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.
A mathematical model of solute dynamics in a curved artery
TATONE, Amabile
2005-01-01
Abstract
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.File in questo prodotto:
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