# Team:NYMU-Taipei/Modeling/ModSensors/ explanation

### From 2013.igem.org

## Explanation:

In this equation, **PoPSconstitutive** represents the promoter strength of promoter J23102, which is measured by the rate of RNApolymerase binding to the starting site of DNA transcription.

For the section of the equation, **PoPSconstitutive\times\frac{N}{V}** represents the synthesizing rate of **mRNAOxyR** ; **-KdegmRNA[mRNAOxyR]** represents the degrading rate of **mRNAOxyR** .

In this equation, **RBS** represents ribosome binding site strength, which is the affinity of ribosome to the starting site of mRNA.

For the section of the equation, **RBS×[mRNAoxyR]** represents the synthesizing rate of **OxyR**; **KdegOxyR[xyR]** represents the degrading rate of **OxyR** .

This equation shows the equilibrium of ROS + OxyR → OxyR* (**KOxyR*** is the rate constant of ROS + OxyR → OxyR*)

In this equation, **PoPSTrxC** represents the promoter strength of promoter TrxC, which is measured by the rate of RNApolymerase binding to the starting site of DNA transcription; \frac{ {[OxyR*]} ^{{n}^{OxyR*}}}{{{KdOxyR*}^{{n}^{OxyR*}}}+{[OxyR*]}^{{n}^{OxyR*}}}

represents the hill effect of activator OxyR* to TrxC promoter.

The production rate of *mRNATetR, mRNALuxI, mRNALuxR* can be written as \frac{d[mRNALacI]}{dt}=\frac{ [mRNALuxI] }{dt}=\frac{ [mRNALuxR] }{dt}
=\frac{ {[OxyR*]} ^{{n}^{OxyR*}}}{{{KdOxyR*}^{{n}^{OxyR*}}}+{[OxyR*]}^{{n}^{OxyR*}}}\times{PoPSTrxC}\times\frac{N}{V}

, which is under the influence of activator *OxyR** binding to TrxC promoter.