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A Mathematical Approach in the Design of Arterial Bypass Using Unsteady Stokes Equations |
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| Authors: | Valery Agoshkov Alfio Quarteroni Gianluigi Rozza |
| Affiliation: | (1) Institute of Numerical Mathematics, Russian Academy of Sciences, 119991, GSP-1, Moscow, Russia;(2) Chair of Modelling and Scientific Computing (CMCS), école Polytechnique Fédérale de Lausanne (EPFL), Station 8, CH-1015 Lausanne, Switzerland;(3) MOX, Dipartimento di Matematica “Francesco Brioschi”, Politecnico di Milano, 20133 Milano, Italy |
| 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.Dedicated to David Gottlieb on the occasion of his 60th birthdayValery Agoshkov: This work has been prepared when the first author was a visiting professor at Institut d’Analyse et Calcul Scientifique of the école Polytechnique Fédérale de Lausanne |
| Keywords: | Optimal control shape optimization small perturbation theory finite elements unsteady Stokes equations haemodynamics aorto-coronaric bypass anastomoses design of improved medical devices |
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