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. Author manuscript; available in PMC: 2017 Sep 22.
Published in final edited form as: Math Biosci. 1981 Aug;55(3-4):231–246. doi: 10.1016/0025-5564(81)90097-3
C oxygen-binding capacity of blood
D oxygen diffusion coefficient
H thickness of the tissue
Ht tube hematocrit
J capillary-tissue diffusive flux
L length of the capillary
l penetration depth
M oxygen consumption rate per unit volume of tissue
P oxygen tension
r capillary radius
R Krogh cylinder radius
υ velocity of blood
υpl mean velocity of plasma
υc mean velocity of red blood cells
x, y, z dimensional coordinates
x*, y*, z* dimensionless coordinates
GREEK SYMBOLS
 α oxygen solubility coefficient
 ψ oxygen saturation fraction of hemoglobin
SUBSCRIPTS
 a pertaining to arterial end of the capillaries
 b pertaining to blood
 Hb pertaining to hemoglobin solution
i = 1, 2, 3, 4 pertaining to capillaries
 K pertaining to “Krogh-like” geometry
 pl pertaining to plasma
 s pertaining to the surface of the tissue