Biomedical Engineering Reference
In-Depth Information
3.5.3.1
Modeling of Transport Processes in Bone
Tissue-Engineered Implants ............................... 100
3.5.3.2
Microfluidic Bioreactor: A Numerical Driven
Experiment for Cartilage Culture ......................... 105
3.6
Conclusion .................................................................. 109
3.7
References ................................................................... 111
3.1
Nomenclature
Parameter
Notation
Unit
Substrate overall length scale
L
m
Porosity of the medium
φ
Length scale of the pore
a
m
2
φ
a
m
−
1
Specific pore wall area
S
V
≈
Effective pore length of the
sample
L
P
m
T
=
L
p
L
2
Tortuosity
K
=
φ
(2
a
)
2
96
1
T
m
2
Porous medium permeability
×
φ
3
S
V
×
=
1
6
×
T
m
−
3
Concentration of the
nutrient (oxygen, ...)
molecules
C
mol
×
m
−
3
Michaelis-Menten constant
K
M
mol
×
cel
−
1
sec
−
1
Cellular nutrient maximal
consumption rate
V
Max
mol
×
×
m
−
2
sec
−
1
Rate of nutrient
(oxygen, ...) consumption
by unit area
R
S
mol
×
×
m
−
2
Surface density of the cells
σ
cel
cel
×
m
−
2
sec
−
1
Maximum ratio of cell oxygen
consumption
R
max
=
σ
cel
×
V
max
mol
×
×
m
−
3
sec
−
1
Rate of nutrient (oxygen, ...)
consumption by unit
volume
R
V
=
R
S
×
S
V
mol
×
×
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