ber de el ama tee ch baeade aldualar’

ll

a

ee

(51)

|

Ss

>
™

(50)

—

a

V;- “av, =8
o——™

—_—

74
times that of the final rate constant i, then at

equilibrium their specific activity would be
1% that of the skeleton as a whole.

7. Cortical specific activity at transient ec

must be

Ve\Y
(4) = 1.248,

a;
tye
;
where \; = — = the rate of apposition-resorption for
t

compartment7.
4. Nowif \; refers to trabecular bone, we can write
Ys

=

Ver

_

8. Substituting the above into (52) and u:

and (55)
VV

(¥e

B\

nK

1

(©) = (G), (2). = Leds (=) Tif

ox

or

&

assuming + = 0.2 (20% trabecular, 80% cortic

g

-

~52T'

(53)

5. The ratio of S/B, plasma to body specific activities, at transient equilibrium follows from the relations
S = Se

(54)

B= Be™

(55)

where i, is the rate constant of cortical bone
tion-resorption).

9. For the parameters listed in step 6

1 248 (@ &ca/day ) (365 caye/year))

(1.5 %/year) (1000 gca)

oe

and the excretion postulate

1 — X/r-

dk

= 212.6

(56)

1a = OS:

Radium in man| A/rAe = 0.995 i

where gR/c = B.
Then

the ratio of the body’s final exponential \ to

position-resorption rate in cortical bone.

10. Therefore, Acortex iS Within 1/2% of d fi
the two can be equated withoutsignificant error

so

11. In general

S

AC

-

6) ~ ak

(58)

which is the ratio of plasma to bodyspecific activities
at final transient equilibrium.

6. Therefore,

Vr\

(1 — 7)

For caleium, with

_ (Vr\

(S\

_

(Xe

(@).- (4). @).- a).
For

y

In 17
7
|
# (4)

X

= 1.5%/year

c

=

(59)

nk = 0.3 go./day
A = 15%/year

© = 1000 gee

1000 Soa

r= 0.2

nk = 7 gca/day (70 liters/day)
eg

=4

o=4

for radium in man

Vr) no

~ = 0.886

(11 % difference).

(Fr) = 0.0078.

In other words, if trabeculae have a turnover rate of 4

Even 11%1s still negligible in view of our unce?
about A.
i's
pat

3
iF

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