2015 Bulletin of the Australian Mathematical Society  
Blood flow through a narrow arterial tube has been a classical mathematical problem dating back to the 1840s, after the pioneering experimental work conducted by Poiseuille [3] in 1836. However, numerical simulations of atherosclerosis only started to thrive in the 1990s, due to rapid advancement in computer technology. Many numerical models have been developed to study the behaviour of blood flow through a stenosed artery. There has been a steady progression in the complexity of the models,
more » ... y of the models, providing greater insight into different aspects of the biological process of atherosclerosis development. Such a process is, otherwise, extremely difficult to investigate experimentally. Some of the modelling complexities discussed in this thesis are: (1) the pulsatile non-Newtonian blood flow condition with a Casson fluid model describing the blood rheology; (2) the hyper-elastic artery wall governed by a neo-Hookean model for the wall material property; (3) the two-way fluid-structural interaction (FSI) method providing more realistic simulations by considering not only the impact of the locally restricted fluid flow on the artery wall, but also the influence of the wall deformation on the fluid flow behaviour; (4) a series of 3-D axis-asymmetric stenosis models with the severity level ranging from 45% to 79%; (5) plaque morphologies varying from an initial bi-elliptical cross-sectional profile to an elliptical and a growth-updated arbitrary profile during the course of a plaque growth;
doi:10.1017/s0004972715001082 fatcat:syywhf3livet3jpz2wvkv7s77q