Timer-SUMO-KillSwitch
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<h2 align="center">Timer-SUMO-KillSwitch</h2> | <h2 align="center">Timer-SUMO-KillSwitch</h2> | ||
<br> | <br> | ||
- | <p align="justify">The <a href="https://2013.igem.org/Timer_Plus_Sumo">Timer plus SUMO </a> and | + | <p align="justify">The separate modules: <a href="https://2013.igem.org/Timer_Plus_Sumo">Timer plus SUMO </a> and <a href="https://2013.igem.org/KillSwitch">Kill Switch</a> are combined to form the complete model of the system: Timer - SUMO - Kill Switch. For the final model, the kill switch module is converted in such a way so as the holin and antiholin to be activated by the Pci promoter. |
</p> | </p> | ||
+ | |||
+ | |||
+ | <h2 align="center">Differential Equations</h2> | ||
+ | <center> | ||
+ | <img src="https://static.igem.org/mediawiki/2013/8/87/Combined_equations.png" > | ||
+ | </center> | ||
+ | <h2 align="center">Parameters</h2> | ||
+ | |||
+ | </html> | ||
+ | |||
+ | |||
+ | <p> | ||
+ | {| align="center" border="1" | ||
+ | |'''Parameter''' | ||
+ | |'''Value''' | ||
+ | |'''Description''' | ||
+ | |'''Units''' | ||
+ | |'''Reference''' | ||
+ | |- | ||
+ | |a | ||
+ | |1020 | ||
+ | |Translation rate per amino acid | ||
+ | |min<sup>-1</sup>#<sub>a</sub><sup>-1</sup> | ||
+ | | [[Team:TUDelft/Modeling_References|[7]]] | ||
+ | |- | ||
+ | | c<sub>T7</sub> | ||
+ | |4.16 | ||
+ | |Maximum transcription rate of T7 | ||
+ | |#m/min | ||
+ | | [[Team:TUDelft/Modeling_References|[2]]] | ||
+ | |- | ||
+ | | c<sub>ptet</sub> | ||
+ | |2.79 | ||
+ | |Maximum transcription rate of Ptet | ||
+ | |#m/min | ||
+ | | [[Team:TUDelft/Modeling_References|[4]]] | ||
+ | |- | ||
+ | | c<sub>ci</sub> | ||
+ | |1.79 | ||
+ | |Maximum transcription rate of Pci | ||
+ | |#m/min | ||
+ | | [[Team:TUDelft/Modeling_References|[3]]] | ||
+ | |- | ||
+ | | d<sub>mRNA</sub> | ||
+ | |0.231 | ||
+ | |Degradation rate of mRNA | ||
+ | |min<sup>-1</sup> | ||
+ | | [[Team:TUDelft/Modeling_References|[8]]] | ||
+ | |- | ||
+ | | d<sub>TET</sub> | ||
+ | |0.1386 | ||
+ | |Degradation rate of TET | ||
+ | |min<sup>-1</sup> | ||
+ | | [[Team:TUDelft/Modeling_References|[9]]] | ||
+ | |- | ||
+ | | d<sub>CI</sub> | ||
+ | |0.042 | ||
+ | |Degradation rate of CI | ||
+ | |min<sup>-1</sup> | ||
+ | | [[Team:TUDelft/Modeling_References|[9]]] | ||
+ | |- | ||
+ | | d<sub>PSU</sub> | ||
+ | |6.3*10<sup>-3</sup> | ||
+ | |Degradation rate of the peptide plus SUMO | ||
+ | |min<sup>-1</sup> | ||
+ | |Assumed the same as GFP | ||
+ | |- | ||
+ | | d<sub>Ulp</sub> | ||
+ | |1.263*10<sup>-2</sup> | ||
+ | |Degradation rate of Ulp | ||
+ | |min<sup>-1</sup> | ||
+ | |Assumed twice the rate of GFP | ||
+ | |- | ||
+ | |l<sub>t7</sub> | ||
+ | |0.002 | ||
+ | |Leakage factor of T7 | ||
+ | | - | ||
+ | |Assumption | ||
+ | |- | ||
+ | |l<sub>ptet</sub> | ||
+ | |0.002 | ||
+ | |Leakage factor of Ptet | ||
+ | | - | ||
+ | |Assumption | ||
+ | |- | ||
+ | |k<sub>ci</sub> | ||
+ | |20 | ||
+ | |Dissociation constant of Pci | ||
+ | |#m | ||
+ | |[[Team:TUDelft/Modeling_References|[10]]] | ||
+ | |- | ||
