Open problems in computational vascular biomechanics: Hemodynamics and arterial wall mechanics

Taylor, Charles A.; Humphrey, Jay D.

doi:10.1016/j.cma.2009.02.004

Cited by 129 publications

(90 citation statements)

References 85 publications

(88 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The endothelium, which is the internal lining of the entire cardiovascular system, is uniquely positioned to be a sensor, responding and transducing these haemodynamic signals. Taken together, these results suggest, but do not prove, a role for mass transport in atherogenesis [13]. Furthermore, fatty streaks, the earliest detectable lesions in atherosclerosis, contain macrophagederived foam cells that differentiate from recruited blood monocytes.…”

Section: Introductionmentioning

confidence: 67%

Mathematical modelling of atheroma plaque formation and development in coronary arteries

Cilla

Peña

Martı́nez

2014

J. R. Soc. Interface.

114

View full text Add to dashboard Cite

Atherosclerosis is a vascular disease caused by inflammation of the arterial wall, which results in the accumulation of low-density lipoprotein (LDL) cholesterol, monocytes, macrophages and fat-laden foam cells at the place of the inflammation. This process is commonly referred to as plaque formation. The evolution of the atherosclerosis disease, and in particular the influence of wall shear stress on the growth of atherosclerotic plaques, is still a poorly understood phenomenon. This work presents a mathematical model to reproduce atheroma plaque growth in coronary arteries. This model uses the Navier-Stokes equations and Darcy's law for fluid dynamics, convectiondiffusion-reaction equations for modelling the mass balance in the lumen and intima, and the Kedem-Katchalsky equations for the interfacial coupling at membranes, i.e. endothelium. The volume flux and the solute flux across the interface between the fluid and the porous domains are governed by a three-pore model. The main species and substances which play a role in early atherosclerosis development have been considered in the model, i.e. LDL, oxidized LDL, monocytes, macrophages, foam cells, smooth muscle cells, cytokines and collagen. Furthermore, experimental data taken from the literature have been used in order to physiologically determine model parameters. The mathematical model has been implemented in a representative axisymmetric geometrical coronary artery model. The results show that the mathematical model is able to qualitatively capture the atheroma plaque development observed in the intima layer.

show abstract

Section: Introductionmentioning

confidence: 67%

Mathematical modelling of atheroma plaque formation and development in coronary arteries

Cilla

Peña

Martı́nez

2014

J. R. Soc. Interface.

114

View full text Add to dashboard Cite

show abstract

“…fluid-solid interactions. This inevitably requires a computational mechanics approach, as argued so eloquently by Taylor & Humphrey (2009). In this respect computational methods such as finite element methods have a key role to play in order to provide more realistic simulations of clinical interventions and patient-specific geometric modelling, which should also take account of the influence of the surrounding (perivascular) tissue with appropriate boundary conditions.…”

Section: Discussionmentioning

confidence: 99%

Constitutive modelling of arteries

2010

View full text Add to dashboard Cite

This review article is concerned with the mathematical modelling of the mechanical properties of the soft biological tissues that constitute the walls of arteries. Many important aspects of the mechanical behaviour of arterial tissue can be treated on the basis of elasticity theory, and the focus of the article is therefore on the constitutive modelling of the anisotropic and highly nonlinear elastic properties of the artery wall. The discussion focuses primarily on developments over the last decade based on the theory of deformation invariants, in particular invariants that in part capture structural aspects of the tissue, specifically the orientation of collagen fibres, the dispersion in the orientation, and the associated anisotropy of the material properties. The main features of the relevant theory are summarized briefly and particular forms of the elastic strain-energy function are discussed and then applied to an artery considered as a thickwalled circular cylindrical tube in order to illustrate its extension-inflation behaviour. The wide range of applications of the constitutive modelling framework to artery walls in both health and disease and to the other fibrous soft tissues is discussed in detail. Since the main modelling effort in the literature has been on the passive response of arteries, this is also the concern of the major part of this article. A section is nevertheless devoted to reviewing the limited literature within the continuum mechanics framework on the active response of artery walls, i.e. the mechanical behaviour associated with the activation of smooth muscle, a very important but also very challenging topic that requires substantial further development. A final section provides a brief summary of the current state of arterial wall mechanical modelling and points to key areas that need further modelling effort in order to improve understanding of the biomechanics and mechanobiology of arteries and other soft tissues, from the molecular, to the cellular, tissue and organ levels.

show abstract

“…In contrast, suitably validated computational models have the potential to predict all of these parameters and thus hold significant promise in advancing health care (Taylor and Humphrey, 2009). In particular they are a powerful means for understanding the musculoskeletal system (Erdemir et al, 2007, Marjoux et al, 1998 and are therefore used in diverse applications from impact biomechanics (Muggenthaler et al, 2008, Ivancic et al, 2007 to rehabilitation engineering (Linder-Ganz et al, 2008, Linder-Ganz et al, 2007, surgical simulation (Lim andDe, 2007, Audette et al, 2004) and soft tissue drug transport (Wu and Edelman, 2008).…”

Section: Introductionmentioning

confidence: 99%

The anisotropic mechanical behaviour of passive skeletal muscle tissue subjected to large tensile strain

Takaza

Moerman

Gindre

et al. 2013

Journal of the Mechanical Behavior of Biomedical Materials

130

View full text Add to dashboard Cite

The anisotropic mechanical behaviour of passive skeletal muscle tissue subjected to large tensile strain, Journal of the Mechanical Behavior of Biomedical Materials, http://dx.doi.org/10. 1016/j.jmbbm.2012.09.001 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. AbstractThe passive mechanical properties of muscle tissue are important for many biomechanics applications. However, significant gaps remain in our understanding of the three-dimensional tensile response of passive skeletal muscle tissue to applied loading. In particular, the nature of the anisotropy remains unclear and the response to loading at intermediate fibre directions and the Poisson's ratios in tension have not been reported. Accordingly, tensile tests were performed along and perpendicular to the muscle fibre direction as well as at 30, 45 and 60 degrees to the muscle fibre direction in samples of Longissimus dorsi muscle taken from freshly slaughtered pigs. Strain was measured using an optical non-contact method. The results show the transverse or cross fibre (TT') direction is broadly linear and is the stiffest (77kPa stress at a stretch of 1.1), but that failure occurs at low stretches (approximately λ = 1.15). In contrast the longitudinal or fibre direction (L) is nonlinear and much less stiff (10kPa stress at a stretch of 1.1) but failure occurs at higher stretches (approximately λ = 1.65). An almost sinusoidal variation in stress response was observed at intermediate angles. The following Poisson's ratios were measured: Ѵ LT = Ѵ LT' = 0.47, Ѵ TT' = 0.28 and Ѵ TL = 0.74. These observations have not been previously reported and they contribute significantly to our understanding of the three dimensional deformation response of skeletal muscle tissue.

show abstract

Open problems in computational vascular biomechanics: Hemodynamics and arterial wall mechanics

Cited by 129 publications

References 85 publications

Mathematical modelling of atheroma plaque formation and development in coronary arteries

Mathematical modelling of atheroma plaque formation and development in coronary arteries

Constitutive modelling of arteries

The anisotropic mechanical behaviour of passive skeletal muscle tissue subjected to large tensile strain

Contact Info

Product

Resources

About