12 citations · 12 across the 4 of their papers we have counts for
4 papers
The least squares RBF-PU method for linear elasticity in the diaphragm geometry
Andreas Michael, Elisabeth Larsson, Pierre-Frédéric Villard +1
The human diaphragm is vital for respiration and its simulation can aid in further understanding complications arising in individuals that have been subjected to mechanical ventila…
Cosserat Rods for Modeling Tendon-Driven Robotic Catheter Systems
Pierre-Frédéric Villard, Thomas M. Waite, Robert D. Howe
Tendon-driven robotic catheters are capable of precise execution of minimally invasive cardiac procedures including ablations and imaging. These procedures require accurate mathema…
An RBF partition of unity method for geometry reconstruction and PDE solution in thin structures
Elisabeth Larsson, Pierre-Frédéric Villard, Igor Tominec +3
The main respiratory muscle, the diaphragm, is an example of a thin structure. We aim to perform detailed numerical simulations of the muscle mechanics based on individual patient…
An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations
Igor Tominec, Pierre-Frederic Villard, Elisabeth Larsson +2
The thoracic diaphragm is the muscle that drives the respiratory cycle of a human being. Using a system of partial differential equations (PDEs) that models linear elasticity we co…