Modeling

The numerical model was applied to investigate the relationship between the concentration concentration of DNA and the fluorescence value of the plasmids transferred into gene fragments, including pUC57-cagA, pUC57-inVA, pUC57-ipaH and Puc57-16S. Table 1 presents the experimental data of the fluorescence values of the four plasmids and concentration of DNA.

Modeling steps:

1. Analyze the scatter plot of 4 groups of samples;
2. Select the appropriate model
3. Analyze the comparison curve.Model : Hermite interpolation model
(Emmett interpolation model
The specific procedures are as follows:

DNA_0=[0 1 2 4];
PUC57_cagA_0=[2635808 2929973 2943897 3593478];
PUC57_inVA_0=[2875848 3142023 3833321 5684118];
PUC57_ipaH_0=[2953330 2952940 3667676 4101707];
PUC57_16S_0=[2316060 2381208 3289690 3759060];
DNA=[0:0.05:4.1];
PUC57_cagA=interp1(DNA_0,PUC57_cagA_0,DNA,'pchip');
PUC57_inVA=interp1(DNA_0,PUC57_inVA_0,DNA,'pchip');
PUC57_ipaH=interp1(DNA_0,PUC57_ipaH_0,DNA,'pchip');
PUC57_16S=interp1(DNA_0,PUC57_16S_0,DNA,'pchip');
subplot(2,2,1)
plot(DNA,PUC57_cagA,'b',DNA_0,PUC57_cagA_0,'r*','LineWidth',2)
subplot(2,2,2)
plot(DNA,PUC57_inVA,'b',DNA_0,PUC57_inVA_0,'r*','LineWidth',2)
subplot(2,2,3)
plot(DNA,PUC57_ipaH,'b',DNA_0,PUC57_ipaH_0,'r*','LineWidth',2)
subplot(2,2,4)
plot(DNA,PUC57_16S,'b',DNA_0,PUC57_16S_0,'r*','LineWidth',2)
        

Figure 1. The relationship between the concentration concentration of DNA and the fluorescence value of the four plasmids.

The fluorescence value of pUC57-cagA increased slowly and then increased linearly with increasing DNA concentration. The fluorescence value of pUC57-inVA increased linearly with increasing DNA concentration. However, the fluorescence value of pUC57-ipaH and Puc57-16S increased first, and then stabilized with increasing DNA concentration.The model was used to predict the relationship between the fluorescence value and the DNA content of pathogenic bacteria in the sample.It has important biological significance for studying pathogenic bacteria.