Using Gompertz Model to Compare the Growth Curve of Two Bacterias

by Mervyn Cedre

 

Submitted : Fall 2011

The typical growth curve for any bacteria has an S-shaped form, where N/N₀ represents the ratio of number of bacteria to the initial population and t is the time.

Several parameters are use in characterizing the growth curve:

1. The Asymptote A, which represents the ultimate value of ln N/N₀

2. The lag time t_L

3. The maximum specific growth rate.

Gompertz model is the model that we will use to represent the growth curve:

y = a. exp [-exp (b-ct) = (ae^{-e^ (b-ct)})

where a, b, and c are constants, which can be obtained by fitting data

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	Advisors :
	Arcadii Grinshpan, Mathematics and Statistics
	Scott Campbell, Chemical & Biomedical Engineering
	Suggested By :
	Scott Campbell