Numerical Simulation of the Human Diaphragm

Andreas Michael
Division of Scientific Computing, IT Department, Uppsala University


Abstract:

This talk will include an introduction to my PhD project, the overall aim of which is to create a biomechanical simulation of the human diaphragm. Specifically, I will outline the work that I have done in my first 6 months as a PhD student. This includes a literature review on biomechanical modelling of striated muscle, where I will explain how solid mechanics can be used to model biological structure. Some example models from the literature will be shown.

Additionally, I will show a small application of the simplest model, linear elasticity, solved on a complex 3D shell geometry. The results are numerically computed using the meshfree Radial Basis Function Partition of Unity method (RBF-PUM) in the least squares formulation, which I will also briefly describe. Finally, I will share my future plans for this project.