Team:CIDEB-UANL Mexico/Math-Conclusions

Our deterministic model is the best option to represent our complete system because we assume that all the variables behave continuously and obey kinetic rules, in other words, we don´t take in account other variables that are going to disturb our system. Also, it is perfect to model our equations that represent the production of mRNA and proteins of cI, Vip3Ca3, and GFP of each respective part of our system and have something precise with the parameters we get and the graphics that represent the behavior of the concentration of the new substances produced by E.Coli. The probability equation is still in development but we are trying to figure out how the thermosensor can affect the protein translation process, besides the variable of temperature that controls our system. We have to understand that a Math model is never going to be a perfect representation, it tries making the closest prediction according to reality, by adding new variables and parameters, including noise and new equations have them be closer to being a better model. Our math model is only deterministic , adding a stochastic part, like placing a weather variable (rainy or windy day), would make a closer to reality representation

This model is a way of understanding and making assumptions of how the actions and the behavior of the genetic system we introduced in the E.Coli genome as part of the experimentation process of our project.