Biology Reference
In-Depth Information
By incorporating Eq. (
3.96
) into Eq. (
3.94
), and by taking into account that under
these conditions
t
1
¼
0 Eq. (
3.94
) transforms into
Q
B
2
¼
Y
A
1
: Δ
B
2
þ Δ
B
2
:
ct
2
=
2
(3.97)
From Eq. (
3.90
) at times
t
1
-t
2
etc....
ct
2
¼
Y
A
2
Y
A
1
(3.98)
By substituting Eq. (
3.98
) into Eq. (
3.97
), the latter transforms into
Q
B
2
¼
Y
A
1
: Δ
B
2
þ Δ
B
2
ð
Y
A
2
Y
A
1
Þ=
2
¼
Y
A1
: Δ
B
2
þð
Y
A
2
Δ
B
2
Þ=
2
ð
Y
A
1
: Δ
B
2
Þ=
2
(3.99)
or
Q
B
2
¼ð
Y
A
1
: Δ
B
2
Þ=
2
þ
Y
A
2
: Δ
B
2
=
2
(3.100)
Equation (
3.100
) can be rewritten as
Q
B
2
¼ð
Y
A
1
þ
Y
A
2
Þ=
2
ðΔ
B
2
Þ
(3.101)
transforms into
Where:
Q
B2
¼
amount of radiolabel incorporated into compound B by the end of time
interval
t
1
-
t
2
.
Y
A1
,Y
A2
¼
specific radioactivity of compound
A
by the end of the time intervals
t
0
-
t
1
and
t
1
-
t
2
, respectively.
Δ
B
2
¼
amount of
B
synthesized by the end of time interval
t
0
-t
1
.
3.9.2 The Special Case of Time Interval t
0
-t
1
During time interval
t
0
-t
1
,
t
0
corresponds to the beginning of incubation with
radioactive precursor
P.
For this time interval, Eq. (
3.101
) can then be rewritten
Q
B
1
¼ð
Y
A
0
þ
Y
A
1
Þ=
2
Δ
B
2
ðΔ
B
1
Þ
(3.102)
Since under these conditions none of precursor
P
has yet been converted to
A
and/or
B
,
Y
A0
I equal to zero. Consequently, Eq. (
3.102
) reduces to:
Q
B
1
¼
Y
A
1
=
2
ðΔ
B
1
Þ
(3.103)
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