Section: Scientific Foundations

Multiscale analysis

The complete physical or biomedical description is usually complex and requires very small scales. Efficiency of computer resolution leads to simplifications using averages of quantities. Methods allowing to achieve that goal are numerous and mathematically deep. Some examples studied in BANG are

• Coupled multiscale modelling (description of tumors and tissues from the sub-cellular level to the organ scale).

• Description of cell movement from the individual to the collective scales.

• Reduction of full 3d Navier-Stokes system to 2d or 1d hyperbolic equations by a section average (derivation of Saint-Venant system for shallow water).