Timer-SUMO-KillSwitch
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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] |
c_{T7} | 4.16 | Maximum transcription rate of T7 | #m/min | [2] |
c_{ptet} | 2.79 | Maximum transcription rate of Ptet | #m/min | [4] |
c_{ci} | 1.79 | Maximum transcription rate of Pci | #m/min | [3] |
d_{mRNA} | 0.231 | Degradation rate of mRNA | min^{-1} | [8] |
d_{TET} | 0.1386 | Degradation rate of TET | min^{-1} | [9] |
d_{CI} | 0.042 | Degradation rate of CI | min^{-1} | [9] |
d_{PSU} | 6.3*10^{-3} | Degradation rate of the peptide plus SUMO | min^{-1} | Assumed the same as GFP |
d_{Ulp} | 1.263*10^{-2} | Degradation rate of Ulp | min^{-1} | Assumed twice the rate of GFP |
l_{t7} | 0.002 | Leakage factor of T7 | - | Assumption |
l_{ptet} | 0.002 | Leakage factor of Ptet | - | Assumption |
k_{ci} | 20 | Dissociation constant of Pci | #m | [10] |
k_{cUlp} | 3 | Turnover rate of Ulp | min^{-1} | [6] |
n_{tet} | 3 | Hills coefficient | - | [11] |
n_{ci} | 3 | Hills coefficient | - | [11] |
s_{ci} | 228 | Length of Ci | amino acids | [12] |
s_{PSU} | 18 + 110 | Length of peptide plus SUMO | amino acids | [12] |
s_{TET} | 206 | Length of TET | amino acids | [13] |
s_{Ulp} | 233 | Length of Ulp1 | amino acids | [13] |
Results
Figure 1: Simulation Results