Reference no: EM131434855
Assignment: LASA: Bacterial Growth
As a medical research technician, you have been assigned the task of modeling the growth of five different strains of the E. coli bacteria. These bacteria are grown in Petri dishes and exposed to the same environmental conditions (food source, pressure, temperature, light, etc.). Each hour, you count and record the number of bacterial cultures in each of the sample Petri dishes. The results for the first 7 hours of observations are recorded in the chart below:
|
Bacterial Sample
|
Hour 1
|
Hour 2
|
Hour 3
|
Hour 4
|
Hour 5
|
Hour 6
|
Hour 7
|
|
1
|
16
|
64
|
256
|
1024
|
4096
|
16,384
|
65,536
|
|
2
|
97
|
291
|
873
|
2619
|
7857
|
23,571
|
70,713
|
|
3
|
112
|
784
|
5488
|
38,416
|
268,912
|
1,882,384
|
13,176,688
|
|
4
|
7
|
63
|
567
|
5103
|
45,927
|
413,343
|
3,720,087
|
|
5
|
143
|
286
|
572
|
1144
|
2288
|
4576
|
9152
|
Directions: Assuming that the growth pattern for each bacterial sample follows a geometric sequence, determine the following:
1 Determine the rate at which the culture grows in a hour. This rate will be the factor r by which the number of bacterial cultures has increased since the last recorded observation.
2 Write a formula that represents the growth of this bacteria based upon your observations. Your formula will be based upon the basic format for a geometric sequence:
an =a1 rn-1
3 Using the formula you've developed, determine the number of cultures you would expect to see in the Petri dish on the 8th, 10th, and 12th hour of your observations.
4 Compute the total number of bacterial cultures observed after 24 hours of growth assuming that the growth follows a geometric series.
5 Repeat steps 1-4 for all five bacterial samples.
In a Microsoft Word document, prepare a report that includes answers to the following:
1 Report the results of the calculations you performed above.
2 Which strain of E. coli exhibited the highest growth rate?
3 Which strain of E. coli exhibited the lowest growth rate?
4 Assuming that all five of the E. coli strains present a high toxicity danger to humans, which do you suppose would be the most manageable based upon growth? Why?
5 Consider how you've modeled the growth of the E. coli strains using the concept of geometric sequence. Is this a realistic approach to modeling bacterial growth?
6 What other factors do you think should be considered when modeling the growth of bacteria such as E. coli?
7 Conduct an Internet search for research on E. coli. Look for information related to growth rate, environmental conditions conducive to growth, methods of controlling growth, etc.
|
What method will you use to evaluate the training program
: Using the ADDIE model, design a training program that addresses the customer service expectations of walk-in patients in the emergency department. Include an evaluation process that answers the following questions What method will you use to evalu..
|
|
Calculate or look up the cost of capital
: Calculate or look up the cost of capital for the firm AT&T. Ideally you calculate this using the various inputs, but a good source of this information can be found at
|
|
Discuss potential structure for physician integration
: HS450: Many healthcare leaders believe that physician-hospital alignment is one of the greatest challenges facing the U.S. healthcare system. Hospitals and physicians are faced with the task of finding innovative ways to collaborate while taking a..
|
|
What is the net present value of investment
: A. What is the net present value of each investment? B. What is the internal rate of return of each investment? C. Which investment(s) should the firm make?
|
|
Determine the rate at which the culture grows in a hour
: Determine the rate at which the culture grows in a hour. This rate will be the factor r by which the number of bacterial cultures has increased since the last recorded observation.
|
|
Compare the competencies that ulrich and shrm present
: After reading all the material assigned, summarize why the authors recommend that many HR functions within organizations need to transform. What are the end results the authors are looking for in the transformation? Be sure to provide in-text cita..
|
|
Find the rate of return
: A month later, futures price increases 4% increase. Find the rate of return. (Report in percentage such as 25 instead of 0.25.) (margin for error: +/- 1%).
|
|
Find the solution in a vector form of the given system
: Find the solution in a vector form of the given system. Find the particular solution of the homogeneous differential equation with the given initial condition.
|
|
Discuss about your ethical considerations analysis
: First provide a key outline of the work below. This is due on 16 Mar include any notes that you feel are appropriate. The purpose of this assignment is to help improve the quality of the IP5.During the past few weeks, you have considered the vario..
|