69
PTABLE 26.

» Times (Tanve 23 Less THE VALUE IN TABLE 23
FoR 0.2 Year) + Tap ie 24

; would be,

A, yr!

rest’ of the,

T,yr

0.693

bone ages.

r member;
ose of the

I
2
5
10
20
50
100

lantitativ

ugh young.
ite that j
1e homeo.

1.17
1.03
0.99
0.98
0.98
0.98
0.98

0.231

0.099

0.046

:

0.020 0.0092
I
|

1.06 | 4.03
1.01
1.01
1.00
0.78 0.691: 0.652 , 0.631 0.623
0.638 0.478 0.400 0.358 0.340
0.612 0.414 0.309 0.249 0.223
0.608 0.395 0.268 0.192 0.155
0.608 0.391 0.253 0.160 0.112
0.608 0.391 0.252 0.154 0.099

observed. About 56% of As was augmentation (theo-

retically).

The 51-year-old man with “Ca examined in 1958
has a blood curve consistent with As5,. = 18.6%/vear.
Therefore he ts plotted in Figure 53 at T = 33 years

and a diffuse/uniform label of (2%/year)/(18.6 %/
vear) or 0.107. This corresponds to \ = 12 %/year and
TABLE 27.

Va.LvueEs or PARAMETERS CALCULATED FROM THE
Microscopic MopEe.
A, yt

T, yr

69.3

23.1)

99

46

2.0

0.92

20
100

25.0
29.5!
29.5)
29.5]

32.0
19.0
18.2;
18.0;

31.5:
14.4]
11.8];
11.7)

30.5
12.0]
8.1]
7.6}

30.0
10.8
5.8]
4.6)

30.0
10.3
4.6
3.0

1
5)
20
100

87.0
81.5
81.5
81.5

49.3
36.3
35.5;
35.3}

38.9
21.8
19.2
19.1)

34.0)
15.5
11.5]
11.1)

31.5 30.7
12.3 11.0
7.3]
5.3
6.1) 3.7

1)
5
20
100 ;

40
36
36
36

65
52
51
51

81
66
61
61

90
7
70
68

e.

he human’. the sugmentation rates, but the reduction is only about
ct to inf30°,

in the region of interest.

e volume,
tion ratest

in) Figure 52 gives augmentation rates (Augs) vs.

observed
’ veur).
an of the:. (b) Therefore, it does not include apposition but
resorption”. docs include secondary mineralization.
n rate aff
‘¢) Since new bone is only 75% mineralized, the
mal adult.
ong-term_:

1;

A-Value and Augmentation Rate

of loca \ und T excluding bone younger than 10 weeks (0.2

put 15 ES
é

Augs, %/yr

As, %/yr

Augs/A 5 eo

apposition rate in mass per unit mass per unit time is
oe Xy,
Ld)

ws = Augs + 75% X.

The diffuse component will be understood as the
nentation , tracer uptake in the original bone laid down at adoles-

% original

1

bone left

5
20;
100

‘his aug- g cence. It is therefore bone of age T years and its local
viouslyi augmentation rate 1s Augs = al?

ut wou

Id at ind1.6 eatio

euptakeé

|

Diffuse

Uniform label

_ Local Aug; (adolescent bone)

As

Diffuse/uniform label

'

The curves in Figure 53 showdiffuse/uniform label
at when , versus T and 4, taken from Table 27. Figure 54 shows
fe iF be, wf; versus A and 7 taken from Table 27.
n diffuse *

'¢) For animals injected at the older ages, quite
rate vs.—E
low diffuse/uniform ratios are found, but the fraction
er thané
ntation

2 26.)

of the A-value due to augmentation stays over 50%.

(Figure 33).

The °Ca dog JJ1 (age 10 years) should have a
diffuse
uniform ratio = 0.25. The value 0.167 was
e lowers |

0.61
0.27
0.104)
0.034;

91

96

61
14
—

98

7 |
40
1,

0.77
0.45
0.192)
0.062)

0.88
0.63
0.32
0.108)

90
67
14
0.95
G.79
0.50
0.196}

99

96
83
40

0.98
0.88
0.70
0.323

~“
oO

;

2.0

aD

F coulirmed by the radium cases of Rowland and MarPeshal]” with one exception (case IJ). (See Figure 53.)
‘bi For a given age at injection, the higher the re‘modeling
rate the lower the diffuse/uniform ratio.
she times
Dogs
N
(age
1 year) and P (age 3 months) fit the
mediate §
F prediction very well.
ye more

0.34
0.119)
0.045)
0.015)

o

there ab mio:Teling rate should decrease as the age of the person
‘all aug-t ut the time of tracer intake increases. This trend is

79

3.1
31
|
-—-~ ; 1.0]
—
—

98
94
87
81

X= 0.92% /year |
Augs /As in Percent

nan the,
(unelusion
‘+h wider, fo _
oo
.
sund for!
The ratio diffuse/uniform label for a given re-

|
5
20
100

50

95
88
79
73

50r

23.|

FOF
30

I

2

Let

|

69.3
peril

5

10

!

20

Lo

7
tet

50

100

T (Years after Adolescence - Age of bone at injection)

Fic. 55.—The calculated percentage of the total kinetic Avalue (As) that is due to augmentation (Augs) rather than to
the deposition of activity in newly-forming bone. Figures from
Table 27.

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