Section: New Results

Miscellanous

• Refactoring of the CEPS software. Our CEPS software underwent an important refactoring phase so that future students spend less time getting hands on the code. Also, several features developped by previous PhD students were merged into the version that we intend to distribute : high order numerical schemes suited for ionic models, volume fraction due to tissue heterogeneities. We are currently in the process of licensing with Inria and University of Bordeaux.

• Deep brain stimulation procedure: We have been working on three different learning methods for the prediction of the optimal pacing sites in the Deep brain stimulation procedure. We also compared the found position to the position of the stimulation sites to the anatomical geometries in the Ewert brain atlas. Results show the robustness of the methods in founding the stimulation regions.

• Generation of boundary conditions for the Boussinesq system: In a collaboration with David Lannes (IMB, Bordeaux) we have developed a new method for the numerical implementation of generating boundary conditions for a one dimensional Boussinesq system. The method is based on a reformulation of the equations and a resolution of the dispersive boundary layer that is created at the boundary.

• Simulation of solid suspensions in incompressible fluids: In a collaboration with B. Lambert and M. Bergmann (IMB, Bordeaux) we have extended a previously published local lubrication model to non-Brownian suspensions of ellipsoidal solid particles in incompressible flows. This lubrication model used virtual spheres to evaluate local lubrication corrections instead of the global corrections found in the classical lubrication theory.