Marc Thiriet

(CNRS, Université P. et M. Curie and INRIA Rocquencourt, France)

Lecture 1 : Physiological flows -- a macroscopic point of view with application to blood circulation and body's ventilation.

- Basic equations: mass and momentum conservation (Navier-Stokes equations).

- Main features: unsteady, developing, three-dimensional flows of Newtonian or non-Newtonian fluid in deformable pipes (distensible and collapsible ducts).

Lecture 2 : Physiological flows -- a nano/microscopic point of view.

Biological conduit walls are living tissues that react to the stress field applied to them by flowing fluid (mechanotransduction) and adapt vessel lumen size accordingly. Additional behavioral equation must be coupled to correct the computational domain size predicted by the Navier-Stokes solution.