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arXiv · 1912.09587

A reduced model for solute transport in compliant blood vessels with arbitrary axial velocity profile

Rami Masri·Charles Puelz·Beatrice Riviere
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Abstract

We derive a reduced model of solute transport in blood based on the center manifold theory. The derivation is carried out on a convection diffusion equation with general axial and radial velocity profiles in a blood vessel of varying cross section. We couple the resulting one dimensional equation to a reduced model for blood flow in a compliant vessel. In the special case of a no--slip axial velocity profile, we study the dependence of the diffusion coefficient and corresponding numerical solutions on the shape of the profile.

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Rami Masri, Charles Puelz, Beatrice Riviere. 2019-12-19. A reduced model for solute transport in compliant blood vessels with arbitrary axial velocity profile. https://arxiv.org/abs/1912.09587

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