Research Areas
Computational Mathematics
Mathematical Modelling of Atherosclerotic Plaque Formation
Most vascular pathologies arise from atherosclerosis. Atherogenesis is an inflammatory process mainly triggered by low-density lipoproteins entering the intimal layer of arteries. This phenomenon in turn is regionally related to a blood flow dependent change in endothelial shear stress. We aim at numerical modeling of atherogenesis based on multiparametric imaging data of vessel architecture, blood flow and vascular inflammation. Simulation-based characterisation of the dependence of plaque formation on critical parameters should finally support our understanding of plaque development.
Discontinuous Galerkin Methods
DUNE (Distributed and Unified Numerics Environment)
CV
Education
- Doctoral studies (Mathematics)
- Mathematics (diploma), minor: Computer Sciences
- bachelor Mathematics/Computer Sciences
- Mathematics (diploma), minor: Computer Sciences
Positions
Projects
- CRC 656 B07 - Mathematical Modelling of Atherosclerotic Plaque Formation Based on Data from Multiparametric Imaging ( – )
Subproject in DFG-joint project hosted at University of Münster: DFG - Collaborative Research Centre - AdaptHydroMod – Co-operative Project "Adaptive hydrological modeling with application in water resource management", Sub-project "Multi-scale modelling and system reduction for ground water flow" ( – )
Participation in BMBF-joint project: Federal Ministry of Education and Research | Project Number: 03OMPAF1
- CRC 656 B07 - Mathematical Modelling of Atherosclerotic Plaque Formation Based on Data from Multiparametric Imaging ( – )
Publications
- . . ‘The DUNE-FEM-DG module.’ Archive of Numerical Software 5, No. 1: 21––61. doi: 10.11588/ans.2017.1.28602.
- . . ‘Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes.’ In Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, edited by , 617–625.: Springer International Publishing. doi: 10.1007/978-3-319-05591-6_61.
Talks
- Girke, Stefan (): ‘Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes’. SIAM Conference on the Life Sciences, Boston, .
- Malkmus, Tobias; Girke, Stefan (): ‘The Dune-Fem-DG module – towards a unified multiphysics framework –’. PDESoft 2016, Warwick, .
- Stefan Girke (): ‘Mathematical Modeling and Simulation of Atherosclerotic Plaque Formation.’ Skiseminar, Kleinwalsertal, .
- Girke, Stefan (): ‘Efficient Numerical Modeling of Atherosclerotic Plaque Formation’. Molecular Imaging School - MIS 2015, Wien, .
- Girke, Stefan (): ‘Atherosclerosis, Multiphysics and DUNE-FEM-DG’. Dune User Meeting 2015, Heidelberg, .
- Girke, Stefan (): ‘Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes’. I.R.I.S., Bergen, .
- Girke, Stefan (): ‘Mathematical Modeling and Simulation of Atherosclerotic Plaque Formation’. Skiseminar 2015, Kleinwalsertal, .
- Girke, Stefan (): ‘Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes ’. The International Symposium of Finite Volumes for Complex Applications VII , Berlin, .
- Girke, Stefan (): ‘Modelling of atherosclerotic plaque formation using the software framework DUNE’. Inflammation et résistance aux thérapies, Lyon, .
- Girke, Stefan (): ‘Mathematical modelling of atherosclerotic plaque formation’. Dune User Meeting 2013, Aachen, .
- Girke, Stefan (): ‘Unified software framework for hybridized discretization methods’. PDESoft 2012, Münster, .
Stefan Wierling
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)
Teaching
Summer Term 2015
Summer Term 2014
Summer Term 2013
Praktikum Wissenschaftliches Rechnen
Winter Term 2012/13
Praktikum Wissenschaftliches Rechnen
Summer Term 2012
Software
Own modules and projects with active collaboration
DUNE-Fem-Localfunctions
A Module for using DUNE-Localfunctions in DUNE-FEM Project page
DUNE-Hybridfem
A Module for using Hybridized Discontinuous Galerkin Methods Project page
DUNE-Fem-DG
A Module for using Higher Order Discontinuous Galerkin Methods Project page
DUNE-Fem-Blood
A Module for using Hybridized Discontinuous Galerkin Methods Project page
Miscellaneous
Atherosclerosis
Inflammation process of Atherosclerosis (2D Simulation, 3D Simulation)
Further Projects
Mathematics and Computer Sciences always have been my passion.
As pupil, I developed for the university project lernserver - indivuelle Rechtschreibförderung the central diagnosis component of a individual spelling support. The C++ (and Visual Basic.Net) programm is still in use to reliably classify single words containing a high number of spelling mistakes (e.g. five). Results from commercial products have been outperformed.