Modellierung, schnelle Simulation und Optimierung von Blutströmungen mit Materialschädigung

Project leaders
Dr. Dominik Meidner, Technische Universität München, Germany
Prof. Dr. Thomas Richter Pfeil, Universität Magdeburg,Germany
Prof. Dr. Stefan Turek Pfeil, Technische Universität Dortmund, Germany
Prof. Dr. Boris Vexler, Technische Universität München, Germany
Dr. Vladimir Matoussevitch Pfeil, Uniklinik Köln, Germany

Project staff
Dr. Lukas Failer, Technische Universität München, Deutschland
Dr. Abderrahim Ouazzi Pfeil, Technische Universität Dortmund, Deutschland
Dr. Piotr Minakowski Pfeil, Universität Magdeburg, Deutschland

Project partner
abmedica Deutschland Pfeil
Spectranetics Deutschland Pfeil
C. R.Bard Pfeil

Further Industrial colloboration

Project description
The aim of the research project is the development of efficient numerical methods to model, simulate and control the complex flow behavior in blood vessels considering active material change, damage, and growth. Thereby we analyze the hemodynamical effects of the challenging prototypical and very complex example of an arterial shunt of the arteria brachialis and the vena cephalica to prepare dialysis treatment. The procedure extremely changes the flow behavior in the blood vessels and increases the flow rate up to 10 times. The result of all this can be the damage of the vessel or the development of a sentosis. The focus of the project will be on the vena cephalic, and the development and treatment of the the cephalic arch stenosis(CAS), which occurrence depends on patient specific situation. Together with the industrial partners ab medica, Spetranetics and C.R. Bard the primal goal of the project is the development of personalized products using patient specific simulations. We analyze techniques to control the flow, for example through a stent to encourage a positive development of the disease.

Key words
fluid-strukture interaction, optimal control, blood flow

Field of work
Applied Mathematics, Numerical Mathematics und inverse problems


Lukas Failer, Thomas Richter:
A Newton multigrid framework for optimal control of fluid-structure interactions
Optimization and Engineering, 22, pp. 2009-2037, 2021. (doi:10.1007/s11081-020-09498-8)
Lukas Failer, Thomas Wick:
Adaptive Time-Step Control for Nonlinear Fluid-Structure Interaction
Journal of Computational Physics 366, pp. 448-477, 2018. (doi:10.1016/
Lukas Failer, Dominik Meidner, Boris Vexler:
Optimal Control of a Linear Unsteady Fluid-Structure Interaction Problem
Journal of Optimization Theory and Applications, 170(1), pp. 1-27, 2016. (doi:10.1007/s10957-016-0930-1)

International Symposium on Modeling, Simulation and Optimization of the Cardiovascular System Pfeil, Lukasklause in Magdeburg from October 22 to October 24, 2018.
International Symposium on Simulation and Optimization of Extreme Fluids Pfeil, Internationales Wissenschaftsforum (IWH) in Heidelberg from November 10 to November 12, 2014.
Winter School on Simulation and Optimization of Extreme Fluids Pfeil ,Interdisciplinary Center for Scientific Computing (IWR) in Heidelberg from November 13 to November 14, 2014.

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