CRU 208 project
Member of Clinical Research Unit 208:
Aetiology and Sequelae of Periodontal Diseases - Genetic, Cell Biological and Biomechanical Aspects
Project TP05:
Development of mathematical models and efficient algorithms to simulate the loading conditions of the periodontium in dental biomechanics: clinical and experimental validation
PIs:Prof. Christoph Bourauel, Prof. Rolf Krause
The biomechanical behaviour of the periodontal ligament (PDL) is of crucial relevance for the transfer of the mechanical loading to the anatomical structures surrounding the teeth, i.e. alveolar bone, PDL and the mucosa covering the alveolar bone. Due to the complex structure of the PDL, a highly non-linear, anisotropic and time-dependent behaviour is to be assumed. Until now, a closed mathematical description of the biomechanical response of the tooth supporting system, covering the full range of short to long-term loading (chewing, clenching, orthodontic force system) could not be presented. It is the aim of the current proposal to 1.) develop a closed mathematical representation of the multiphase, time-dependent constitutive law of the PDL, 2.) develop robust and efficient discretisation techniques and parallel solution methods for the arising non-linear systems, 3.) apply these methods for biomechanical models of teeth and tooth supporting structures, and 4.) validate the developed models using experimental biomechanical results and clinical studies. Mathematical modelling and their efficient implementation on a parallel cluster-server will be carried out at the Institute for Numerical Simulation. Experimental and clinical work will be carried out at the Endowed Chair of Oral Technology in collaboration with the clinical departments of the Dental School.
Publications
Book chapters
Alfio Grillo, Chiara Giverso, Marco Favino, Rolf Krause, Michael Lampe, Gabriel Wittum, Mass transport in porous media with variable mass, Numerical Analysis of Heat and Mass Transfer in Porous Media, Numerical Analysis of Heat and Mass Transfer in Porous Media (2012)
Peer-reviewed publications
Sander Land, Marco Favino, et al., Veri cation of cardiac mechanics software: benchmark problems and solutions for testing active and passive material behaviour, PROCEEDINGS OF ROYAL SOCIETY A (2015)
Christoph Bourauel, Marco Favino, Rolf Krause, A Nonlinear Poroelastic Model for the Periodontal Ligament, International Journal for Computational Methods in Engineering Science and Mechanics (2015)
L. Keilig, M. Drolshagen, K. L. Tran, I. Hasan, S. Reimann, J. Deschner, K. T. Brinkmann, R. Krause, M. Favino, C. Bourauel, In vivo measurements and numerical analysis of the biomechanical characteristics of the human periodontal ligament, Annals of Anatomy-Anatomischer Anzeiger (2015)
Marco Favino, Al o Grillo, Rolf Krause, A stability condition for the numerical simulation of poroelastic systems, Poromechanics V, Proceedings of the Fifth Biot Conference on Poromechanics (2013)
Marco Favino, Christian Gross, Marcel Drolshagen, Ludger Keilig, James Deschner, Christoph Bourauel, Rolf Krause, Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL, Computer methods in biomechanics and biomedical engineering (2013)
M Drolshagen, L Keilig, I Hasan, S Reimann, J Deschner, KT Brinkmann, R Krause, M Favino, C Bourauel, Development of a novel intraoral measurement device to determine the biomechanical characteristics of the human periodontal ligament, Journal of biomechanics (2011)
Proceedings
Marco Favino, Marcel Drolshagen, Christoph Bourauel, Rolf Krause, A Non-linear Biphasic Model for the Periodontal Ligament: Modeling and Simulation, Proocedings of CMBBE2012 conference (2012)
Marco Favino, Rolf Krause, Steiner Johannes, An efficient preconditioning strategy for Schur complements arising from biphasic models, Biomedical Engineering (2012)
Talks
2016
Staggered and monolithic solution strategies for electromechanics in the heart, 7ecm, Berlin (July)
Impact of Mechanical Deformation on Pseudo-ECGs: a Simulation Study, LATSIS SYMPOSIUM ETH ZURICH ON PERSONALIZED MEDICINE, Zurich (June)
A Novel Stability Condition for the Finite Element Discretization of Poroelasticity Model, ECCOMAS, Crete (June)
An accuracy condition for discrete poroelasticity system, Invited talk at Institute of Earth Science, Lausanne (May)
Linear and Non-Linear Domain Decomposition Methods for Coupled Problems, SIAM Conference on Parallel Processing for Scientific Computing (PP16), Paris (May)
Coupling Strategies for Electro-Mechanics in the Heart, Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE2016), talk given by Simone Pezzuto, Conception (January)
Teaching
PDEs: Mathematical modeling and numerical simulation (Fall 2013)
Role: teaching assistant for Prof. Krause
Computational Science (Spring 2012)
Role: teaching assistant for Prof. Krause
PDEs: Mathematical modeling and numerical simulation (Fall 2011)
Role: teaching assistant for Prof. Krause
Introduction to PDEs, Prof. Krause (Fall 2010)
Role: teaching assistant for Prof. Krause
Co-advisor of Master Thesis of Sonia Pozzi
Reduced Basis Method for Contact Problems in Elasticity and their Application in Biomechanics
Workshop on Computational Science, Settimana Tecnologica, September 2013
Organized by IngCH, Role: Lecturer
Workshop on Computational Science, Settimana Tecnologica, January 2013
Organized by IngCH, Role: Lecturer
Supervisor of LaM (Lavori di Maturità), 2014
Supervisor of LaM (Lavori di Maturità), 2013
Research interests
Continuum mechanics
Poroelasticity
Growth mechanics
Finite Element Method
Stabilizations for convection-dominated problems
