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that cellular matter can enter the nephron? If there was an increase in the red blood cell
concentration in the urine, what would this suggest? How about an increase in the white
blood cell urine concentration?
*12.10
For the system shown in
Figure 12.8
, determine a single differential equation that depicts
the movement of the solutes between the various compartments as a function of time,
rate constants, and solute. Assume that the concentration of solute in compartment 1 at
time zero is
q
1
(0), in compartment 2 at time zero is 0, and in compartment 3 is
q
3
(0).
FIGURE 12.8
Three-compartment model
for homework problem 12.10.
Compartment 3
V
3
c
3
K
31
K
32
Δ
x
Compartment 1
Compartment 2
V
1
c
1
V
2
c
2
K
21
K
Urine
Δ
x
Excreted in urine
0.012 min
2
1
and K
3
is equal to 0.034 min
2
1
. At time zero, 75 g of the solute was ingested into the digestive
system compartment and there was no solute in the plasma. See
Figure 12.9
for the com-
partmental setup
12.11
Find the maximum concentration of solute in the plasma if K
1
1
K
2
5
FIGURE 12.9
Two-compartment
model for homework problem 12.11.
Absorbed
into the
body
K
1
Digestive system
Blood plasma
K
3
V
1
V
2
c
2
c
1
Excreted
within the
urine
K
2
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