An adaptive model for blood solutes

The relevance of the modeling of the dynamics of blood
solutes is widely proven. And also a 1D fluid dynamical model of the circulation has showed its relevance in research, because of the computational velocity. In this research we have tried to combine this two topics, by deriving from the 3D concentration model a 1D model based on modal functions. By increasing the number of modal functions the approximation of the real solution (aswell as the computational time) increases. In this presentation I will first show the proposed model and its numerical interpretation. I will end with the results, including the coupling between the 1D model for the haemodynamics (for one vessel) and a comparison with a 3D model of a vessel with a drug eluting stent.