| Abstract: |
| Complex problems in biomedicine often need to be modeled by multiscale couplings between partial differential equations (PDEs) and ordinary differential equations (ODEs), in order to combine the accurate three-dimensional (3D) description of a local region of interest with the global features represented by reduced lumped models. We focus on a PDE/ODE system stemming from the multiscale interface coupling between a local description of tissue perfusion via a 3D deformable porous medium and a 0D lumped hydraulic circuit accounting for the blood circulation to and from the tissue, and study its well-posedness. |
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