A branched, elastic and pulsatiile blood flow model for blood conductivity

While it has been well documented in the litterature that there exists a functional relationship between blood conductivity and pressure wave form, forward simplified models have been lacking key features. We combine a branched arterial model for the propagation of a pulsatile blood pressure wave with an elastic arterial wall of small thickness. Shear stresses across the channel modify the orientation of red blood cells which in turn affect the bulk conductivity of blood. Through a combination of nondimensionalization and sensitivity analysis, we establish and discuss the relative importance of various physiological parameters.