Team:EPF-Lausanne/ODEmodeling

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(New page: '''1.''' LacI --> LovTAP Image:DLdt.png '''2.''' LovTAP --> LovTAP* (activated form of LovTAP due to a light-induced conformational change) Image:Lstar.png '''3.''' lovTAP* -...)
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<font size="6" color="#007CBC">Modeling with differential equations</font>
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'''1.''' LacI --> LovTAP
'''1.''' LacI --> LovTAP

Revision as of 15:03, 21 October 2009



Modeling with differential equations

1. LacI --> LovTAP

DLdt.png


2. LovTAP --> LovTAP* (activated form of LovTAP due to a light-induced conformational change)

Lstar.png


3. lovTAP* --> TetR

DTdt.png

4. TetR --> RFP

DRdt.png

5. RFP --> RFP* (activated, fluorescent)

DRstardt.png


Where:

  • L is the concentration of lovTAP [um]
  • L* is the concentration of the activated lovTAP (all lovTAP molecules become activated when exposed to light stimulation) [um]
  • T is the concentration of TetR [um]
  • R is the concentration of RFP [um]
  • R* is the concentration of activated RFP [um]
  • Theta.png is the function of light exposure
  • Alpha 0.png is the basal expression of the given promoter
  • K is the affinity of the given repressor for its target promoter [um]
  • n is the cooperativity coefficient of the Hill function
  • Gamma.png is the molecule degradation rate [min -1]
  • Delta.png is the dilution rate [min -1]
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