| Numerical simulation of blood flows through a porous interface (M.A. Fernandez et al.) |
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Mathematical models and computational methods are gaining
much attention in medicine and biology. This highlight paper
represents an excellent example in which advanced mathematical methods
are applied to the study of a problem of medical and engineering relevance;
i.e., the treatment of cerebral
aneurysms. In particular, the authors apply mathematical homogenization to
develop a model of blood flow through a sieve of metallic wires, which is
applied in practice to prevent the rupture of aneurysms. This yields in
the governing equations of blood flow a new term accounting for
the sieve. An ad-hoc stabilized
finite element discretization is then proposed and analyzed. Numerical
experiments show that the computational method correctly captures the
behavior of the sieve. This approach is used for the comparison of
different treatment configurations in the frame of realistic models of
cerebral aneurysms.
Alfio Quarteroni,
Numerical simulation of blood flows through a porous interface
ESAIM: M2AN 42 (2008) 961-990
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