Biomedical Engineering Reference
In-Depth Information
Table 2 Estimations of the lacuno-canalicular intrinsic permeability, state of the art (reproduced
with permission from Lemaire et al. [
78
])
Reference
Permeability (m
2
)
Remarks
Theoretical estimations
[
158
]
1
:
02
10
20
Isotropic pericellular matrix
[
168
]
1
:
47
10
20
Adapted from [
158
]
[
153
]
f
0
:
1
13
g
10
20
Adapted from [
158
]
[
144
]
2
:
2
10
22
FEM and fitting of the electrical data of [
117
]
[
44
]
f
0
:
67
7
:
5
g
10
20
Anisotropic pericellular matrix, adapted from [
158
]
[
12
]
f
1
1500
g
10
22
Data of [
130
,
32
], adapted from [
158
]
[
169
]
3
:
79
10
21
Adapted from [
158
]
f
1
10
g
10
20
[
85
]
Data of [
166
], adapted from [
158
]
[
5
]
f
2
:
65
8
:
73
g
10
18
Personal data, scaled-up computational model
[
43
]
f
1
:
05
105
g
10
20
Poiseuille modified model
[
61
]
Personal data, adapted from [
158
]
[
78
]
f
1
10
g
10
19
FEM, anatomical data of [
166
]
Experimental estimations (coupled with poroelasticity)
[
118
]
f
3
10
g
10
19
4
:
1
10
24
Nanoindentation
[
41
]
6
:
5
10
23
Nanoindentation
[
38
]
f
1
10
g
10
25
Stress relaxation of single osteons
[
42
]
2
:
8
10
23
Step loading of intact bone
Fig. 7 Comparison between
the three driving parts of the
fluid flow for various values
of the pericellular fibers
parameter k
f
: Poiseuille effect
(dark grey), Osmosis (grey),
electro-osmosis (black)
(reproduced with permission
from Lemaire et al. [
85
])
4.3 Third Question: What is the Nature of Bone
In Vivo Electricity?
As explained in the
Sect. 2
, the nature of bone electricity is a recurrent question in
bone biomechanics. The in vivo stress induced electric potentials that have been
reported by Lanyon et al. [
71
] could indeed be explained either by the piezo-electric
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