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

摘要

The main result of this paper is the formulation and derivation of a solute transport model in the case of a general velocity profile and in a blood vessel of varying cross section. We couple the resulting one dimensional advection-diffusion equation to a reduced model for blood flow in a compliant vessel, and we obtain a system of equations describing the evolution of the vessel area, blood momentum, and radially averaged solute concentration. In the special case of a no-slip axial velocity profile, we specify a relation between the diffusion coefficient and the shape of the profile. This relation is investigated numerically with physiological boundary data for blood flow, and the results show that the Coriolis parameter has an impact in the transient regime of solute transport.