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We propose a model for a medical device, called a stent, designed for
the treatment of cerebral aneurysms. The stent consists of a grid,
immersed in the blood flow and located at the inlet of the aneurysm.
It aims at promoting a clot within the aneurysm. The blood flow is
modelled by the incompressible Navier-Stokes equations and the stent
by a dissipative surface term. We propose a stabilized finite element
method for this model and we analyse its convergence in the case of
the Stokes...
We start from a mathematical model which describes the collective motion of bacteria taking into account the underlying biochemistry. This model was first introduced by Keller-Segel [13]. A new formulation of the system of partial differential equations is obtained by the introduction of a new variable (this new variable is similar to the quasi-Fermi level in the framework of semiconductor modelling). This new system of P.D.E. is approximated via a mixed finite element technique. The solution algorithm...
We start from a mathematical model which describes the collective motion
of bacteria taking into account the underlying biochemistry. This model
was first introduced by Keller-Segel [13].
A new formulation of the system of partial differential equations is
obtained by the introduction of a new variable (this new variable is similar
to the quasi-Fermi level in the framework of semiconductor modelling).
This new system of P.D.E. is approximated via a mixed finite element technique.
The solution...
We consider the mathematical modeling and numerical simulation of high throughput sorting of two different types of biological cells (type I and type II) by a biomedical micro-electro-mechanical system (BioMEMS) whose operating behavior relies on surface acoustic wave (SAW) manipulated fluid flow in a microchannel. The BioMEMS consists of a separation channel with three inflow channels for injection of the carrier fluid and the cells, two outflow channels for separation, and an interdigital transducer...
This work is devoted to the study of migraine with aura in the human brain. Following
[6], we class migraine as a propagation of a wave of depolarization through
the cells. The mathematical model used, based on a reaction-diffusion equation, is briefly
presented. The equation is considered in a duct containing a bend, in order to model one
of the numerous circumvolutions of the brain. For a wide set of parameters, one can
establish the existence...
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