Table 1.

Parameters used in the calculations

Symbol	Description	Value	Source
r	radial coordinate		independent parameter
z	axial coordinate		independent parameter
R	tube radius	12.5 μm	simulation parameter
Bi	mass transfer Biot number	1, 3, or 10	simulation parameter
αpl	O2 solubility coefficient, in plasma	1.33 μM/mmHg	[12]
αrbc	O2 solubility coefficient, inside RBC	1.47 μM/mmHg	[25]
DO2,pl	O2 diffusivity in plasma	2.75 × 10−5 cm2/s	[11]
DO2,rbc	O2 diffusivity inside RBC	1.48 × 10−5 cm2/s	[48]
[Hb]rbc	heme concentration inside RBC	21.4 mM	[49]
α	O2 solubility coefficient	linearly interpolated between αpl and αrbc by [Hb]
DO2	O2 diffusivity	linearly interpolated between DO2,pl and DO2,rbc by [Hb]
DHbO2	HbO2 diffusivity	{1, 3, or 10} × 10−7 cm2/s	simulation parameter
[Hb]total	total [Hb] for RBC suspensions	5, 10, or 15 g/dl	simulation parameter
λ	normalized radius of RBC rich core	0.68, 0.74, or 0.90	[33]
μc	core viscosity	1.5, 2.5, or 3 cP	[35]