Introduction

The usual approach in synthetic biology for modeling a genetic network is to describe the interaction of inducers and repressors with promoters. This description is very detailed and very difficult to implement because of the many unknown parameters involved in the differential equations.

We tried an approach called “keep it simple”, so the goal of our model is to describe the relation between the concentration of bicarbonate and the expression of the GFP but with the possibility of make useful predictions for lab.




Let be and .

Where . Suppose that with ,then, we can define and solve the Differential Equation:



with .

Using initial values we have

so that: .

Then we have y and x in terms of t:







Here we have another expression of y in terms of x: