Team:ETH Zurich/modeling/parameters
From 2014.igem.org
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|k<sub>-RLux</sub>||10 min<sup>-1</sup>||Dissociation rate of RLux ||Literature <sup>[[Team:ETH_Zurich/project/references|[19]]]</sup> | |k<sub>-RLux</sub>||10 min<sup>-1</sup>||Dissociation rate of RLux ||Literature <sup>[[Team:ETH_Zurich/project/references|[19]]]</sup> | ||
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- | |K<sub>mLux</sub>|| | + | |K<sub>mLux</sub>||10 nM||Lumped parameter for the Lux system|| [https://2014.igem.org/Team:ETH_Zurich/modeling/qs Fitted to experimental data] |
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|d<sub>LuxAHL</sub>||0.004 min<sup>-1</sup>||External degradation rate of LuxAHL (30C6HSL)||Fitted | |d<sub>LuxAHL</sub>||0.004 min<sup>-1</sup>||External degradation rate of LuxAHL (30C6HSL)||Fitted | ||
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|k<sub>-RLas</sub>||10 min<sup>-1</sup>||Dissociation rate of RLas ||Literature <sup>[[Team:ETH_Zurich/project/references|[19]]]</sup>(Assumed to be the same as Lux system) | |k<sub>-RLas</sub>||10 min<sup>-1</sup>||Dissociation rate of RLas ||Literature <sup>[[Team:ETH_Zurich/project/references|[19]]]</sup>(Assumed to be the same as Lux system) | ||
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- | |K<sub>mLas</sub>||0. | + | |K<sub>mLas</sub>||0.45 nM||Lumped parameter for the Las system ||[https://2014.igem.org/Team:ETH_Zurich/modeling/qs Fitted to experimental data] |
|- | |- | ||
|d<sub>LasAHL</sub>||0.004 min<sup>-1</sup>||Degradation rate of LasAHL (30C12HSL)||Fitted to experimental data | |d<sub>LasAHL</sub>||0.004 min<sup>-1</sup>||Degradation rate of LasAHL (30C12HSL)||Fitted to experimental data | ||
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|C<sub>beads</sub>||1||Correction factor (a priori) for diffusion of LuxAHL in alginate beads|| [https://2014.igem.org/Team:ETH_Zurich/modeling/diffmodel#Estimation Estimated] from literature <sup>[[Team:ETH_Zurich/project/references#Cronenberg | [30]]]</sup> | |C<sub>beads</sub>||1||Correction factor (a priori) for diffusion of LuxAHL in alginate beads|| [https://2014.igem.org/Team:ETH_Zurich/modeling/diffmodel#Estimation Estimated] from literature <sup>[[Team:ETH_Zurich/project/references#Cronenberg | [30]]]</sup> | ||
- | |} | + | |- |
+ | |DF||1e-5||Dilution factor || Assumed | ||
+ | | | ||
+ | } | ||
<html></article></html> | <html></article></html> | ||
Revision as of 04:15, 17 October 2014
Parameters and Tools
Parameters
No model is complete without parameters. Our exhaustive list of parameters are summarised in the table below.
Parameter | Value | Description | Reference | |
---|---|---|---|---|
αLuxR | 0.005 μMmin-1 | Production rate of LuxR | Literature [20] | |
kRLux | 0.1 nM-1min-1 | Rate of formation of RLux from LuxAHL and LuxR | Literature [19] | |
k-RLux | 10 min-1 | Dissociation rate of RLux | Literature [19] | |
KmLux | 10 nM | Lumped parameter for the Lux system | Fitted to experimental data | |
dLuxAHL | 0.004 min-1 | External degradation rate of LuxAHL (30C6HSL) | Fitted | |
dLuxR | 0.0231 min-1 | Degradation rate of LuxR | Literature [21] | |
dRLux | 0.0231 min-1 | Degradation rate of RLux | Literature [20] | |
dmRNABxb1 | 0.2773 min-1 | Degradation rate of mRNABxb1 | Literature [22] | |
dBxb1 | 0.01 min-1 | Degradation rate of Bxb1 | Assumed | |
LPLux | 0.01463 nMmin-1 | Leakiness after using riboswitch for Plux | Fitted to experimental data | |
KmRNABxb1 | 5 nMmin-1 | Rate of transcription of Bxb1 | Estimated | |
kBxb1 | 0.1 min-1 | Rate of formation of Bxb1 | Assumed | |
