Reduced basis methods in orthopedic hip surgery planning (A-CH1)



Prof. Dr. Ralf Kornhuber

Dr. Stefan Zachow

Dr. Jonathan Youett

Financial support:

This research is carried out in the framework of Matheon supported by Einstein Foundation Berlin.


Jun 01, 2014 — May 31, 2017

This project aims at the development, analysis and implementation of algorithms for computer-assisted planning in hip surgery and hip joint replacement by fast virtual testing. Fast forward simulations of patient-specific motion of hip joints and implants in 3D shall be enabled by exploiting suitable a priori information. To this end, we will derive, analyze, and implement reduced basis methods for heterogeneous joint models (reduced approximation). An application of the joint model for an individualised femoroacetabular impingement analysis can be found here.

Clinical Partners: Prof. Dr. med. Wolfgang Ertel (Charité)

Internal Cooperations:

External Cooperations: Prof. Dr. Oliver Sander (TU Dresden), DUNE


Youett, J. and Sander, O. and Kornhuber, R. (2016) A globally convergent filter-trust-region method for large deformation contact problems. Preprint 1116, Matheon Berlin . (Submitted)

Wilson, D. and Bücher, P. and Grewe, C. and Mocanu V. and Anglin, C. and Zachow, S. and Dunbar, M. (2015): Validation of three dimensional models of the distal femur created from surgical navigation data. ORS Annual Meeting, Las Vegas, Nevada

Sander, O. and Klapproth, C. and Youett, J. and Kornhuber, R. and Deuflhard, P. (2013): Towards an efficient numerical simulation of complex 3D knee joint motion. Computing and Visualization in Science, 16 (3), pp. 119-138. ISSN 1432-9360.


05/09/2014: R. Kornhuber, Mathematical Tools for Orthopedic Surgery: Subspace correction, Finite Elements, Multilevel Monte-Carlo, Numerical Analysis Seminar, University of Bath, UK

08/20/2014: R. Kornhuber, Mathematical Tools for Biomechanical Simulations, 1st Joint and Implant Research (JIR) Workshop, Berlin

08/20/2014: S. Zachow, Overview of Joint and Implant Research at ZIB, 1st JIR Workshop, Berlin

08/20/2014: J. Youett, Reduced Basis Methods in Orthopedic Hip Surgery Planning, 1st JIR Workshop, Berlin

12/12/2014: S. Zachow, Computational Anatomy and Biomechanics for Orthopedic Research, Information Processing in Medical Interventions, Bern

11/23/2015: J. Youett, Reduced Basis Methods in Orthopedic Hip Surgery Planning , 2nd JIR Workshop, Berlin

11/26/2015: S. Zachow, Computational Anatomy - Anwendungen in der biomechanischen Forschung und Unfallchirurgie, Workshop Wissenschaft trifft Industrie, Julius-Wolff Institut Charité Berlin

03/10/2016: J. Youett, A Heterogeneous Joint Model to Support Orthopaedic Hip Surgery, Joint Annual Meeting of GAMM and DMV, Braunschweig

04/26/2016: J. Youett, Large Deformation Contact Problems: Modelling, Discretisation, Numerical Solution, Seminar Differential Equations, Dresden, Germany

02/07/2017: J. Youett, A heterogeneous finite element joint model to support orthopaedic hip surgery planning, 24th International Conference on Domain Decomposition Methods, Longyearbyen, Norway