Team:TUDelft/Modeling Cascade

From 2009.igem.org

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Image:2d leakage lamp.png|'''1111 :''' parameter vs parameter
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Image:2d leakage lamp.png| Delay Time vs Transcription Leakage of &lambda;p.
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Image:3d alpha2 vs alpha4.png|Translation Rate &alpha;1 vs Translation Rate &alpha;4.
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Image:3d Clamp vs alpha4.png|Maximum Transcription Rate of &lambda;p vs Translation Rate &alpha;4.
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Image:3d CpLac vs Clamp.png|Maximum Transcription Rate of pLac vs Maximum Transcription Rate of &lambda;p.
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Image:3d CpTet vs alpha2.png|Maximum Transcription Rate of pTet vs Translation Rate &alpha;2.
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Image:3d CpTet vs Clamp.png|Maximum Transcription Rate of pTet vs Maximum Transcription Rate of &lambda;p.
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Revision as of 17:17, 29 September 2009

Modeling the Transcriptional Cascade

Negative cascade assembly and overview

A full description of the Transcriptional Cascade can be found here.

ODEs

The kinetic equations were written out in a Matlab script for both transcription and translation.

TUD eq cas.png

Symbol Definition
kIPTGin, kIPTGout rate constants
k50IPTG, k50LacI, k50TetR, k50CI dissociation constants
dmRNA mRNA degradation rate
dTetR, dCI, dRFP, dGFP protein degradation rates
apLac, apTet, aλp transcription leakage (%)
cpLac, cpTet, cλp maximum transcription rates
α1, α2, α3, α4 translation rates
nIPTG, nLacI, nTetR, nCI Hill coefficients
[X]mRNA concentration of X mRNA


Sensitivity

Parameter Normalized Sensitivity
kIPTGin, kIPTGout
k50IPTG, k50LacI, k50TetR, k50CI
dmRNA
dTetR, dCI, dRFP, dGFP
apLac, apTet, aλp
cpLac, cpTet, cλp
α1, α2, α3, α4
nIPTG, nLacI, nTetR, nCI
[X]mRNA

Parameter Sweeps

Delay Time vs Transcription Leakage of λp.

Translation Rate α1 vs Translation Rate α4.

Maximum Transcription Rate of λp vs Translation Rate α4.

Maximum Transcription Rate of pLac vs Maximum Transcription Rate of λp.

Maximum Transcription Rate of pLac vs Maximum Transcription Rate of pTet.

Maximum Transcription Rate of pTet vs Translation Rate α2.

Maximum Transcription Rate of pTet vs Maximum Transcription Rate of λp.

Transcription Leakage of λp vs Transcription Leakage of pTet.

Stability

Jacobian

Test.jpg

1111 : parameter vs parameter

Test.jpg

1111 : parameter vs parameter

Test.jpg

1111 : parameter vs parameter

Test.jpg

1111 : parameter vs parameter

Test.jpg

111 : parameter vs parameter

Test.jpg

1111 : parameter vs parameter

Design Recommendations

Based on the results of the simulations, a series of recommendations were given to the delay team to aid them in choosing parts which would maximize the delay time.

  1. Significant transcription leakages greatly shorten the delay time. Attempt to minimize leakages. Leakage of λp is a far bigger problem than pTet leakage.
  2. Use a weak promoter and a weak RBS on the last stage (λp) of the cascade.
  3. A weak pLac promoters is favorable.
  4. A strong pTet promoter is favorable.
  5. A strong RBS on CI gene is favorable.
  6. A weak RBS on TetR gene is favorable.
  7. A weak RBS on the endonuclease is favorable although a strong RBS can be used for the GFP gene.
  8. When choosing RBS and promoter strengths avoid the red areas on the stability plots.


Retrieved from "http://2009.igem.org/Team:TUDelft/Modeling_Cascade"