/Modeling

Oscillator Modelling 1

 * TetR concentration
 * CII concentration.
 * 1/3min intervals.

Variables Used
Time segment used for the calculation: 1/3mins Maximum amount of Repressors that can stop promoter activity: 10 (an arbitrary number)

Formulas used
span.bigger{font-size:141%;} Calculating the strength of the pTet promoter when there are repressors around:

pTetcurrent = pTetmax*1-1/Tetmax*[TetR]    - (1) Calculate the amount of each protein produced: CII = pTetcurrent    - (2) TetR = [CII] * pREmax    - (3) GFP = [CII] pTetcurrent    - (4)

The calculation of amount of substrates remaining w.r.t the half lives: [CII] = [CII] x 0.5(&Delta;t / CII-t1/2)    - (5) [TetR] = [TetR] x 0.5(&Delta;t / TetR-t1/2)    - (6) [GFP] = [GFP] x 0.5(&Delta;t / GFP-t1/2)    - (7)

Conclusion
The only variables are:
 * The relative strength of pRE relative to pTet (since it has not been measured yet)
 * the weaker pRE is relative to pTet, the slower the oscillator dampens.
 * Maximum amount of repressor such that adding more repressors will not affect the strength of pTet anymore.
 * Amplitude of TetR oscillation is directly proportional.