Team:CIDEB-UANL Mexico/math capture

The capture module is based in the use of NhaS, but as NhaS was not the only gene expressed in the circuit. Also RFP was used as a reporter. It was needed to consider this as a factor. The circuit is shown below:

As it is shown in the circuit, the transcription rate is affected by Uv light. Uv promoters, according to Shuang Li’s team (2006), have less efficiency than constitutive promoters, which is approximately 60% of constitutive promoters.

\begin{equation} \large \frac{d\left [ mRNA \right ]}{dt}=\alpha_{1}\cdot f_{y}-d1\left [ mRNA \right ] \end{equation}
\begin{equation} \large f_{y}=0.6 \end{equation}

It was assumed that “f_y”, is the regulatory function that can activate or inhibit the system of given gene; it was assumed 0.6 of the percentage given by Shuang Li’s team. Uv rays activate the promoter, but it is not as efficient as constitutive promoters in the transcription process.

The parameters for translation and transcription rates from Singapore 2008 team were used, as well as the transcription and translation speeds carried out by E. coli, assuming a transcription speed of 70nt/s and a translation speed of 40aa/s. They were used in the equations below with the NhaS and RFP gene (1019nt), NhaS with 69aa.

It was not needed to model RFP because is not the purpose of the team, so this section is only focused in NhaS.