Biomedical Engineering Reference
In-Depth Information
Example 11-1
. A strain of mold was grown in a batch culture on glucose and the following
data were obtained as shown in
Table E11-1
. Do the following:
(a)
Calculate the maximum net specific growth rate.
(b)
Calculate the apparent growth yield.
(c)
What maximum cell concentration could one expect if 150 g of glucose were used with
the same size inoculum?
(d)
How many generations of cells are there in the culture for part c).
TABLE E11-1
Kinetic Data of a Batch Culture
Time, h
Cell concentration, g/L
Glucose concentration, g/L
0
1.0
50.0
10
1.5
48.5
18
2.9
45.2
25
5.5
38.8
33
11.4
24.0
37
16.3
11.8
40
19.2
4.5
44
20.9
0.3
Solution.
(a)
To obtain the maximum net specific growth rate, we calculate the rates using finite differ-
ence scheme as illustrated in the following table:
DX
XDt
;
h
L1
t
,h
X
, g/L
0
1.0
10
1.5
0.040
18
2.9
0.085
25
5.5
0.088
33
11.4
0.087
37
16.3
0.088
40
19.2
0.054
44
20.9
0.021
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