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Modeling of the Toxin-antitoxin System

Our project aims to build up a toxin-antitoxin system of two strains of E.coli cells to realize the control on population ratio. As indicated in the former part of our modeling work, the auxotroph system is robust, but it might fail when the maximum growth rates are not suitable. What’s worse is that the maximum growth rates are difficult to change. So we seek to find another approach to tune the population ratio.

We build up a model for toxin-antitoxin system, which could be described using the ODEs below: