A Mathematical Approach in the Design of Arterial Bypass Using Unsteady Stokes Equations

Authors:
Valery Agoshkov;Alfio Quarteroni;Gianluigi Rozza
Affiliations:
Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia 119991;Aff2 Aff3;Chair of Modelling and Scientific Computing (CMCS), École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland CH-1015
Venue:
Journal of Scientific Computing
Year:
2006

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Abstract

In this paper we present an approach for the study of Aorto-Coronaric bypass anastomoses configurations using unsteady Stokes equations. 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 (the toe) into the coronary according to several optimality criteria.