Team:NYMU-Taipei/Project/Removal/Modeling
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- | === | + | === Oscillator Modelling 1 === |
- | + | [[Image:NYMU oscillator modelling.png|800px]] | |
- | + | * <font color="red">'''TetR'''</font> concentration | |
- | + | * <font color="darkblue">'''CII'''</font> concentration. | |
- | + | * 1/3min intervals. | |
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- | === | + | ==== Variables Used ==== |
- | + | {| border="1" | |
- | + | ! !! Protein Name !! Half-life (min) !! Promoter !! Promoter Strength (relative) | |
- | { | + | |- |
- | + | ! Inducer || CII || 8 [1] || pRE || 0.025 (est) | |
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- | | | + | ! Repressor || TetR || 40 (est due to LVA tag) || pTet || 1 |
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- | + | ! Reporter || GFP || 2160 [2] || || | |
- | + | |} | |
- | + | Time segment used for the calculation: 1/3mins | |
- | + | Maximum amount of Repressors that can stop promoter activity: 10 (an arbitrary number) | |
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- | === | + | ==== Formulas used ==== |
- | { | + | <html><style>span.bigger{font-size:141%;}</style></html> |
- | + | Calculating the strength of the pTet promoter when there are repressors around: | |
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- | = | + | <span class="bigger">pTet<sub>current</sub> = pTet<sub>max</sub>*1-1/Tet<sub>max</sub>*[TetR]</span> ----- (1) |
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- | + | Calculate the amount of each protein produced: | |
- | + | <span class="bigger">CII = pTet<sub>current</sub></span> ----- (2) | |
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- | + | <span class="bigger">TetR = [CII] * pRE<sub>max</sub></span> ----- (3) | |
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- | + | <span class="bigger">GFP = [CII] pTet<sub>current</sub></span> ----- (4) | |
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- | == | + | |
- | + | The calculation of amount of substrates remaining w.r.t the half lives: | |
- | + | <span class="bigger">[CII] = [CII] x 0.5<sup>(Δt / CII-t<sub>1/2</sub>)</sup></span> ----- (5) | |
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- | + | <span class="bigger">[TetR] = [TetR] x 0.5<sup>(Δt / TetR-t<sub>1/2</sub>)</sup></span> ----- (6) | |
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- | + | <span class="bigger">[GFP] = [GFP] x 0.5<sup>(Δt / GFP-t<sub>1/2</sub>)</sup></span> ----- (7) | |
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- | + | ==== Conclusion ==== | |
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- | + | 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. | |
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+ | ==== References ==== | ||
+ | [1] Shotland, ''et al'': [http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=94496 Proteolysis of Bacteriophage λ CII by Escherichia coli FtsH (HflB)]. J Bacteriol. 2000, 182(11): 3111–3116 |
Latest revision as of 21:03, 21 October 2009
Contents |
Oscillator Modelling 1
- TetR concentration
- CII concentration.
- 1/3min intervals.
Variables Used
Protein Name | Half-life (min) | Promoter | Promoter Strength (relative) | |
---|---|---|---|---|
Inducer | CII | 8 [1] | pRE | 0.025 (est) |
Repressor | TetR | 40 (est due to LVA tag) | pTet | 1 |
Reporter | GFP | 2160 [2] |
Time segment used for the calculation: 1/3mins Maximum amount of Repressors that can stop promoter activity: 10 (an arbitrary number)
Formulas used
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(Δt / CII-t1/2) ----- (5) [TetR] = [TetR] x 0.5(Δt / TetR-t1/2) ----- (6) [GFP] = [GFP] x 0.5(Δt / 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.
References
[1] Shotland, et al: [http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=94496 Proteolysis of Bacteriophage λ CII by Escherichia coli FtsH (HflB)]. J Bacteriol. 2000, 182(11): 3111–3116