A Review of Atherosclerosis and Mathematical Transport Models

The mechanisms and definitive predictive components involved within the clinical initiation and formation of atherosclerosis remain elusive as of yet. Over the years, established fluid and mass transport theories and experimentally agreed upon vasoactive agents have contributed towards a boom of predictive mathematical models concerning atherogenesis. This paper aims to elucidate currently utilized theories available regarding initiation of atherosclerotic proliferation and provide a brief review of available mathematical transport phenomenon models which utilize these theories.

[1]  Paolo Zunino,et al.  Mathematical and numerical modeling of mass transfer in the vascular system , 2002 .

[2]  Kambiz Vafai,et al.  Modeling of low-density lipoprotein (LDL) transport in the artery—effects of hypertension , 2006 .

[3]  A. Hazel,et al.  Spatial comparison between wall shear stress measures and porcine arterial endothelial permeability. , 2004, American journal of physiology. Heart and circulatory physiology.

[4]  John G. Hagedorn,et al.  Multiscale modeling of fluid transport in heterogeneous materials using discrete Boltzmann methods , 2002 .

[5]  Gerhard Rappitsch,et al.  Numerical modelling of shear-dependent mass transfer in large arteries , 1997 .

[6]  C. R. Ethier,et al.  Computational Modeling of Mass Transfer and Links to Atherosclerosis , 2002, Annals of Biomedical Engineering.

[7]  R. Ross The Gordon Wilson Lecture: atherosclerosis--a response to injury gone awry. , 1982, Transactions of the American Clinical and Climatological Association.

[8]  Alfio Quarteroni,et al.  Cardiovascular mathematics : modeling and simulation of the circulatory system , 2009 .

[9]  K Perktold,et al.  Mathematical and numerical models for transfer of low-density lipoproteins through the arterial walls: a new methodology for the model set up with applications to the study of disturbed lumenal flow. , 2005, Journal of biomechanics.

[10]  Alun D. Hughes,et al.  Fluid-Wall Modelling of Mass Transfer in an Axisymmetric Stenosis: Effects of Shear-Dependent Transport Properties , 2006, Annals of Biomedical Engineering.

[11]  Shigeru Tada,et al.  Internal elastic lamina affects the distribution of macromolecules in the arterial wall: a computational study. , 2004, American journal of physiology. Heart and circulatory physiology.

[12]  Vartan Kurtcuoglu,et al.  Patient-specific three-dimensional simulation of LDL accumulation in a human left coronary artery in its healthy and atherosclerotic states. , 2009, American journal of physiology. Heart and circulatory physiology.

[13]  E. Edelman,et al.  Role of endothelial shear stress in the natural history of coronary atherosclerosis and vascular remodeling: molecular, cellular, and vascular behavior. , 2007, Journal of the American College of Cardiology.

[14]  K Perktold,et al.  Effect of endothelial injury and increased blood pressure on albumin accumulation in the arterial wall: a numerical study. , 2000, Journal of biomechanics.

[15]  K. Khanafer,et al.  Macromolecular Transport in Arterial Walls: Current and Future Directions , 2008 .

[16]  K. Basford,et al.  Computational Simulations of the Immune System for Personalized Medicine: State of the Art and Challenges , 2008 .

[17]  E. Benditt,et al.  Evidence for a monoclonal origin of human atherosclerotic plaques. , 1973, Proceedings of the National Academy of Sciences of the United States of America.

[18]  Nicolas Meunier,et al.  Mathematical modelling of the atherosclerotic plaque formation , 2009 .

[19]  R. Ross,et al.  Rous-Whipple Award Lecture. Atherosclerosis: a defense mechanism gone awry. , 1993, The American journal of pathology.

[20]  Kambiz Vafai,et al.  The role of porous media in modeling flow and heat transfer in biological tissues , 2003 .

[21]  J A Sherratt,et al.  Lipoprotein oxidation and its significance for atherosclerosis: A mathematical approach , 2002, Bulletin of mathematical biology.

[22]  B. Osterud,et al.  Role of monocytes in atherogenesis. , 2003, Physiological reviews.

[23]  S. Wada,et al.  Theoretical study on flow-dependent concentration polarization of low density lipoproteins at the luminal surface of a straight artery. , 1999, Biorheology.