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Team:NCTU Formosa/Modeling
From 2012.igem.org
As we know, isobutanol is toxic to E.coli. So, we wonder how much E.coli can tolerate isobutanol. Therefore, we make a model to calculate the doubling time. According to the following figures, we realize that the maximum concentration of isobutanol that seriously hinder E.coli growth is 1.3%. The figure gives us an important information to help us understand the growing condition of E.coli and to adjust the incubation time in our project.
Figure 1.
Figure 2.
According to the equation of Thomas Robert Malthus, we can get the doubling time of E.coli in the following table.
Figure 3.
Figure 4.
Theoretically, through calculation with the Thomas Robert Malthus equation, we supposed to have a higher doubling time in higher concentration. However, there was an unexpected data occurred as shown in the table above. This phenomenon occurred in the doubling time of E.coli when it was cultured in 2% isobutanol concentrated medium. According to the equation we utilized, the doubling time should be higher than that of 1.3% isobutanol concentrated medium. We pondered this phenomenon may be because in 2% isobutanol concentrated medium, the E.coli appeared to have a shorter lag phase than that of the other lower concentrated medium, therefore affecting the algebra of the function S(t). But overall, despite the phenomenon described above, our modeling meet our expectation.
Figure 5.The OD value under three different temperature（Ave=Average of three OD value
Figure 6.Simulation diagram and doubling time.
