Mathematical modelling and simulation of bone and implant remodelling in the healthy and diseased bone
The major goal of this project is the analysis of the development of trabecular bone morphologies in space and time and the influence of implants and drugs, which are released by the implants. A first approach is to better understand the celldynamics on implanted scaffolds. It is also wanted to get a better look into the influence of bone cell population dynamics and the mechanical stimuli and their influence on bone remodelling, the effect of the extracellular bone matrix, the influence of scaffold surfaces on the migration of cells, and the influence of growing factors on the vascularization.
For the mathematical modeling of the development of the bone morphologies, phase field models are being used. And these PDEs are being solved with AMDiS.
Project duration: 07/2010 - 06/2018
Funded by: DFG, SFB/TR 79