Biomedical Engineering Reference
In-Depth Information
TABLE E16-6.2
Spreadsheet Calculations of Least-Square Fit to
Eqn (16.52)
y
0
y
þ0
¼
9
y
0
y
þ0
<
58
10
4
;
Dm¼
0.09733/h;
10
8
;
Dm¼
0.1072/h;
10
8
/h
m
/
þ
¼
6.93
10
4
/h
:
m
/
þ
<
D
¼
0.30/h
D
¼
0.67/h
Dy
2
L
Dy
2
L
Time, h
y
L
y
Lcomputed
Time, h
y
L
y
Lcomputed
1
10
8
0
<
0.002
0.000958
0
<
0.002
4.96
10
5
8.2
10
6
11.6
0.01
0.002956
10.3
0.01
0.012864
23.1
0.03
0.008998
0.00044
20.7
0.035
0.050319
0.00024
6.72
10
6
46.2
0.13
0.079197
0.00258
31
0.15
0.147408
9.78
10
5
57.8
0.22
0.210111
41.4
0.34
0.350863
0.00012
69.3
0.39
0.448946
0.00348
51.7
0.65
0.621757
0.00080
80.9
0.76
0.715881
0.00195
62.1
0.81
0.83406
0.00058
2.79
10
5
6.7
10
5
92.4
0.88
0.885284
72.4
0.93
0.938187
1.3
10
6
104
0.97
0.959786
0.00010
82.8
0.98
0.978859
5.05
10
5
116.5
1
0.986505
0.00018
93.1
1
0.992893
2.08
10
6
5.48
10
6
138.6
1
0.998558
103.5
1
0.997658
s ¼
0.03146
s ¼
0.01441
The value of other growth parameters can be computed as
m
G
þ
¼ m
G
Dmþm
=þ
¼ 0:3
0
:
09733
=
h
¼ 0:20267=
h
P
=þ
¼ m
=þ
= m
G
þ
< 510
8
1.0
1.0
= 0.3 h
-1
D
= 0.67 h
-1
D
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0.0
0.0
0 0 0 0 0 0 0 0 0
0
20
40
60
80
100
120
140
160
time, h
time, h
FIGURE E16-6
Plasmid instability of Escherichia coli B/r-pDW17 in a chemostat.
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