Team:Shanghai United HS/Model

Shanghai_United_HS

Model

Model of ClyR Expression

Experimental bacteria：E. coli Nissle 1917

Experimental plasmid:
Plasmid A(puc57-kan-mini-J23101-OmpA-araB-TT)
Plasmid B(pBAD-Myc-HisA-OmpA-ClyR-6His-TT).

Procedure
The araboxylan with final concentration 0, 0.3%, 0.6%, 1.0%, 1.5% and 2.0% (w/v) was added into the system to induce ClyR expression.

Modeling

Table 1. The protein concentration of the culture supernatant of E. coli with plasmids A and B.

In order to analyze the relationship between the concentration of araboxylan and the amount of the induced protein ClyR, we have tested various equations bu Matlab. After rigorous comparison, we choose to adopt the following equation which is normally used in many biological models:

And its analytic expression will be:

It is an exponential function with a constant to improve the fit. Following are the modeling results with the fitting degree 0.99 which is higher than the fitting degree (0.92) of the classical exponential function.

Figure 1. Modeling results of ^{y=be^ax+c}

Figure 2. The fitting curve of ^{y=be^ax+c} model

Conclusion

According to the proposed model of the relationship between the concentration of araboxylan and the amount of the induced protein ClyR, it indicates that the amount of induced ClyR gradually increases by the concentration of araboxylan(< 2%, w/v). This model could be used to help decide the concentration range of araboxylan in the future which could ensure the amount of ClyR, namely the core of our product, to take effects in eliminating Gram-positive bacteria in the oral cavity and treating dental caries when people use our products.