A mathematical model of solute dynamics in a curved artery
Giuseppe Pontrelli, A. Tatone · WIT transactions on biomedicine and health · 2005
A mathematical model for the mass transport and diffusion process in arteries is presented.Blood flow is described by the unsteady Navier-Stokes equation, and solute dynamics by an advection-diffusion equation.A linearization procedure over the steady state solution is carried out and an asymptotic analysis is used to study the influence of a small curvature with respect to the straight tube.Some numerical experiments in cases of physiological interest are presented: the results show the characteristics of the long wave propagation and the role played by the geometry on the solute distribution.