Dr.-Ing. Jonas Biehler

Contact

Research Interests

Teaching

Articles in Peer-Reviewed International Journals

Biehler, J., Mäck, M., Nitzler, J., Hanss, M., Koutsourelakis, P-S., Wall, W. A., (2019) Multi-Fidelity Approaches for Uncertainty Quantification, Surveys for Applied Mathematics and Mechanics - GAMM Mitteilungen, 42, e201900008.

Pivovarov, D., Willner, K., Steinmann, P., Brumme, S., Müller, M., Srisupattarawanit, T., Ostermeyer, G.-P., Henning, C., Ricken, T., Kastian S., Reese, S., Moser D., Grasedyck L., Biehler, J., Pfaller, M., Wall, W. A., Kolsche, T., v. Estorff, O., Gruhlke, R., Eigel, M., Ehre, M., Papaioannou, I., Straub, D., Leyendecker, S., (2019) Challenges of order reduction techniques for problems involving polymorphic uncertainty, Surveys for Applied Mathematics and Mechanics - GAMM Mitteilungen, 42, e201900011.

Biehler, J., and W. A. Wall. (2017) The impact of personalized probabilistic wall thickness models on peak wall stress in abdominal aortic aneurysms. International journal for numerical methods in biomedical engineering, doi:10.1002/cnm.2922.

Biehler. J., Kehl, S., Gee, M.W., Tanios, F., Pelisek, J. Maier, A., Reeps, C., Eckstein, HH., Wall, W.A., (2015): Probabilistic Noninvasive Prediction of Wall Properties of Abdominal Aortic Aneurysms Using Bayesian Regression, Biomechanics and Modeling in Mechanobiology, doi:10.1007/s10237-016-0801-6

Tanios, F., Gee, M.W., Pelisek, J., Kehl, S., Biehler, J., Grabher-Meier, V., Wall, W.A., Eckstein, HH., Reeps, C., (2015): Interaction of Biomechanics with Extracellular Matrix Components in Abdominal Aortic Aneurysm Wall, European Journal of Vascular and Endovascular Surgery, doi:10.1016/j.ejvs.2015.03.021

Heyden, S., Nagler, A., Bertoglio, C., Biehler, J., Gee, M.W, Wall, W.A., Ortiz, M., (2015), Material modeling of cardiac valve tissue: Experiments, constitutive analysis and numerical investigation, Journal of Biomechanics, doi:10.1016/j.jbiomech.2015.10.043

Reeps, C., Kehl, S., Tanios, F., Biehler, J., Pelisek, J., Wall, W.A., Eckstein, HH., Gee, M.W., (2014): Biomechanics and Gene Expression in Abdominal Aortic Aneurysm, Journal of Vascular Surgery, doi:10.1016/j.jvs.2014.08.076.

Biehler, J., Gee, M.W., Wall, W.A., (2014): Towards Efficient Uncertainty Quantification in Complex and Large Scale Biomechanical Problems Using Approximate Models and Bayesian Formulations, Biomechanics and Modeling in Mechanobiology, doi:10.1007/s10237-014-0618-0.

PhD Thesis

Selected Presentations

Wall, W.A., Biehler, J. (2016): Bayesian Multi-Fidelity Monte Carlo for UQ with Large-Scale Models, SIAM Conference on Uncertainty Quantification, April 5-8, 2016, Lausanne, Switzerland

Biehler J. Gee, M.W., Wall, W. A. (2015): Uncertainty Quantification for Complex Biomechanical Problems and its Impact on Peak Wall Stress Predictions of Aortic Aneurysms, 4th International Conference on Computational and Mathematical Biomedical Engineering CMBE, June 29 - July 1, 2015, Cachan, France

Biehler J. Gee, M.W., Wall, W.A. (2014): Coping with Parametric Uncertainty in the Computational Assessment of AAA Rupture Risk, 4th Munich Aortic & Carotid Conference MAC, December 5-6, 2014, Munich, Germany

Biehler J., Gee, M.W., Wall, W.A. (2014): A Novel Approach for Uncertainty Quantification in Patient-Specific Cardiovascular Mechanics, 11th World Conference on Computational Mechanics WCCM, July 20-25, 2014, Barcelona, Spain

Gee, M.W., Biehler, J., Wall, W.A. (2013): Efficient Uncertainty Quantification in Patient Specific Vascular Material Models, 3rd, International Conference on Computational & Mathematical Biomedical Engineering CMBE2013, December 2013, Hong Kong

Biehler J., Gee, M. W., Wall, W.A. (2013): Using Multi-Resolution Monte Carlo and Non-parametric Bayesian Regression for Efficient Uncertainty Quantification in Patient-specific Models of Abdominal Aortic Aneurysms, IUTAM Symposium on Multiscale Modeling and Uncertainty Quantification of Materials and Structures, September 9-11, 2013, Santorini Islands, Greece

Biehler J., Gee, M.W., Wall, W. A. (2013): Efficient Uncertainty Quantification in Complex and Large Scale Cardiovascular Biomechanical Problems, 2nd European Trilinos User Group Meeting, June 3-5, 2013, Garching, Germany

Biehler J., Gee, M.W., Wall, W. A. (2013): Uncertainty Quantification in Computational Cardiovascular Mechanics Based on Bayesian Surrogate Models, 8th international Symposium on Biomechanics in Vascular Biology and Cardiovascular Disease, April 18-19 2013, Rotterdam, Netherlands

Biehler J., Gee, M.W., Wall, W. A. (2012): Uncertainty Quantification in Patient Specific Assessment of AAA Rupture Risk, ESMC, July 9-13, 2012, Graz, Austria

Supervised student projects / theses

Modelling and Simulation of Underground Strata Formation
Inverse Analysis of Biaxial Tensile Experiments for Soft Biological Tissue based on a Finite Element Model
Deep Neural Networks as Surrogate Models for Uncertainty Quantification in Engineering Simulations
Multi-Level Monte Carlo Schemes for Uncertainty Quantification
Global Sensitivity Analysis Based on Sobol Indices and Elementary Effects
Development of a coupled multi-physics simulation model for heat exchangers
Modeling and Simulation of Mechanical Effects Inside All-Solid-State Batteries
Development of a Novel Batch-Sequential Experimental Design Technique for Uncertainty Quantification
Uncertainty Quantification for Computational Models of the Human Respiratory System
Variational Bayesian Formulations for the Probabilistic Solution of Nonlinear Inverse Problems
Determination of Optimal Sampling Points in Multi-Fidelity Uncertainty Quantification Scheme Using an Active Learning Approach
Experimental and Numerical Analysis of the Constitutive Behavior of Nonlinear Anisotropic Polymer Membranes
Biaxiale Messung der mechanischen Eigenschaften von Schweineaorten
Development and Implementation of Derivative Free Optimization Methods for Inverse Problems
Development and Validation of Novel Clamping Methods for Biaxial Testing of Small Tissue Specimens