The EPSRC Liverpool Centre for Mathematics in Healthcare are holding a workshop on Thursday 2nd and Friday 3rd of February 2017 titled “Elastic deformation and dynamic response of aneurysm repairs: modelling and applications”.
Among many exciting topics its planned to discuss modelling of dynamic and static loads on abdominal aortic aneurysms treated by endovascular sealing. For practical purposes, it is important to identify forces and mechanisms, which may lead to separation and/or migration of the Nellix endoprosthesis in vivo. Mathematical models will be discussed for a real abdominal aortic aneurysm, based on an approach involving a system of partial differential equations and an advanced numerical scheme, that delivers valuable practical results. Eigenvalue analysis identifies vibration modes of the aneurysm KAAAb repair system, while the static analysis accounts for gravity and blood pressure, and identifies possible mechanisms which may be responsible for migration and separation of endobags within the repaired aneurysm sac. Full CT scan data is linked to an advanced three-dimensional ABAQUS code. The results provide constructive description of favourable and unfavourable conditions for endovascular sealing of AAAs. The workshop will also include presentations on other fundamental topics of mathematical modelling of biological systems and mechanics of biological tissues. It will stimulate a fruitful interaction between medical experts, applied mathematicians and engineers.
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