+ | |k<sub>cUlp</sub> | ||
+ | |3 | ||
+ | |Turnover rate of Ulp | ||
+ | |min<sup>-1</sup> | ||
+ | |[[Team:TUDelft/Modeling_References|[6]]] | ||
+ | |- | ||
+ | |n<sub>tet</sub> | ||
+ | |3 | ||
+ | |Hills coefficient | ||
+ | | - | ||
+ | |[[Team:TUDelft/Modeling_References|[11]]] | ||
+ | |- | ||
+ | |n<sub>ci</sub> | ||
+ | |3 | ||
+ | |Hills coefficient | ||
+ | | - | ||
+ | |[[Team:TUDelft/Modeling_References|[11]]] | ||
+ | |- | ||
+ | |s<sub>ci</sub> | ||
+ | |228 | ||
+ | |Length of Ci | ||
+ | | amino acids | ||
+ | |[[Team:TUDelft/Modeling_References|[12]]] | ||
+ | |- | ||
+ | |s<sub>PSU</sub> | ||
+ | |18 + 110 | ||
+ | |Length of peptide plus SUMO | ||
+ | |amino acids | ||
+ | |[[Team:TUDelft/Modeling_References|[12]]] | ||
+ | |- | ||
+ | |s<sub>TET</sub> | ||
+ | |206 | ||
+ | |Length of TET | ||
+ | |amino acids | ||
+ | |[[Team:TUDelft/Modeling_References|[13]]] | ||
+ | |- | ||
+ | |s<sub>Ulp</sub> | ||
+ | |233 | ||
+ | |Length of Ulp1 | ||
+ | |amino acids | ||
+ | |[[Team:TUDelft/Modeling_References|[13]]] | ||
+ | |- | ||
+ | |} | ||
+ | </p> | ||
+ | |||
+ | <br> | ||
+ | |||
+ | <html> | ||
+ | |||
+ | |||
+ | <div style="margin-left:30px;margin-right:30px;float:left;display:inline-block;"> | ||
+ | <h2 align="center">Results</h2> | ||
+ | <br> | ||
+ | <center> | ||
+ | <img src="https://static.igem.org/mediawiki/2013/f/f6/Combined_simulation.png" width="700"> | ||
+ | <p>Figure 1: Simulation Results</p></div> | ||
+ | </center> | ||
<br> | <br> | ||
+ | |||
+ | |||
+ | </html> |
Latest revision as of 07:52, 20 August 2013
Timer-SUMO-KillSwitch
The separate modules: Timer plus SUMO and Kill Switch are combined to form the complete model of the system: Timer - SUMO - Kill Switch. For the final model, the kill switch module is converted in such a way so as the holin and antiholin to be activated by the Pci promoter.
Differential Equations
Parameters
Parameter | Value | Description | Units | Reference |
a | 1020 | Translation rate per amino acid | min-1#a-1 | [7] |
cT7 | 4.16 | Maximum transcription rate of T7 | #m/min | [2] |
cptet | 2.79 | Maximum transcription rate of Ptet | #m/min | [4] |
cci | 1.79 | Maximum transcription rate of Pci | #m/min | [3] |
dmRNA | 0.231 | Degradation rate of mRNA | min-1 | [8] |
dTET | 0.1386 | Degradation rate of TET | min-1 | [9] |
dCI | 0.042 | Degradation rate of CI | min-1 | [9] |
dPSU | 6.3*10-3 | Degradation rate of the peptide plus SUMO | min-1 | Assumed the same as GFP |
dUlp | 1.263*10-2 | Degradation rate of Ulp | min-1 | Assumed twice the rate of GFP |
lt7 | 0.002 | Leakage factor of T7 | - | Assumption |
lptet | 0.002 | Leakage factor of Ptet | - | Assumption |
kci | 20 | Dissociation constant of Pci | #m | [10] |
kcUlp | 3 | Turnover rate of Ulp | min-1 | [6] |
ntet | 3 | Hills coefficient | - | [11] |
nci | 3 | Hills coefficient | - | [11] |
sci | 228 | Length of Ci | amino acids | [12] |
sPSU | 18 + 110 | Length of peptide plus SUMO | amino acids | [12] |
sTET | 206 | Length of TET | amino acids | [13] |
sUlp | 233 | Length of Ulp1 | amino acids | [13] |
Results
Figure 1: Simulation Results