Stress-modulated collagen fiber remodeling in a human carotid bifurcation.

This work concerns with the implementation of a new stress-driven remodeling model for simulating the overall structure and mechanical behavior of a human carotid bifurcation. By means of an iterative finite element based procedure collagen fiber direction and maximal principal stresses are computed. We find that the predicted fibers' architecture at the cylindrical branches and at the apex of the bifurcation correlates well with histological observations. Some insights about the mechanical response of the sinus bulb and the bifurcation apex are revealed and discussed. The results are compared with other, isotropic and orthotropic, models available in the literature.

[1]  G A Holzapfel,et al.  Stress-driven collagen fiber remodeling in arterial walls. , 2007, Biomechanics and modeling in mechanobiology.

[2]  R. Reneman,et al.  Different effects of ageing on elastic and muscular arterial bifurcations in men. , 1996, Journal of vascular research.

[3]  Gal deBotton,et al.  Neo-Hookean fiber-reinforced composites in finite elasticity , 2006 .

[4]  L A Taber,et al.  Theoretical study of stress-modulated growth in the aorta. , 1996, Journal of theoretical biology.

[5]  M. Epstein,et al.  Cardiovascular Solid Mechanics: Cells, Tissues, and Organs , 2002 .

[6]  M. Thubrikar,et al.  Pressure-induced arterial wall stress and atherosclerosis. , 1995, The Annals of thoracic surgery.

[7]  P. Canham,et al.  Collagen organization in the branching region of human brain arteries. , 1998, Stroke.

[8]  Johannes A. G. Rhodin,et al.  Architecture of the Vessel Wall , 1980 .

[9]  S C Cowin,et al.  How is a tissue built? , 2000, Journal of biomechanical engineering.

[10]  D. Giddens,et al.  Steady flow in a model of the human carotid bifurcation. Part I--flow visualization. , 1982, Journal of biomechanics.

[11]  Frank P T Baaijens,et al.  A structural constitutive model for collagenous cardiovascular tissues incorporating the angular fiber distribution. , 2005, Journal of biomechanical engineering.

[12]  G. deBotton,et al.  Out-of-plane shear deformation of a neo-Hookean fiber composite , 2006 .

[13]  H. Narayanan,et al.  Biological remodelling: Stationary energy, configurational change, internal variables and dissipation , 2005, q-bio/0506023.

[14]  Peter B. Canham,et al.  Collagen Biomechanics in Cerebral Arteries and Bifurcations Assessed by Polarizing Microscopy , 2003, Journal of Vascular Research.

[15]  D. Ku,et al.  Pulsatile Flow and Atherosclerosis in the Human Carotid Bifurcation: Positive Correlation between Plaque Location and Low and Oscillating Shear Stress , 1985, Arteriosclerosis.

[16]  P. Canham,et al.  Morphometry of Medial Gaps of Human Brain Artery Branches , 2004, Stroke.

[17]  R. T. Eppink,et al.  Pressure-induced mechanical stress in the carotid artery bifurcation: a possible correlation to atherosclerosis. , 1995, Journal of biomechanics.

[18]  Gerhard Sommer,et al.  Determination of layer-specific mechanical properties of human coronary arteries with nonatherosclerotic intimal thickening and related constitutive modeling. , 2005, American journal of physiology. Heart and circulatory physiology.

[19]  J D Humphrey,et al.  Stress-modulated growth, residual stress, and vascular heterogeneity. , 2001, Journal of biomechanical engineering.

[20]  Gerhard A Holzapfel,et al.  Comparison of a multi-layer structural model for arterial walls with a fung-type model, and issues of material stability. , 2004, Journal of biomechanical engineering.

[21]  R. Ogden,et al.  A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models , 2000 .

[22]  Gerhard Sommer,et al.  Layer-Specific 3D Residual Deformations of Human Aortas with Non-Atherosclerotic Intimal Thickening , 2007, Annals of Biomedical Engineering.

[23]  Andreas Menzel,et al.  Modelling of anisotropic growth in biological tissues , 2005 .

[24]  Gerhard A. Holzapfel,et al.  A Layer-Specific Three-Dimensional Model for the Simulation of Balloon Angioplasty using Magnetic Resonance Imaging and Mechanical Testing , 2002, Annals of Biomedical Engineering.

[25]  J. Humphrey,et al.  Elastodynamics and Arterial Wall Stress , 2002, Annals of Biomedical Engineering.

[26]  T Matsumoto,et al.  Mechanical and dimensional adaptation of rat aorta to hypertension. , 1994, Journal of biomechanical engineering.

[27]  P. Canham,et al.  Three-dimensional collagen organization of human brain arteries at different transmural pressures. , 1995, Journal of vascular research.

[28]  Gerhard A. Holzapfel,et al.  A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications , 2001 .

[29]  R. T. Eppink,et al.  Study of stress concentration in the walls of the bovine coronary arterial branch. , 1990, Journal of biomechanics.

[30]  L. Taber.  Biomechanics of Growth, Remodeling, and Morphogenesis , 1995 .

[31]  G. Holzapfel,et al.  How to incorporate collagen fiber orientations in an arterial bifurcation , 2005 .

[32]  A K Harris,et al.  Connective tissue morphogenesis by fibroblast traction. I. Tissue culture observations. , 1982, Developmental biology.

[33]  N. Stergiopulos,et al.  Residual strain effects on the stress field in a thick wall finite element model of the human carotid bifurcation. , 1996, Journal of biomechanics.

[34]  Arthur C. Guyton,et al.  Handbook of Physiology—The Cardiovascular System , 1985 .

[35]  O. Lopez-Pamies,et al.  On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations: II—Application to cylindrical fibers , 2006 .

[36]  J D Humphrey,et al.  A 2-D model of flow-induced alterations in the geometry, structure, and properties of carotid arteries. , 2004, Journal of biomechanical engineering.

[37]  G. Holzapfel,et al.  A structural model for the viscoelastic behavior of arterial walls: Continuum formulation and finite element analysis , 2002 .

[38]  Alexander Rachev,et al.  Remodeling of Arteries in Response to Changes in their Mechanical Environment , 2003 .

[39]  I. Ozolanta,et al.  Compliance of a Biocomposite Vascular Tissue in Longitudinal and Circumferential Directions as a Basis for Creating Artificial Substitutes , 2003 .

[40]  R. Ogden,et al.  Hyperelastic modelling of arterial layers with distributed collagen fibre orientations , 2006, Journal of The Royal Society Interface.

[41]  F P T Baaijens,et al.  A computational model for collagen fibre remodelling in the arterial wall. , 2004, Journal of theoretical biology.

[42]  M. H. Hamza,et al.  Proceedings of the IASTED International Conference on Biomechanics , 2003 .

[43]  Karl Grosh,et al.  Engineering of functional tendon. , 2004, Tissue engineering.

[44]  K. Grosh,et al.  Remodeling of biological tissue: Mechanically induced reorientation of a transversely isotropic chain network , 2004, q-bio/0411037.

[45]  Gerhard A. Holzapfel,et al.  Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science , 2000 .

[46]  Kozaburo Hayashi,et al.  A strain energy function for arteries accounting for wall composition and structure. , 2004, Journal of biomechanics.