Biomedical Engineering Reference
In-Depth Information
26.
Given the model in Figure 8.15 with
q
A
i
ð
0
Þ¼
30,
q
B
i
ð
0
Þ¼
15,
q
A
o
ð
0
Þ¼
20,
C
oi
¼
3,
C
io
¼
0
:
2,
D
io
¼
2,
D
oi
¼
0
:
1,
K
¼
2, and
K
1
¼
0
:
5, assume that there is flow of
q
A
into the exterior of
1
the cell equal to 3
u
ð
t
Þ
, and a production of
q
B
i
inside the cell equal to
u
ð
t
Þ:
All other initial
conditions are zero. Simulate the solution for all quantities.
27.
Given the model in Figure 8.15 with
q
A
i
ð
0
Þ¼
10,
q
B
i
ð
0
Þ¼
25,
q
A
o
ð
0
Þ¼
10,
C
oi
¼
5,
C
io
¼
1,
D
io
¼
4,
D
oi
¼
0
:
1,
K
1
¼
3, and
K
1
¼
1, assume that there is flow of
q
A
into the exterior of the
cell equal to 5
u
ð
t
Þ
, and a production of
q
B
i
inside the cell equal to 2
u
ð
t
Þ:
All other initial
conditions are zero. Simulate the solution for all quantities.
28.
Given the model in Figure 8.15 with
q
A
i
ð
0
Þ¼
20,
q
B
i
ð
0
Þ¼
5,
q
A
o
ð
0
Þ¼
30,
C
oi
¼
10,
C
io
¼
0
:
2,
D
io
¼
6,
D
oi
¼
0
:
1,
K
1
¼
5, and
K
1
¼
0
:
2, assume that there is flow of
q
A
into the exterior of
the cell equal to 5
u
ð
t
Þ
, and a production of
q
B
i
inside the cell equal to 2
u
ð
t
Þ:
All other initial
conditions are zero. Simulate the solution for all quantities.
29.
Given the model in Figure 8.19 with
q
S
i
ð
0
Þ¼
10,
q
E
ð
0
Þ¼
0
:
25,
q
S
o
ð
0
Þ¼
10,
B
oi
¼
4,
B
io
¼
0
:
5,
D
io
¼
5,
D
oi
¼
0
:
05,
K
2
¼
0
:
5,
K
1
¼
5, and
K
1
¼
0
:
5, assume that there is flow of
q
S
into the
exterior of the cell equal to 5
u
ð
t
Þ:
All other initial quantities are zero. Simulate the solution for
all quantities.
30.
Given the model in Figure 8.19 with
q
S
i
ð
0
Þ¼
50,
q
E
ð
0
Þ¼
2,
q
S
o
ð
0
Þ¼
70,
B
oi
¼
2,
B
io
¼
0
:
1, D
io
¼
4,
D
oi
¼
0
:
1,
K
2
¼
5,
K
1
¼
8, and
K
1
¼
0
:
1, assume that there is flow of
q
S
into the exterior
of the cell equal to 8
u
ð
t
Þ:
All other initial quantities are zero. Simulate the solution for all
quantities.
31.
Given the model in Figure 8.19 with
q
S
i
ð
0
Þ¼
25,
q
E
ð
0
Þ¼
0
:
25,
q
S
o
ð
0
Þ¼
10,
B
oi
¼
10,
B
io
¼
0
:
5,
D
io
¼
10,
D
oi
¼
1,
K
2
¼
10,
K
1
¼
3, and
K
1
¼
0
:
5, assume that there is flow of
q
S
into the
exterior of the cell equal to 10
u
ð
t
Þ:
All other initial quantities are zero. Simulate the solution
for all quantities.
32.
Given the model in Figure 8.21 with
q
S
i
ð
0
Þ¼
15,
q
C
o
ð
0
Þ¼
q
C
i
ð
0
Þ¼
5,
q
S
o
ð
0
Þ¼
10,
K
2
¼
4,
K
1
¼
2, and
K
1
¼
0
:
5, assume that there is flow of
q
S
into the exterior of the cell equal
All other initial quantities are zero. Simulate the solution for all quantities.
33.
Given the model in Figure 8.21 with
to 4
u
ð
t
Þ:
q
S
i
ð
0
Þ¼
25,
q
C
o
ð
0
Þ¼
q
C
i
ð
0
Þ¼
8,
q
S
o
ð
0
Þ¼
20,
K
2
¼
7,
K
1
¼
5, and
K
1
¼
0
:
1, assume that there is flow of
q
S
into the exterior of the cell equal
All other initial quantities are zero. Simulate the solution for all quantities.
34.
Given the model in Figure 8.21 with
to 10
u
ð
t
Þ:
q
S
i
ð
0
Þ¼
35,
q
C
o
ð
0
Þ¼
q
C
i
ð
0
Þ¼
4,
q
S
o
ð
0
Þ¼
50,
q
P
o
ð
0
Þ¼
0,
K
2
¼
3,
K
1
¼
1, and
K
1
¼
0
:
01, assume that there is flow of
q
S
into the exterior of the cell
Simulate the solution for all quantities.
35.
Simulate the model in Eqs. (8.114) and (8.115) given that
equal to 15
u
ð
t
Þ:
q
S
ð
0
Þ¼
10,
q
E
ð
0
Þ¼
0
:
1,
K
1
¼
4,
K
1
¼
All other initial quantities are zero.
36.
Simulate the model in Eqs. (8.114) and (8.115) given that
0
:
2,
K
2
¼
3,
K
3
¼
2,
K
3
¼
0
:
01,
K
4
¼
1, and
q
I
ð
0
Þ¼
3
:
q
S
ð
0
Þ¼
20,
q
E
ð
0
Þ¼
0
:
01,
K
1
¼
6,
K
1
¼
0
:
1,
K
2
¼
10,
K
3
¼
5,
K
3
¼
0
:
05,
K
4
¼
7, and
q
I
ð
0
Þ¼
5
:
All other initial quantities are
zero.
37.
Simulate the model in Eqs. (8.114) and (8.115) given that
q
S
ð
0
Þ¼
30,
q
E
ð
0
Þ¼
0
:
1,
K
1
¼
10,
K
1
¼
0
:
1,
K
2
¼
3,
K
3
¼
7,
K
3
¼
0
:
09,
K
4
¼
9, and
q
I
ð
0
Þ¼
8
:
All other initial quantities are
zero.
Continued