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Description: |
The mathematical modelling and numerical simulation of the cardiovascular system is a very challenging task, due to its geometrical and functional complexity. Namely, in this lecture we address three main difficulties in this field. In particular, blood is a non-Newtonian shear-thinning fluid and that should be taken into account, specially in the presence of pathologies such as stenosis or aneurysms. Moreover, blood flow in arterires is characterized by the propagation of pressure waves, due to the interaction between blood and the arterial wall. Furthermore, the geometrical complexity of the arterial tree makes it necessary to truncate the 3D domain into specific regions of interest, where the systemic circulation needs to be accounted for. We consider generalized-Newtonian models for blood flow in 3D domains, coupled with a structure model for the artery wall, like for instance the 3D elasticity. We describe and study this fluid-structure interaction (FSI) coupling, providing and Energy estimate at the continuous level. We also discuss its numerical approximation, which is still a subject of active research. The systemic circulation is taken into account through reduced models, one-dimensional and zero-dimensional, coupled to the artificial boundaries of the 3D domain. The mathematical and numerical coupling of the 3D and reduced models is also analyzed.
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Date: |
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| Start Time: |
14:00 |
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Speaker: |
Alexandra Moura (IST, Lisboa)
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Institution: |
--
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Place: |
Room 5.4
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| Research Groups: |
-Numerical Analysis and Optimization
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See more:
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