Biomedical Engineering Reference
In-Depth Information
q
4
. (i) Using SIMULINK, simulate the system from the original set of differential
equations and graph the quantity in each compartment.
104.
Suppose 1 g of solute is dumped into compartment 1 as shown in Figure 7.41. The transfer
rates are
(g)
q
3
; (h)
K
12
¼
0.4,
K
23
¼
0.6,
K
24
¼
0.3,
K
32
¼
1.2,
K
34
¼
0.8, and
K
42
¼
0.7. Write a single
differential equation involving only variable (a)
q
1
; (b)
q
2
; (c)
q
3
; (d)
q
4
. For
t
>
0, solve the
q
4
. (i) Using SIMULINK, simulate the system from the
original set of differential equations and each variable.
105.
For the compartmental system in Figure 7.42, a radioactively labeled bolus of solute, with
magnitude of 1, was injected into compartment 3. Let
system for (e)
q
1
; (f)
q
2
; (g)
q
3
; (h)
K
21
¼
0.2, K
32
¼
0.3, K
31
¼
0.7, K
13
¼
0.4, K
34
¼
0.9,
K
43
¼
0.1, and
K
14
¼
0.6. Write a single differential equation involving only
variable (a)
q
4
.
(i) Using SIMULINK, simulate the system from the original set of differential equations and
graph
q
1
; (b)
q
2
; (c)
q
3
; (d)
q
4
. For
t
>
0, solve the system for (e)
q
1
; (f)
q
2
; (g)
q
3
; (h)
q
1
,
q
2
,
q
3
, and
q
4
.
q
1
K
12
K
23
q
2
q
3
K
32
K
24
K
42
K
34
q
4
FIGURE 7.41
Illustration for Exercise 104.
q
1
K
14
K
21
K
13
K
31
K
34
q
2
q
3
q
4
K
32
K
43
FIGURE 7.42
Illustration for Exercise 105.
Continued
