Isogeometric numerical simulation of solute dynamics in blood flows

Solutes and drugs are transported in the circulatory system by the blood for which absorption processes occur at the arterial walls. The comprehension, modeling, and numerical simulation of these phenomena, both in physiological and pathological conditions, represents a relevant topic of interest in biomedical applications. These phenomena can be represented by heterogeneous coupled models; specifically the Navier-Stokes equations representing the blood flow are coupled with the advection-diffusion equations describing the transport of the solutes and eventually the diffusion processes in the arterial wall. The project focus on the numerical approximation by means of Isogeometric Analysis of the Navier-Stokes equations coupled with the advection-diffusion models for the dynamics of the solutes in the blood and in the arterial walls. Firstly, the case of steady problems should be considered. Then, unsteady problems are solved by using suitable numerical schemes for the approximation in time of the coupled problem. In both the cases, two-dimensional problems are treated.