Optimal Control and Shape Optimization of Aorto-Coronaric Bypass
Code:
MOX 24
Title:
Optimal Control and Shape Optimization of Aorto-Coronaric Bypass
Date:
Monday 7th July 2003
Author(s):
Quarteroni, Alfio; Rozza, Gianluigi
Abstract:
In this paper we present a new approach in the study of
Aorto-Coronaric bypass anastomoses configurations. The theory of
optimal control based on adjoint formulation is applied in order
to optimize the shape of the zone of the incoming branch of the
bypass into the coronary.
The aim is to provide design indications in the perspective of
future development for prosthetic bypasses. With a reduced model
based on Stokes equations and a vorticity functional in the down
field zone of bypass, a Taylor like patch is found. A feedback
procedure with Navier-Stokes fluid model is proposed, based on the
analysis of wall shear stress and its related indexes such as OSI