Biomedical Engineering Reference
In-Depth Information
Fig. 6.5 Elasticity modulus in the axial direction. Experimental data obtain in Zioupos work
compared with Lotz law for cortical and trabecular bone and with the mathematical model
proposed in this topic
Table 6.2
Coefficients of the propose bone tissue phenomenological model
Coefficient
j = 0
j = 1
j = 2
j = 3
a
j
0.000E+00
7.216E+02
8.059E+02
0.000E+00
b
j
-1.770E+05
3.861E+05
-2.798E+05
6.836E+04
c
j
0.000E+00
0.000E+00
2.004E+03
-1.442E+02
d
j
0.000E+00
0.000E+00
2.680E+01
2.035E+01
e
j
0.000E+00
0.000E+00
2.501E+01
1.247E+00
in the same mathematical law the cortical and trabecular bone tissue. The bone
elasticity modulus for the axial direction is obtained using the approximation curve,
8
<
X
3
a
j
ð
q
app
Þ
j
q
app
1
:
3 g/cm
3
if
j¼0
ð
6
:
7
Þ
E
axial
¼
:
X
3
b
j
ð
q
app
Þ
j
q
app
[ 1
:
3 g/cm
3
if
j¼0
being the coefficients a
j
and b
j
presented in Table
6.2
. This curve presents a 95 %
correlation with the experimental data, Fig.
6.5
. Since in Zioupos work only the
