Skip to main content
. 2016 Mar 3;11(3):e0149935. doi: 10.1371/journal.pone.0149935

Table 1. Tissue-capillary system particulars.

Parameter Definition Source
LRBC = 200 μm RBC region length [20]
LCFR = 200 μm Cell-free region length [20]
LTissue = 200 μm Cerebral tissue length [20]
RRBC = 3.25 μm RBC (erythrocyte) region radius [21]
tCFR = 0.75 μm Cell-free region (CFR) thickness [21]
tTissue = 25 μm Brain tissue thickness [22]
ρRBC = 1,160 kg/m3 RBC mass-density [23]
ρCFR = 1,025 kg/m3 Cell-free region (plasma) mass-density [24]
ρTissue = 1,040 kg/m3 Brain tissue mass-density [25]
μCFR = 1.2 × 10−3 kg/m-s Cell-free region dynamic viscosity [23]
DO2RBC = 8.8 × 10−6 cm2/s RBC O2 diffusivity [26, 27]
DO2CFR = 2.29 × 10−5 cm2/s Cell-free region (plasma) O2 diffusivity [13, 28]
DO2Tissue = 1.6 × 10−5 cm2/s Brain tissue O2 diffusivity [27]
DHb = 1.42 × 10−7 cm2/s RBC hemoglobin diffusivity [13, 29]
CBv = 0.3–1.2 mm/s Capillary blood velocity [3032]
CMRO2 = 200–466i Metabolic rate of O2 utilization [27, 33, 34]
cH = 9.1 mol/m3 Oxygen carrying capacity of Hb [32]
kH = 40 s−1 Reaction rate of HbO2 dissociation [35]
HO2=769.2L-atm/mol Henry’s law (oxygen) constant [36]
n=ΔCBF/CBFΔCMRO2/CMRO2 Normalized ΔCBF to ΔCMRO2
m=ΔCBv/CBvΔCMRO2/CMRO2 Normalized ΔCBv to ΔCMRO2 This study
HT = 0.31 Tube hematocrit [37]

iUnits: μmol/100g/min.