Biology Reference
In-Depth Information
10
8
6
4
2
0
0
2
4
6
8
10
Time (h)
FIGURE 9-20.
Approximation of an instantaneous secretion event by infusion at a constant rate over a very short
interval of time.
concentration function C(t) as a result of this hormone secretion and
exponential hormone elimination. The narrower the interval
t is,
the more pronounced the jump in the concentration function C(t) will be,
and the closer it will resemble an instantaneous secretion event.
D
Suppose now the secretion rate function S(t) remains constant over each
subinterval m
t
t
n
n
; ð
m
þ
1
Þ
;
m
¼
0
;
1
; ;
n
1
;
and the value of the
constant is equal to S
ðt
m
Þ
(i.e., the secretion rate at time)
t
m
(see
is
1
n
Figure 9-21). Then, the amount secreted over the time interval 0
;
approximately
C
0
¼
S
ðt
ÞD
t
:
0
In the same way, the hormone secreted per unit volume during the time
can be approximated by:
t
n
;
2t
n
interval
¼
ðt
ÞD
;
C
1
S
t
1
and so on. The hormone secreted per unit volume during the time
can be approximated by:
ð
Þ
n
1
t
interval
;
t
n
C
n
1
¼
S
ðt
n
1
ÞD
t
:
