Team:SHSBNU China/Modeling
About Our Model
In our project, we release four enzymes produced by our engineering bacteria to degrade the serotonin and guaiacol based on the synchronized lysis circuit (SLC). In order to predict the effectiveness of final design of our project, we did the modeling for the prediction.
In our project, we referred the M. Omar Din et al., Nature, 2016, which provided a marvelous idea for us to release enzymes into environment. In their work, they made the ordinary differential equations to illustrate how the SLC works. Following modeling shows how the population of bacteria is changed based on the SLC.
Equations 1: the dynamics equations of SLC: The ordinary differential equations show the changing rate N(the population of bacteria),H(the concentration of AHL molecules),L(the concentration of lysis protein), I(the concentration of luxI protein).
Table1: the parameters table of SLC.
The changing rate of N (the population of bacteria) is determined by the normal growth of bacteria and L (the concentration of lysis protein). Furthermore, L is changed because of the changeable Plux (Promoter strength). At the same time, H (the concentration of AHL molecules) determines the value of Plux. Also the H are transformed from I (the concentration of Lux I). As the result, the population of bacteria is oscillated in a certain interval over time. Following graph demonstrates that N changes over time.
Figure 1: The trend of bacterial growth with time. The population of bacteria exhibits a oscillation over time.
