Biomedical Engineering Reference
In-Depth Information
Table 1 Parameters used in DO and glucose transport models
Parameter
Description
Value
Source
Tissue properties
L
Axial length
5 cm
Measured
H
Tissue thickness
300 lm
Measured
R i
Inner diameter
2 mm
Measured
R o
Outer diameter
2.3 mm
Measured
1 9 10 -6
cm s -1
Pa -1
L p
Hydraulic conductivity
Measured
250 9 10 6
cells mL -1
q cell
Cell density
Measured
V max ; O 2
Michaelis-Menten parameter for O 2
1.66 fmol/min/cell
Measured
K m ; O 2
Michaelis-Menten parameter for O 2
15.8 lM
Measured
V max, gluc
Michaelis-Menten parameter for glucose
9.25 fmol/min/cell
[ 30 ]
K m, gluc
Michaelis-Menten parameter for glucose
1.5 mM
[ 31 ]
1.06 9 10 -5
cm 2
s -1
D O 2 ; t
Effective O 2 diffusivity in tissue
[ 33 ]
1.6 9 10 -7
cm 2
s -1
D gluc, t
Effective glucose diffusivity in tissue
[ 34 ]
Fluid properties
q
0.992 g cm -3
Density (water), 37C
[ 35 ]
0.0069 g cm -1
s -1
l
Dynamic viscosity (water)
[ 35 ]
3.83 9 10 -5
cm 2
s -1
D f
Effective O 2 diffusivity in culture medium
[ 36 ]
177 (140) nmol mL -1
C ?
Equilibrium DO concentration (oxygen tension)
(mmHg)
Measured
C 0, gluc
Culture medium glucose concentration
25 mM
[ 37 ]
x
Pulse frequency
0.5-1 Hz
Measured
V s
Stroke volume
0.5-1 mL
Measured
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