A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis
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- Formaggia L., Nobile F., Quarteroni A. (2002) A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis. In: Babuška I., Ciarlet P.G., Miyoshi T. (eds) Mathematical Modeling and Numerical Simulation in Continuum Mechanics. Lecture Notes in Computational Science and Engineering, vol 19. Springer, Berlin, Heidelberg
We investigate a one dimensional model of blood flow in human arteries. In particular we consider the case when an abrupt variation of the mechanical characteristic of an artery is caused by the presence of a vascular prosthesis (e.g. a stent). The derivation of the model and the numerical scheme adopted for its solution are detailed. Numerical experiments show the effectiveness of the model for the problem at hand.
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