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Title: Mathematical modelling of mass transport in large arteries
Author: Sun, Nanfeng
ISNI:       0000 0001 3490 5594
Awarding Body: Imperial College London
Current Institution: Imperial College London
Date of Award: 2008
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Atherosclerosis is a major cause of morbidity and mortality in the western world. The focal depletion of oxygen and accumulation of macromolecules are believed to initiate, accelerate and complicate the development of atherosclerosis. However, species concentrations in vessel walls are difficult to measure in vivo non-invasively. Therefore, it is essential to obtain detailed concentration profiles of atherogenic molecules to gain further understanding of the mass transfer mechanisms within arterial walls. In the present study, comprehensive mathematical models describing species transport in large arteries are developed and presented. Existing mathematical models are reviewed and reconciled. A fluid phase model, a single-layered and a multilayered fluid-wall models are employed to simulate the mass transfer processes in proatherosclerotic arteries. Since trans-endothelial transport is considered to be an important sub-process in the system and is dependent on wall shear stress (WSS) imposed on the endothelial surface, shear-dependent transport properties are derived from relevant experimental data in the literature. A novel approach, which exploits the optimisation theory, is proposed and used to determine model parameters based on the experimental data. Furthermore, numerical schemes to accommodate the effects of pulsatile flow on lipid transport in the arterial wall are presented in the thesis. Mathematical models and numerical schemes are tested and compared using idealised computational geometries. Then the models are applied to realistic geometries to investigate: 1) oxygen transport in a normal human abdominal aorta and an abdominal aortic aneurysm (AAA) with intralumenal thrombus (ILT); 2) macromolecular transport in a mildly stenosed human right coronary artery (RCA). Based on the model predictions, mechanisms inducing hypoxia and macromolecular accumulation are discussed in depth.
Supervisor: Xu, Xiao Yun Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral