Biomedical Engineering Reference
In-Depth Information
55.
The input to the compartmental system in Figure 7.38 is 2
u
ðÞ
2
u
ð
t
1
Þ
. The transfer rates
are
K
20
¼
0
:
3,
K
¼
1
:
0, and
K
¼
0
:
6
:
The initial conditions are
q
1
0
ðÞ¼
2 and
q
2
0
ðÞ¼
0
:
21
12
Write a single differential equation involving the input and only variable (a)
q
1
; (b)
q
2
. For
t
>
q
2
. (e) Using SIMULINK, simulate the system from the
original set of differential equations and graph
0, solve the system for (c)
q
1
; (d)
q
2
.
56.
The input to the compartmental system in Figure 7.38 is 2
q
1
and
u
ð
t
1
Þ
. The transfer rates are
K
20
¼
0
:
3,
K
21
¼
1
:
0, and
K
12
¼
0
:
6
:
The initial conditions are
q
1
0
ðÞ¼
0 and
q
2
0
ðÞ¼
0
:
Write a single
differential equation involving the input and only variable (a)
q
1
; (b)
q
2
. For
t
>
0, solve the
system for (c)
q
2
. (e) Using SIMULINK, simulate the system from the original set of
differential equations and graph
q
1
; (d)
q
2
.
57.
The input to the compartmental system in Figure 7.38 is 2
q
1
and
e
0:5562
t
u
ð
t
Þ
. The transfer rates are
K
20
¼
0
:
2,
K
21
¼
0
:
1, and
K
12
¼
0
:
4
:
The initial conditions are
q
1
0
ðÞ¼
0 and
q
2
0
ðÞ¼
0
:
Write a
single differential equation involving the input and only variable (a)
q
1
; (b)
q
2
. For
t
>
0, solve
the system for (c)
q
2
. (e) Using SIMULINK, simulate the system from the original set of
differential equations and graph
q
1
; (d)
q
2
.
58.
The input to the compartmental system in Figure 7.38 is 2
q
1
and
e
0:5562
t
u
ð
t
Þ
. The transfer rates are
K
20
¼
0
:
2,
K
21
¼
0
:
1, and
K
12
¼
0
:
4
:
The initial conditions are
q
1
0
ðÞ¼
0 and
q
2
0
ðÞ¼
1
:
Write a
single differential equation involving the input and only variable (a)
q
1
; (b)
q
2
. For
t
>
0, solve
q
2
. (e) Using SIMULINK, simulate the system from the original set of
differential equations and graph
q
1
; (d)
the system for (c)
q
2
.
59.
The input to the compartmental system in Figure 7.38 is 2
q
1
and
e
0:1438
t
u
ð
t
Þ
. The transfer rates are
K
20
¼
0
:
2,
K
21
¼
0
:
1, and
K
12
¼
0
:
4
:
The initial conditions are
q
1
0
ðÞ¼
0 and
q
2
0
ðÞ¼
0
:
Write a
single differential equation involving the input and only variable (a)
q
1
; (b)
q
2
. For
t
>
0, solve
the system for (c)
q
2
. (e) Using SIMULINK, simulate the system from the original set of
differential equations and graph
q
1
; (d)
q
2
.
60.
The input to the compartmental system in Figure 7.38 is 2
q
1
and
e
0:1438
t
u
ð
t
Þ
. The transfer rates are
K
20
¼
0
:
2,
K
21
¼
0
:
1, and
K
12
¼
0
:
4
:
The initial conditions are
q
1
0
ðÞ¼
2 and
q
2
0
ðÞ¼
0
:
Write a
single differential equation involving the input and only variable (a)
q
1
; (b)
q
2
. For
t
>
0, solve
the system for (c)
q
2
. (e) Using SIMULINK, simulate the system from the original set of
differential equations and graph
q
1
; (d)
q
2
.
61.
The input to the compartmental system in Figure 7.38 is 2
q
1
and
e
0:1438
t
u
ð
t
Þ
e
0:1438
t
10
ð
Þ
t
2
u
ð
t
10
Þ
.
The transfer rates are
K
20
¼
0
:
2,
K
21
¼
0
:
1, and
K
12
¼
0
:
4
:
The initial conditions are
q
1
0
ðÞ¼
0
and
q
2
0
ðÞ¼
0
:
Write a single differential equation involving the input and only variable (a)
q
1
;
(b)
q
2
. (e) Using SIMULINK, simulate the system
from the original set of differential equations and graph
q
2
. For
t
>
0, solve the system for (c)
q
1
; (d)
q
1
and
q
2
.
e
t
u
ð
t
Þ
62.
The input to the compartmental system in Figure 7.38 is 3
. The transfer rates are
K
20
¼
0
:
2,
K
21
¼
0
:
1, and
K
12
¼
0
:
4
:
The initial conditions are
q
1
0
ðÞ¼
2 and
q
2
0
ðÞ¼
0
:
Write a single
differential equation involving the input and only variable (a)
q
1
; (b)
q
2
. For
t
>
0, solve the
system for (c)
q
2
. (e) Using SIMULINK, simulate the system from the original set of
differential equations and graph
q
1
; (d)
q
2
.
63.
The input to the compartmental system in Figure 7.38 is 3
q
1
and
e
t
u
ð
t
Þ
3
e
t
3
ð
Þ
u
ð
t
3
Þ
. The
transfer rates are
K
20
¼
0
:
2,
K
21
¼
0
:
1, and
K
12
¼
0
:
4
:
The initial conditions are
q
1
0
ðÞ¼
0 and
q
2
0
ðÞ¼
0
:
Write a single differential equation involving the input and only variable (a)
q
1
;
