Difference between revisions of "Team:Worldshaper-XSHS/Model"
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| − | + | (2) When the concentration of nicotine equals to 0.01 g/L, the plate reader can still detect fluorescence, but the fluorescence intensity is lower than that of 0.001 g/L, and the whole curve tends to be gentle. The fitted function is | |
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| − | + | The growth index is 1.205, which is significantly less than that of 0.001 g/L. We conjecture that under this concentration, nicotine shows toxicity to bacteria. | |
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| + | (3) When the concentration of nicotine equals to 0. 1 g/L, the fluorescence detected at several time points are substantially lower than those of the blank control, with negative values. We conjecture that 0.1 g / L of nicotine shows significant toxicity to the strain, which will trigger a large number of damage or death of the bacteria, resulting in a decrease in fluorescence value. At 4-hour timepoint, a peak of fluorescence expression appeared, probably because the strongest induction effect of nicotine is shown at the certain time, offsetting some of the variation in fluorescence intensity caused by bacterial damage. The fitted function is: | ||
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| + | The growth index here is -3.65, indicating that this concentration of nicotine has seriously affected bacteria growth. | ||
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| + | When the concentration of nicotine equals to 1 g/L, the fluorescence intensity is basically negative. We suppose that this concentration of nicotine causes great damage to the bacteria. The fitted function is: | ||
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Revision as of 12:53, 15 October 2018
Nicotine detection model
To detect the existence of nicotine better, we made the first and second versions of system. Built on the pSB1C3 backbone, the former version contains a nicA2 promoter and a GFP gene, while the latter adds a T7 RNA polymerase gene and a T7 promoter in the middle of the former design, so as to enhance the expression of the fluorescence. Via experiments, we learnt that the activity of the nicA2 promoter is regulated by the concentration of nicotine, so we applied different concentrations on both designs for test, and used the results to build the following math models using MATLAB (R2018b). Correlation of the growth of first detection system with nicotine concentration
(A) Assumptions for the model:
1. The growth of the E. coli strain can be regarded as exponential within 4 hours
2. The concentration of nicotine in the environment is constant
3. The nicotine concentration is beyond the detection limit of the promoter
4. The fluorescent protein shows no significant sign of degradation
(B) Model used:
Where t stands for time; k is the assumed index of the bacteria growth, which is related to the concentration of nicotine; k_c is the index of fluorescence expression
(C)Time-varying fluorescence intensity under different concentrations of nicotine
（1) When the concentration of nicotine equals to 0.001 g/L, the fluorescence can be detected by the plate reader. With the passage of time, the fluorescence expression increases, which is significant at the 4-hour timepoint. The function is fitted as following:
In this model, the growth index is positive, indicating that this concentration of nicotine did show no significant toxicity to the bacteria.
(2) When the concentration of nicotine equals to 0.01 g/L, the plate reader can still detect fluorescence, but the fluorescence intensity is lower than that of 0.001 g/L, and the whole curve tends to be gentle. The fitted function is
The growth index is 1.205, which is significantly less than that of 0.001 g/L. We conjecture that under this concentration, nicotine shows toxicity to bacteria.
(3) When the concentration of nicotine equals to 0. 1 g/L, the fluorescence detected at several time points are substantially lower than those of the blank control, with negative values. We conjecture that 0.1 g / L of nicotine shows significant toxicity to the strain, which will trigger a large number of damage or death of the bacteria, resulting in a decrease in fluorescence value. At 4-hour timepoint, a peak of fluorescence expression appeared, probably because the strongest induction effect of nicotine is shown at the certain time, offsetting some of the variation in fluorescence intensity caused by bacterial damage. The fitted function is:
The growth index here is -3.65, indicating that this concentration of nicotine has seriously affected bacteria growth.
When the concentration of nicotine equals to 1 g/L, the fluorescence intensity is basically negative. We suppose that this concentration of nicotine causes great damage to the bacteria. The fitted function is:
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