A06 - Mathematical analysis of parameter dependent multi-scale models for electrically active implants
Summary of the work programme
For therapies employing electrically active implants, numerical models are central in determining the resulting electric field distribution in the targeted tissue. Only multi-scale models that also include interacting bioelectrical, biochemical, biomechanical and thermal effects meet the specific character of biological tissue. We will investigate and advance appropriate finite element-based micro- and macroscopic models for bone, cartilage and deep brain as well as scale-bridging techniques and, furthermore, methods for uncertainty quantification as the dielectric tissue properties exhibit large variations. The simulation models will contribute to derive best-possible and robust inter-individual stimulation parameters, and, in turn, a safer therapy planning.
Budde, Kai; Warnke, Tom; Uhrmacher, Adelinde M.; Schatz, Eric; Starke, Jens; Haack, Fiete (2017): Exploiting equation-free analysis for multi-level, agent-based models in cell biology. Winter Simulation Conference. Las Vegas, United States of America.