Biomedical Engineering Reference
In-Depth Information
Ta b l e 1
Non-dimensionalized parameter values of the presented model (tildes are omitted for
simplicity)
Parameter
Nominal value
Source
MSCs
α
m
1
Bailón-Plaza et al. [
48
]
A
m
0
0.85
Bailón-Plaza et al. [
48
]
K
m
0.1
Bailón-Plaza et al. [
48
]
a
cm
5.98
measured
b
cm
1.67
measured
c
cm
3.33
measured
Y
11
10
Bailón-Plaza et al. [
48
]
H
11
14
Bailón-Plaza et al. [
48
]
F
11
8
Dvorak et al. [
13
]
F
12
1.5
Dvorak et al. [
13
]
d
cm
1.5
estimated
Osteoblasts
A
b
0
0.202
Bailón-Plaza et al. [
48
]
K
b
0.1
Bailón-Plaza et al. [
48
]
α
b
1
Bailón-Plaza et al. [
48
]
a
cb
41.82
measured
b
cb
5.06
measured
c
cb
1.9
measured
d
b
0.1
Bailón-Plaza et al. [
48
]
γ
7
measured
Collagen matrix
P
bs
0.18
Yuan et al. [
53
]
κ
b
1
Bailón-Plaza et al. [
48
]
Mineral matrix
δ
0.05
estimated
P
bb
0.0398
Yuan et al. [
53
]
κ
bb
1
Bailón-Plaza et al. [
48
]
m
thres
0.85
estimated
scaling factor for the calcium concentration was assumed to be equal to the extra-
cellular calcium concentration (
Ca
0
=
1 mM). An overview of the model parameter
values and the initial variable values is given in Table
1
and Table
2
respectively.
The model parameters were non-dimensionalized as follows (the tildes represent
the non-dimensional parameters):
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