Biomedical Engineering Reference
In-Depth Information
1
2
≅+ε−η
LL
(
)
(4.22)
1
1
b
a
ln
1
1
1
2
L
(1
− ε+
)
L
(
ε−η
)
(4.23)
1
1
b
a
a
a
a
ln
0
0
1
1
1
2
L
(1
− η+
)
L
(
ε−η
)
(4.24)
1
1
b
a
b
b
0
0
b
ln
where
2
2
b
ba
a
ba
1
1
0
0
L
=
,
L
′ =
,
L
=
,
L
=
(4.25)
0
0
1
2
2
2
2
2
2
2
b
a
ba
0
0
0
0
0
0
0
ln
0
Thus, Equations (4.15) and (4.16) can be approximately represented in terms
of ε and η as follows:
d
dt
ε =ε+η+
d
dt
η = ′ε+ ′η+ ′
BB B
,
BB B
3
(4.26)
1
2
3
1
2
where
2
e
2
e
1
a
b
LN
a
LN
a
2
0
e
2
e
14
1
4
2
2
e
B
=−
2
L
NLN
+
+
+
2
LaN
(4.27)
1
0
1
1
2
2
0
3
2
a
0
0
0
0
2
2
e
1
a
b
LN
a
2
0
e
2
e
1
4
2
2
e
B
=
2
L
NLN
+
+
+
2
Lb N
(4.28)
2
0
1
1
2
2
0
3
2
a
0
0
0
e
1
LN
a
14
B
=−
LN
e
+
LN
e
+
LN
e
+
C
e
(4.29)
3
01
12
23
0
a
0
0
2
2
p
2
1
a
b
LN
b
LaNL b
a
0
p
p
1
p
0
p
B
=
2
L
2
NLN
+
2
+
4
+
2
2
2
+
2
N
(4.30)
1
0
1
2
0
0
1
2
3
1
2
2
b
0
0
0
0
2
p
2
p
2
1
a
b
LN
b
LN
b
Lb NL b
a
0
p
p
1
1
p
0
p
B
=−
2
L
2
NLN
+
2
4
+
4
+
2
2
2
+
2
N
(4. 31)
2
0
1
2
0
0
1
2
3
1
2
2
b
0
0
0
0
0
p
1
LN
b
p
p
p
1
p
p
B
′ =
LN
+
LN
+
LN
+
4
+ ′
LN
C
(4.32)
3
0
1
2
0
1
2
3
1
0
b
0
0
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