Biology Reference
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Fig. 13.1 The three possible irreversible precursor-product relationships between two precursors
( P , A ) and one end product ( B ) (Adapted from Rebeiz et al. 1988 )
where:
QB 2 ¼
amount of radiolabel incorporated into compoundB during time interval t 1 -t 2 ;
*A 1 ,*A 2 ¼
specific radioactivity of compound A at the beginning and end of time
interval t 1 -t 2 respectively.
*B 2 ¼
amount of compound B synthesized during time interval t 1 -t 2 .
By comparing expected radiolabel incorporation into compound B, as calculated
from Eq. 13.1 , with experimentally determined incorporations into compound B,it
is possible to tell whether compound B was formed exclusively from compound
A or not. If compound B is formed exclusively from compound A, then within
the range of experimental error, the theoretical and experimental radiolabel incor-
porations into compound B should be identical or reasonably similar. On the other
hand, if compound B is not formed from compound A, or is partially formed from
compound A, then the calculated and experimental radiolabel incorporations into
compound B will be different. The difference between the calculated and experi-
mental values may then depend, among other things, on the extent of partial
contribution of compound A to the synthesis of compound B.
If comparison of calculated and experimental results indicates that compound
B is not totally formed from compound A via pathway 1 (Fig. 13.1 ), then the
question arises as to whether compound B is formed via pathway 2 or 3. Further-
more if compound B is found to be formed via pathway 2, then the contribution of
compound A to the formation of compound B needs to be assessed. The determina-
tion of whether compound B is formed via pathway 2 or 3 can be achieved from
conventional in vitro investigations of precursor product relationship between
compound A and compound B. In other words, if pathway 2 is found to be opera-
tional then the contribution of compound A to the formation of compound B can be
assessed from Eq. 13.2 (Rebeiz et al. 1988 ):
Conversion
¼
100
½
ð
j
Exp
QB X
j =
Exp
Þ
100
(13.2)
%
where:
% Conversion
maximum possible percent conversion of compound A to com-
pound B during any time interval X,
Exp
¼
actual 14 C-incorporation into compound B by the end of time interval X, as
determined experimentally,
¼
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