αLasR | 0.005 μMmin-1 | Production rate of LasR | Literature [20](Assumed to be the same as Lux system) | |
kRLas | 0.1 nM-1min-1 | Rate of formation of RLas from LasAHL and LasR | Literature [19](Assumed to be the same as Lux system) | |
k-RLas | 10 min-1 | Dissociation rate of RLas | Literature [19](Assumed to be the same as Lux system) | |
KmLas | 0.45 nM | Lumped parameter for the Las system | Fitted to experimental data | |
dLasAHL | 0.004 min-1 | Degradation rate of LasAHL (30C12HSL) | Fitted to experimental data | |
dLasR | 0.0231 min-1 | Degradation rate of LasR | Literature [21] (Assumed to be the same as Lux system) | |
dRLas | 0.0231 min-1 | Degradation rate of RLas | Literature [20] (Assumed to be the same as
Lux system) | |
dmRNAϕc31 | 0.2773 min-1 | Degradation rate of mRNAϕc31 | Literature [22] | |
dϕc31 | 0.01 min-1 | Degradation rate of ϕC31 | Assumed | |
LPLas | 0.02461 nMmin-1 | Leakiness after using riboswitch for Plas | Fitted to experimental data | |
KmRNAϕc31 | 5 nMmin-1 | Rate of transcription of ϕc31 | Estimated | |
kϕc31 | 0.1 min-1 | Rate of formation of ϕc31 | Assumed | |
kDBxb1 | 1 nM-1min-1 | Dimerization rate of Bxb1 | Fitted | |
k-DBxb1 | 10-6 min-1 | Dissociation rate of DBxb1 | Fitted | |
kSABxb1 | 1 nM-1min-1 | Rate of formation of SABxb1 from DBxb1 and SIBxb1 | Fitted | |
k-SABxb1 | 10-6 min-1 | Dissociation rate of SABxb1 | Fitted | |
dDBxb1 | 0.02 min-1 | Degradation rate of DBxb1 | Assumed | |
kDϕc31 | 1 nM-1min-1 | Dimerization rate of ϕc31 | Fitted | |
k-Dϕc31 | 10-6 min-1 | Rate of dissociation of Dϕc31 | Fitted | |
kSAϕc31 | 1 nM-1min-1 | Rate of formation of SAϕc31 from Dϕc31 and SIϕc31 | Fitted | |
k-SAϕc31 | 10-6 min-1 | Rate of dissociation of SAϕc31 | Fitted | |
dDϕc31 | 0.02 min-1 | Degradation rate of Dϕc31 | Assumed | |
kToffBxb1 | 0.1 nM-2min-1 | Rate of flipping of Ton,i to ToffBxb1 | Assumed | |
k-ToffBxb1 | 0.1 nM-2min-1 | Rate of flipping of ToffBxb1 to Ton,f | Assumed | |
kToffϕc31 | 0.1 nM-2min-1 | Rate of flipping of Ton,i to Toffϕc31 | Assumed | |
k-Toffϕc31 | 0.1 nM-2min-1 | Rate of flipping of Toffϕc31 to Ton,f | Assumed | |
kmRNAGFP | 5 nMmin-1 | Production rate of mRNAGFP | Estimated | |
kGFP | 1 min-1 | Rate of formation of folded GFP | Estimated | |
dmRNAGFP | 0.2773 min-1 | Degradation rate of mRNAGFP | Literature [22] | |
dGFP | 0.0049 min-1 | Degradation rate of GFP | Fitted to experimental data | |
kmRNALasI | 5 nMmin-1 | Production rate of mRNALasI | Estimated | |
kLasI | 20 min-1 | Rate of formation of LasI | Estimated | |
dmRNALasI | 0.2773 min-1 | Degradation rate of mRNALasI | Literature [22] | |
dLasI | 0.0167 min-1 | Degradation rate of LasI | Literature [21] | |
kLasAHL | 0.04 min-1 | Production rate of LasAHL (30C12HSL) from the LasI | Literature [19] | |
θ | 0.01 μM | Km value for the production of mRNAGFP and mRNALasI | Literature [20] (approximation) | |
DAHLext | 4.9 10-6 cm2/s | Diffusion coefficient of extracellular AHL in liquid | Literature [27] | |
Dm | 100 min-1 | Diffusion rate of AHL through the membrane | Estimated from literature [27] | |
r | 0.006 min-1 | Growth rate of E. coli in our alginate beads | ||
α | 100 min-1 | Ratio of E. coli volume to the volume of one bead | V E. coli from literature [28], bead volume from experimental setup | |
N0 | 107 cells | Initial number of cells per bead | Experimental setup | |
Nm | 8 108 cells | Maximum number of cells per bead | Estimated from literature [29] | |
Cbeads | 1 | Correction factor (a priori) for diffusion of LuxAHL in alginate beads | Estimated from literature [30] | |
DF | 1e-5 | Dilution factor | Assumed |
} ToolsWe used the following tools for modelling and simulation:
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