Problem 1. A culture medium is grown in a simple medium including 0.3% wt/vol of glucose; at time t =0, it is inoculated into a larger sterile volume of the identical medium. The optical density (OD) at 420 nm vs. time following inoculation is given in column 1. The same species cultured in a complex medium is inoculated into a mixture of 0.15% wt/vol glucose and 0.15% wt/vol lactose: the subsequent OD vs. time data are given in column 2. If OD (420 nm) is linear cell density with 0.175 equal to 0.1 mg dry weight of cells per milliliter, evaluate the maximum specific growth rate μmax, the lag time tag and overall yield factors Y (gram of cell per gram of substrate), assuming substrate exhaustion in each case. Explain the shape of the growth curves in each case. Time, h OD (1) (2) 0 0.06 0.06 0.5 0.08 0.06 1.0 0.11 0.06 1.5 0.14 0.07 2.0 0.20 0.10 2.5 0.26 0.13 3.0 0.37 0.18 3.5 0.49 0.26 4.0 0.35* 0.32 4.5 0.44* 0.43 5.0 0.52* 0.48 5.5 0.52* 0.50 6.0 0.52 6.5 0.30* 7.0 0.42* 7.5 0.50* 8.0 0.50* * sample diluted two fold before OD measurement

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Chapter5: Matter Waves
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Problem 1. A culture medium is grown in a simple medium including 0.3% wt/vol of glucose; at
time t =0, it is inoculated into a larger sterile volume of the identical medium. The optical density
(OD) at 420 nm vs. time following inoculation is given in column 1. The same species cultured
in a complex medium is inoculated into a mixture of 0.15% wt/vol glucose and 0.15% wt/vol
lactose: the subsequent OD vs. time data are given in column 2. If OD (420 nm) is linear cell
density with 0.175 equal to 0.1 mg dry weight of cells per milliliter, evaluate the maximum
specific growth rate μmax, the lag time tag and overall yield factors Y (gram of cell per gram of
substrate), assuming substrate exhaustion in each case. Explain the shape of the growth curves in
each case.
Time, h
OD
(1)
(2)
0
0.06
0.06
0.5
0.08
0.06
1.0
0.11
0.06
1.5
0.14
0.07
2.0
0.20
0.10
2.5
0.26
0.13
3.0
0.37
0.18
3.5
0.49
0.26
4.0
0.35*
0.32
4.5
0.44*
0.43
5.0
0.52*
0.48
5.5
0.52*
0.50
6.0
0.52
6.5
0.30*
7.0
0.42*
7.5
0.50*
8.0
0.50*
*
sample diluted two fold before OD measurement
Transcribed Image Text:Problem 1. A culture medium is grown in a simple medium including 0.3% wt/vol of glucose; at time t =0, it is inoculated into a larger sterile volume of the identical medium. The optical density (OD) at 420 nm vs. time following inoculation is given in column 1. The same species cultured in a complex medium is inoculated into a mixture of 0.15% wt/vol glucose and 0.15% wt/vol lactose: the subsequent OD vs. time data are given in column 2. If OD (420 nm) is linear cell density with 0.175 equal to 0.1 mg dry weight of cells per milliliter, evaluate the maximum specific growth rate μmax, the lag time tag and overall yield factors Y (gram of cell per gram of substrate), assuming substrate exhaustion in each case. Explain the shape of the growth curves in each case. Time, h OD (1) (2) 0 0.06 0.06 0.5 0.08 0.06 1.0 0.11 0.06 1.5 0.14 0.07 2.0 0.20 0.10 2.5 0.26 0.13 3.0 0.37 0.18 3.5 0.49 0.26 4.0 0.35* 0.32 4.5 0.44* 0.43 5.0 0.52* 0.48 5.5 0.52* 0.50 6.0 0.52 6.5 0.30* 7.0 0.42* 7.5 0.50* 8.0 0.50* * sample diluted two fold before OD measurement
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