Biomedical Engineering Reference
In-Depth Information
TABLE P11.2
Run 1
Ti e (h)
0
10
15
20
30
40
50
60
70
Cell density, cells/L
0.27
0.28
1.5
7.0
40.0
60.0
71.5
60.0
52.5
%H
2
S
0.5
0.8
1.0
1.2
6.8
4.7
7.5
8.0
8.2
Run 2
Ti e (h)
0
5
10
15
20
30
40
50
60
Cell density, cells/L
0.27
0.70
1.1
8.0
25.0
35.0
35.0
25.0
%H
2
S
0.1
0.7
0.7
0.8
1.2
4.3
7.5
11.0
12.3
(c)
How long is the stationary phase?
(d)
During which phase does the majority production of H
2
S occur?
11.3.
It is desired to model the growth of an individual bacterium. The cell transports S
1
into
the cell enzymatically, and the permease is subject to product inhibition. S
1
is
converted into precursors, P, that are converted finally into the macromolecular
portion of the cell, M. The catalyst of all reactions is M.
(1) S
1
M
S
1
(per unit surface area), where S*
¼
outside concentration of S
(2) S
1
M
P
)
coupled reaction
Energy
þ P
M
M
S
1
þ
M
Energy
(3a)
(3b) S
1
þ P
M
M
The dry weight of the cell is T and is equal to
(4)
T
cell volume
Write the equations and define all symbols necessary to describe the changes in S
1
,
P, M, and T within the cell. Remember that the cell volume is always changing.
11.4.
The data in
Table P11.4
were obtained for the effect of temperature on the fermentative
production of lactic acid by a strain of Lactobacillus delbrueckii. From these data,
calculate the value of the activation energy for this process. Is the value of the
activation energy typical of this sort of biological conversion?
¼
S
1
þ
P
þ
M
1
¼ r
V, where
r ¼
cell density and V
¼
TABLE P11.4
Temperature,
C,
Rate constant, mol$L
L1
$h
L1
40.4
0.0140
36.8
0.0112
33.1
0.0074
30.0
0.0051
25.1
0.0036
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