Difference between revisions of "Team:ETH Zurich/Modeling/Parameters"
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<tr><td>\(R_\text{Jurkat}\)</td><td>Radius of a Jurkat cell</td><td>5.75 μm</td><td></td></tr> | <tr><td>\(R_\text{Jurkat}\)</td><td>Radius of a Jurkat cell</td><td>5.75 μm</td><td></td></tr> | ||
<tr><td>\(R_\textit{E. coli}\)</td><td>Short-side radius of an <i>E. coli</i> cell</td><td>0.5 μm</td><td></td></tr> | <tr><td>\(R_\textit{E. coli}\)</td><td>Short-side radius of an <i>E. coli</i> cell</td><td>0.5 μm</td><td></td></tr> | ||
− | <tr><td>\(k_\text{int;Lact}\)</td><td>Lactate import rate by LldP</td><td>0.008666/s</td><td></td></tr> | + | <tr><td>\(k_\text{int;Lact}\)</td><td>Lactate import rate by LldP</td><td>0.008666/s</td><td><a href="https://2015.igem.org/Team:ETH_Zurich/References#Dong1993">Dong, 1993</a></td></tr> |
<tr><td>\(t_\text{dub}\)</td><td><i>E. coli</i> doubling time</td><td>30 min</td><td><a href="https://2015.igem.org/Team:ETH_Zurich/References#Dong1993">Dong, <i>et al.</i>, 1993</a></td></tr> | <tr><td>\(t_\text{dub}\)</td><td><i>E. coli</i> doubling time</td><td>30 min</td><td><a href="https://2015.igem.org/Team:ETH_Zurich/References#Dong1993">Dong, <i>et al.</i>, 1993</a></td></tr> | ||
</table> | </table> |
Revision as of 01:41, 19 September 2015
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Parameters
AHL module
Single cell model
Name | Value | Description | References/Estimation |
---|---|---|---|
\(K_{d,\text{LuxRAHL}}\) | 100 nM | Dissociation constant between luxR and AHL | Weber, 2013 |
\(\text{LuxR}_\text{tot}\) | 0.0025 μM | Total concentration of LuxR | estimated |
\(a_\mathrm{LuxI}\) | 1 μM.min-1 | Maximal production rate of LuxI | Basu, 2005 |
\(a_\mathrm{LuxI,ribo}\) | 0.1 μM.min-1 | Maximal production rate of LuxI | ETHZ 2014 |
\(k_\mathrm{leaky}\) | 0.0375 μM-1 | Coefficient for leakiness dependency on LuxR concentration of PLuxR promoter | ETHZ 2013 |
\(K_\mathrm{a,LuxRAHL}\) | 9.89 nM | Activation coefficient of LuxRAHL | Estimated from our own data |
\(K_\mathrm{LuxRAHL,ribo}\) | 285 nM | Activation coefficient of LuxRAHL in case of a riboregulated LuxR responsive promoter | ETHZ 2014 |
\(L_\mathrm{lux,ribo}\) | 0.01463 nM.min-1 | Leakiness after using riboswitch for Plux | ETHZ 2014 |
\(n_\mathrm{lux}\) | 1.7 | Hill coefficient for LuxRAHL activation | ETHZ 2014 |
\(d_\mathrm{LuxI}\) | 0.0167 min-1 | Degradation rate of LuxI | MIT 2010 |
\(a_\mathrm{AHL}\) | 0.04 μM.min-1 | Production rate of AHL | Weber, 2013 |
\(d_\mathrm{AHL}\) | 0.01 min-1 | Degradation rate of AHL | Basu, 2005 |
\(v_\mathrm{AiiA}\) | \(k_\mathrm{cat} \cdot C_\mathrm{AiiA} \) | Maximal conversion rate of AiiA | |
\(k_\mathrm{cat}\) | 1.63×103min-1 | Turnover number of AiiA | Wang, 2004 |
\(C_\mathrm{AiiA}\) | varied | Concentration of AiiA | |
\(K_\mathrm{M,AiiA}\) | 2.95×103 μM | Half-maximal rate substrate concentration of AiiA | Wang, 2004 |
\(a_\mathrm{GFP}\) | 2 μM.min-1 | Maximal production rate of GFP | Basu, 2005 |
\(d_\mathrm{GFP}\) | 0.01 min-1 | Degradation rate of GFP | estimated from doubling time of E. coli |
Compartment model
Name | Value | Description | References/Estimation |
---|---|---|---|
\(N_{d}\) | 150 | Number of E. coli in the doughnut | Maximal number of E. coli that would fit on the surface |
\(N_{b,max}\) | 12798 | Maximum number of E. coli in the bulk | Considering the maximal OD is 2 |
\(V_{cell,d}\) | 6 μm3 | Volume around an E. coli in the doughnut | estimated |
\(V_{cell,b,worst}\) | 78 μm3 | Volume around an E. coli in the bulk | Worst case, estimated from \(N_{b,max}\) |
\(V_{cell,b,norm}\) | 1000 μm3 | Volume around an E. coli in the bulk | Normal case |
Lactate module
Name | Description | Value | References/Estimation |
---|---|---|---|
\(K_{\mathrm{A,Lact}}\) | Lumped parameter for the lactate sensor | 175 μM | Based on the characterization of the promoters. |
\( a_\mathrm{LacI}\) | Maximal production rate of LacI | 1 μM.min-1 | Basu, 2005 |
\( d_\mathrm{LacI}\) | Degradation rate of LacI | 0.0231 min-1 | Basu, 2005 |
\( K_\mathrm{R,LacI}\) | Repression coefficient of LacI | 0.8 μM | Basu, 2005 |
\( n_1\) | Hill coefficient of LldR | 1.7 | estimated |
\( n_2\) | Hill coefficient of LacI | 1.7 | estimated |
Reaction-diffusion model
Name | Description | Value | References/Estimation |
---|---|---|---|
\(D_{aq,AHL}\) | Diffusion coefficient of AHL through water | 4.9×10-6cm2/s | ETHZ 2014 |
\(D_{m,AHL}\) | Diffusion coefficient of AHL through a cell membrane | 4.629×10-16 m2/s | Kaplan, et al., 1985 |
\(R_\text{Jurkat}\) | Radius of a Jurkat cell | 5.75 μm | |
\(R_\textit{E. coli}\) | Short-side radius of an E. coli cell | 0.5 μm | |
\(k_\text{int;Lact}\) | Lactate import rate by LldP | 0.008666/s | Dong, 1993 |
\(t_\text{dub}\) | E. coli doubling time | 30 min | Dong, et al., 1993 |