Development of Mathematical Models and Efficient Algorithms  to Simulate the Loading Conditions of the Periodontium in Dental Biomechanics

Development of Mathematical Models and Efficient Algorithms to Simulate the Loading Conditions of the Periodontium in Dental Biomechanics

Research area
Internal groups
High Performance Methods for Numerical Simulation in Science, Medicine and Engineering
Description
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 and the mucosa covering the alveolar bone. Due to the complex structure of the PDL, a highly non-linear, anisotropic and time-dependent behaviour has to be assumed. 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) has not been presented yet. It is the aim of the current proposal to
  1.  develop a closed mathematical model 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 saddle-poit-like 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.
Model and computational methods are being tested  in strict and constant collaboration with Endowed Chair of Oral Technology (Prof. Bourauel, University of Bonn) where experimental and clinical work are carried out.

tooth evolution

This project is funded by the DFG within the framework of the Clinical Research Unit 208 "Aetiology and Sequelae of Periodontal Diseases - Genetic, Cell Biological and Biomechanical "Aspects

Leaders

Prof. Dr. Rolf Krause; ; PI; ICS Institute of Computational Science

Collaborations
Funding

DFG;

Status
Ongoing
Back to projects

cardio-centro-ticnic-logo

logo cscs

This website uses cookies to improve your experience. We'll assume you're ok with this, but you can opt-out if you wish. Read more