Scribd
Upload
811 views4 pages

Biomedical Growth Calculations

This homework assignment involves solving several problems related to cell culture growth kinetics: 1) Determine the time for a cell culture to triple in size given an initial population of 100 cells that increases 1.5 times every 12 hours. Also determine the time for a culture of 1 million cells to triple. 2) Calculate the initial cell concentration given concentrations of 400 cells/mL after 3 hours and 2000 cells/mL after 10 hours. 3) Calculate the time needed for an E. coli culture to reach 400 million cells/L given an initial concentration of 10,000 cells/L and information about growth parameters. 4) Analyze data from a batch culture of mold over time to determine the specific growth

Uploaded by

xryceu
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
811 views4 pages

Biomedical Growth Calculations

This homework assignment involves solving several problems related to cell culture growth kinetics: 1) Determine the time for a cell culture to triple in size given an initial population of 100 cells that increases 1.5 times every 12 hours. Also determine the time for a culture of 1 million cells to triple. 2) Calculate the initial cell concentration given concentrations of 400 cells/mL after 3 hours and 2000 cells/mL after 10 hours. 3) Calculate the time needed for an E. coli culture to reach 400 million cells/L given an initial concentration of 10,000 cells/L and information about growth parameters. 4) Analyze data from a batch culture of mold over time to determine the specific growth

Uploaded by

xryceu
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 4

Homework 7 BME 260L

DUE Tues. April 12th


Name KEY

1. A cell culture is initially composed of 100 cells. After 12 hours the number of cells is
1.5 times the number in the initial population.

a. If the rate of growth is proportional to the number of cells present, determine the
time necessary for the number of cells to triple.
b. What is the time required for a culture with 1 x 106 of the same cells to triple?
Explain your results.
c. Under what conditions would the answers obtained in part b) be invalid?
2. For a specific type of cell after 3 hours, the concentration of cells per milliliter of solution
is about 400/mL. After 10 hours the concentration has gone up to 2000/mL. Determine the
initial concentration of cells.

3. Researchers found that in order to produce a recombinant protein from an E. Coli


population they needed a cell density of 400 million cells/L. How long would it take to
reach this cellular density if the initial inoculation density was 10,000 cells/L the glucose
concentration was 100g/L and a small concentration of Apoptosis Inducing Factor was
seen in the growth medium of 5g/L? Use the following information.
kp,max=1.3hr-1
=0.02hr-1
Ks =2.2x10-5 g/L

1 cell= 1ng
4. A strain of mold was grown in a batch culture on glucose and the following data were
obtained:
Time (hr) Cell Concentration (g/L) Glucose Conc. (g/L)
0 1.25 100
9 2.45 97
16 5.1 90.4
23 10.5 76.9
30 22 48.1
34 33 20.6
36 37.5 9.38
40 41 0.6

a. Find the specific growth rate ().


b. Find the maximum cell concentration that may be obtained if 150 g/l of glucose
were used with the same initial inoculum (at t=0)

You might also like