Modelling

Here we discuss the physical modelling and the mathematical framework.

1. Blood flow

1.1. Incompressible Newtonian fluid

1.2. Non-Newtonian model : Carreau-Yasuda law

2. Blood vessels

2.1. Elasticity

2.2. Dorsal aorta : Non-symmetric external tissue constraints

3. Cells under flow

3.1. Red blood cells

3.2. Circulating tumor cells

4. FSI : Mathematical framework

4.1. ALE (Blood flow - vessel walls)

4.2. Level-set Method (Cells under flow)