PhD project

Computational Studies of Haemodynamic Properties in Arteriovenous Fistula and Peripheral Arteries

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Application deadline

28 February 2023

About the project

Understanding the haemodynamic properties in the coronary artery and renal dialysis venous access (DVA) in patients will help to improve the performance and longevity of renal DVA and coronary stent which underpins the life-supporting haemodialysis techniques. There is evidence that arterial flow patterns and wall shear stresses are related to the site and severity of arterial disease and the performance of an arteriovenous (AV) graft or fistulae. Hence, it is important to estimate haemodynamic properties such as flow patterns and wall shear stress distributions in the blood flow/arterial wall system. The objective of the study is to build up a mathematical-physical model for the interaction of the blood flow and artery vessel wall, called a fluid-structure (solid) interaction model. An accurate estimation of the mechanical property can help in diagnosis and disease treatment or health care and show the importance of the study of blood flow and artery mechanics in biomedical applications.

The study includes the following steps:

  1. The data collection from Ninewells Hospital is a major step of the project. The feasibility, reliability and validity of modelling and computational results can only be proved by comparing with the actual human blood flow data
  2. Develop proper mathematical models and their computational methods for the blood flow and its interaction with the fistulae and artery wall
  3. Characterise the flow patterns, wall stresses, geometries and other haemodynamic factors to assess their role in the haemodynamic behaviour of the flow-artery system
  4. Develop better implantable medical graft or fistulae and eventually influence plans of improving patient outcomes

How to apply


28 February 2023

  1. Email Professor Ping Lin ( to:
    • send a copy of your CV
    • discuss your potential application and any practicalities (e.g. suitable start date)
  2. After discussion with Professor Lin, formal applications can be made via our direct application system. Apply for the Doctor of Philosophy (PhD) degree in Mathematics.
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Principal supervisor

Second supervisor