Haemolysis Index Model

A power-law model used to estimate blood damage from shear stress.

Equations

Power-Law Haemolysis model

$HI\left(\%\right)=C{\tau }_s^{\alpha }{t}_{exp}^{\beta }$

Where:

• HI is the Haemolysis Index
• ${\tau }_s$ is the local Shear Stress
• $t_{exp}$ is the exposure time of the red blood cells to the local shear stress
• α, β, and C are empirical constants

For the NeoVAD Master’s Dissertation, C = 3.62e-5, α = 0.785, β = 2.416 from literature 53

Eulerian form

This can be linearised and used as a Transport Equation.

$\frac{\partial H{I}^{\prime }}{\partial t}+v\bullet \nabla H{I}^{\prime }=S$

Where:

• $H{I}^{\prime }=[HI{]}^{1/\beta }$
• $S=(C{\tau }_s^{\alpha }{)}^{1/\beta }$
• $v$ is the blood velocity

From this, the Haemolysis index can be calculated as $HI=[H{I}^{\prime }{]}^{\beta }$.