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

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