Although we have designed the circuits of the postive feedback switch,more details about it still remain ambiguous. For example, in what condition it switches on,how long its response time is ,how much filtering effect it can perform and how good its robustness is,etc.All of these require our modeling and simulating to get the answers. As for application, we are supposed to simulate the state of the bacteria in the intestinal tract in order to improve the design of our project.
In order to make sure that our design can fulfill its duty, we built two mathematical models to simulate it. One is the DDEs/ODEs model, and the other is the Diffusion model, which can predict the outcome of it.
On modeling we focus on two aspects:
1. the prokaryotic pathway and eukaryotic pathway simulation
2. the specific application of lactose intolerance
