Multi-Systems Model
Fulfilled the first of our objectives, we could aim the next target: Predict the behaviour of more complex constructs, using more than one Quorum Sensing System!
Using the parameters results, more specifically alfa, we can try to predict the interaction between two or more systems when used together, being able to forecast their behaviour in different applications. For this, at first, we need to increase the complexity of our model, making a combination of two systems of equations. So, as usual in math, we start with the simplest case scenario: Two systems producing two different proteins.
In this new proposal, some new parameters and interactions emerge, due to new properties of the interaction: Now we have not only the promoter crosstalk, but also the chemical crosstalk, the interaction between the Homoserine-lactone and the receptor of different systems.
Therefore, using the first model as base, we can go directly to the visual representation of the system, so we can visualize it. In the likes of the first model, we have the following notation: