assume that ka is zero during the exponential growth phase.

Human Anatomy & Physiology (11th Edition)
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Chapter1: The Human Body: An Orientation
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7.
E. Coli bacteria were grown in a 5.0 L batch cell culture reactor, with the following data collected:
Cell Count (per mL)
10,277,000
Inoculation Time --->
Time
11:19 am
11:35 am
11:57 pm
12:08 pm
12:45 pm
1:07 pm
1:11 pm
1:16 pm
1:19 pm
1:34 pm
1:46 pm
1:57 pm
2:09 pm
2:33 pm
10,313,000
20,984,000
29,750,000
60,202,000
210,909,000
224,750,000
227,960,000
229,216,000
229,115,000
227,260,000
204,935,000
183,745,000
146,103,000
(inoculation is when the cells are first put
in the growth media)
A. Draw a log10 X vs. time graph and label the phases for batch cell growth.
B. Calculate the specific growth rate, μ, and mass doubling time, td, for the exponential growth phase.
C. Calculate kd, the specific rate of cell mass loss due to cell death
(For B & C, it will be helpful to re-plot the y-axis as In X or In (X/X.), and focus on only the data in that phase)
Using spreadsheet software will be helpful in drawing this graph and analyzing data for parts B & C. Be as quantitative as
possible, especially with the slopes of the growth and death phases. Use the inoculation time as time zero. You may
assume that kis zero during the exponential growth phase.
Transcribed Image Text:7. E. Coli bacteria were grown in a 5.0 L batch cell culture reactor, with the following data collected: Cell Count (per mL) 10,277,000 Inoculation Time ---> Time 11:19 am 11:35 am 11:57 pm 12:08 pm 12:45 pm 1:07 pm 1:11 pm 1:16 pm 1:19 pm 1:34 pm 1:46 pm 1:57 pm 2:09 pm 2:33 pm 10,313,000 20,984,000 29,750,000 60,202,000 210,909,000 224,750,000 227,960,000 229,216,000 229,115,000 227,260,000 204,935,000 183,745,000 146,103,000 (inoculation is when the cells are first put in the growth media) A. Draw a log10 X vs. time graph and label the phases for batch cell growth. B. Calculate the specific growth rate, μ, and mass doubling time, td, for the exponential growth phase. C. Calculate kd, the specific rate of cell mass loss due to cell death (For B & C, it will be helpful to re-plot the y-axis as In X or In (X/X.), and focus on only the data in that phase) Using spreadsheet software will be helpful in drawing this graph and analyzing data for parts B & C. Be as quantitative as possible, especially with the slopes of the growth and death phases. Use the inoculation time as time zero. You may assume that kis zero during the exponential growth phase.
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