Biomedical Engineering Reference
In-Depth Information
106.
Consider the model illustrated in Figure 7.33 for the oral input of T3 thyroid hormone
replacement therapy. Assume T3 exists in compartment 1 (gut) in solid form and in
compartment 2 (still the gut) in liquid form. Compartment 3 represents the plasma, and
compartments 4 and 5 are the fast and slow tissues, respectively. Assume that the input
is bolus,
f
1
(
t
)
¼
5d(
t
), and that the initial conditions are zero. Further, assume that
K
12
¼
1.1,
K
20
¼
0.01,
K
23
¼
0.9,
K
34
¼
7.0,
K
43
¼
30,
K
40
¼
0.8,
K
35
¼
2.0, K
53
¼
0.3, and
K
50
¼
0.1. Note
K
50
represent T3 metabolism. Solve for the quantity of T3 in compartment 3.
107.
Consider the model illustrated in Figure 7.43 for the oral input of thyroid hormone
replacement therapy using T4. Assume T4 exists in compartment 7 (gut) in solid form
and in compartment 8 (still the gut) in liquid form. Compartments 2 (for T3) and 5 (for T4)
represent the plasma, compartments 1 and 4 are the fast tissues, and compartments 3 and 6
are the slow tissues. Assume that the input is bolus,
that
K
40
and
f
7
(
t
)
¼
25d(
t
), and that the initial conditions
are zero. Further,
K
78
¼
1.1,
K
80
¼
0.01,
K
85
¼
0.62,
K
21
¼
15,
K
12
¼
30,
K
10
¼
1.0,
K
23
¼
0.5,
K
32
¼
0.4,
K
30
¼
0.05,
K
40
¼
0.08,
K
45
¼
0.45,
K
54
¼
0.28,
K
56
¼
0.05,
K
65
¼
0.017, and
K
60
¼
0.018.
Note that
K
10
,
K
30
,
K
40
,and
K
60
represent T3 and T4 metabolism. Solve for the quantity of T3 in
compartment 2.
108.
Consider the model illustrated in Figure 7.44 for oral input of T4 thyroid hormone replacement
therapy. Assume T4 exists in compartment 7 (gut) in solid form and in compartment 8 (still the
gut) in liquid form. Compartments 2 (for T3) and 5 (for T4) represent the plasma, compartments
1 and 4 are the fast tissues, and compartments 3 and 6 are the slow tissues. Assume that the
input is bolus,
f
7
(
t
)
¼
25d(
t
), and that the initial conditions are zero. Further, assume that
K
78
¼
1.1,
K
80
¼
0.01,
K
85
¼
0.62,
K
21
¼
7.0,
K
12
¼
10,
K
10
¼
0.8,
K
23
¼
2.0, K
32
¼
0.3,
K
30
¼
0.1,
K
40
¼
0.06,
K
45
¼
1.0,
K
54
¼
0.3,
K
56
¼
0.0,
K
65
¼
0.03, and
K
60
¼
0.02. Note that
K
10
,
K
30
,
K
40
,and
K
60
represent T3 and T4 metabolism. Solve for the quantity of T3 in compartment 2.
K
10
K
12
K
23
K
30
q
1
q
2
q
3
K
21
K
32
K
41
K
63
K
40
K
45
K
56
K
60
q
4
q
5
q
6
K
54
K
65
K
85
f
7
(t)
K
78
q
7
q
8
K
80
FIGURE 7.43
Illustration for Exercise 107.
