for normal function of the heart and other load-bearing tissues 5,6,10,12,22 the potential for such rapid and extensive remodeling has important implications for the in vitro design of living tissue substitutes.…”

Section: Introductionmentioning

confidence: 99%

Remodeling of Engineered Tissue Anisotropy in Response to Altered Loading Conditions

2008

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Structural and mechanical anisotropy are critical to the function of many engineered tissues. This study examined the ability of anisotropic tissue constructs to overcome contact guidance cues and remodel in response to altered mechanical loading conditions. Square tissues engineered from dermal fibroblasts and type-I collagen were uniaxially loaded to induce cell and matrix alignment. After an initial time, t*, of 5 to 72 hrs, loading was switched from the x-axis to the y-axis. Cell alignment was examined throughout the experiment until a steady state was reached. Before t*, cells spontaneously aligned in the x-direction. After t*, the strength of alignment transiently decreased then increased, and mean cell orientation transitioned from the x-to the y-direction following an exponential time course with a time constant that increased with t*. Collagen fiber orientation exhibited similar trends that could not be explained by passive kinematics alone. Structural realignment resulted in concomitant changes in biaxial tissue mechanical properties. The findings suggest that even highly aligned engineered tissue constructs retain the capacity to remodel in response to altered mechanical stimuli. This may have important functional consequences when an anisotropic engineered tissue designed in vitro is surgically implanted into a mechanically complex graft site.

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“…Among the possible causes, the differences in the cardiac fiber architecture could be an promising topic. The heart is composed of myocardial fibers organized in a complex laminar structure [18,10], and the cardiac fiber structures have an important role in electrophysiology [8], in mechanical functions [4], and in remodeling [23] of the heart. Changes in the fiber structures are for instance inherent in myocardial hypertrophy [9,19,6].…”

Section: Introductionmentioning

confidence: 99%

Statistical Atlas of Human Cardiac Fibers: Comparison with Abnormal Hearts

Lombaert

Peyrat

Fanton

et al. 2012

Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges

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Abstract. Criteria of normality of the cardiac fibers are important in cardiomyopathies. In this paper, we investigate the differences in the cardiac fiber structures between 10 hearts classified as healthy and 6 hearts classified as abnormal, and determine if properties of the cardiac fiber structures can be discriminants for abnormality. We compare the variability of the fiber directions from abnormal hearts to an atlas of healthy hearts. The human atlas of the cardiac fiber structures is built with an automated framework based on symmetric Log-domain diffeomorphic demons. We study the angular variability of the different fiber structures. Our preliminary results might suggest that a higher variability of the fiber structure directions could possibly characterize abnormality of a heart.

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Modelling cardiac mechanical properties in three dimensions

Cited by 248 publications

References 64 publications

Constitutive modelling of passive myocardium: a structurally based framework for material characterization

Constitutive modelling of passive myocardium: a structurally based framework for material characterization

Remodeling of Engineered Tissue Anisotropy in Response to Altered Loading Conditions

Statistical Atlas of Human Cardiac Fibers: Comparison with Abnormal Hearts

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