Team:Evry/interactions

From 2013.igem.org

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By varying i between 0 and 1 we can vary the contributions of enterobacting production and biomass growth as shown in <a href="#Fig3">Figure 3</a>.
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By varying i between 0 and 1 we can vary the contributions of enterobacting production and biomass growth as shown in the picture below.
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<div class="captionedPicture" style="float:left;">
 
<a title="Nom Lien" href="https://static.igem.org/mediawiki/2013/0/00/FlowRoot8875-2.png">
<a title="Nom Lien" href="https://static.igem.org/mediawiki/2013/0/00/FlowRoot8875-2.png">
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<img alt="Nom Lien" src="https://static.igem.org/mediawiki/2013/0/00/FlowRoot8875-2.png" alt="Scheme for i" class="Picture"/>
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<img alt="Nom Lien" src="https://static.igem.org/mediawiki/2013/0/00/FlowRoot8875-2.png" alt="Scheme for i"/>
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<b>Figure 3:</b> The illustration of the role of the i variable in the objective function. The higher i (between 0 and 1), the more CHORISMATE goes into the ENTEROBACTIN production pathway and the less in the <i>E. coli</i> central metabolism (TrpE and PheA/B).</p>
 
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<a id="Fig3"></a>
 
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<h3>Simulation</h3>
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<p>
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The above figure shows the role of the i variable in the objective function. The higher i (between 0 and 1), the more CHORISMATE goes into the ENTEROBACTIN production pathway and the less in the <i>E. coli</i> central metabolism (TrpE and PheA/B).</p>
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<h3>Biological Motivationfor the objective function</h3>
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The <a href="#Fig3">Figure 3</a> presents the results of the simulation following the previous settings.
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By adding the synthetic construct inside the cell, more Ent enzymes will be present thus consuming more CHORISMATE(and all other precursors). The value i can be seen as the ratio :
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<img src="https://static.igem.org/mediawiki/2013/b/b1/I_def.png" alt="def of i parameter"/>
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This proportion models the following biological dynamics: the more EntC enzymes are present in the cell, the more CHORISMATE will go through its corresponding reaction. Hence the i will tend towards 0 and the flux through the EntC reaction will tend towards its maximal value.
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Note that we can neglect the MenF concentration as it should not change during the experiment.
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<h2>Simulation</h2>
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<p>
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The first simulation consist in observing the different distributions of fluxes as a function of i. The <a href="#Fig3">Figure 3</a> presents the results of this simulation.
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<a title="Nom Lien" href="https://static.igem.org/mediawiki/2013/8/80/Q1_curve.png">
<a title="Nom Lien" href="https://static.igem.org/mediawiki/2013/8/80/Q1_curve.png">
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<img alt="Nom Lien" src="https://static.igem.org/mediawiki/2013/8/80/Q1_curve.png" alt="Considered E.Coli Metabolic Reaction Network." class="Picture"/>
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<img alt="Nom Lien" src="https://static.igem.org/mediawiki/2013/8/80/Q1_curve.png" alt="fist simulation." class="Picture"/>
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<li>Setup : i varied from 0 to 1 with a step of 0.01.</li>
<li>Setup : i varied from 0 to 1 with a step of 0.01.</li>
<li>The code for this model can be found at the bottom of the page</li>
<li>The code for this model can be found at the bottom of the page</li>
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<li>The EntB and EntC curves are superposed</li>
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<h3>Interpretation</h3>
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<h2>Interpretation</h2>
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The UbiC and MenD curves are always zero, this may be due as explained earlier because they do not belong to central metabolic pathways.
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<h4>i < 0.303</h4>
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<h3>i < 0.303</h3>
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In this part, no ENTOUT flux is present, hence there is no production of enterobactin. In the other hand there are two non-zero constant fluxes, the CHORISMATE MUTASE (at 0.28 mmol/gDW/h) and DEOXYCHORISMATE SYNTHASE (at 0.04 mmol/gDW/h). The objective function is linearly decreasing with i meaning that the system does not change in this part.
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In this part, no ENTOUT flux is present, hence there is no production of ENTEROBACTIN. In the other hand there are two non-zero constant fluxes, the PheA (at 0.28 mmol/gDW/h), TrpE and PabA/B (both at 0.04 mmol/gDW/h). The objective function is linearly decreasing with i meaning that the system does not change in this part.
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<h4>i = 0.303</h4>
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<h3>i = 0.303</h3>
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<li>CHORMISMATE MUTASE flux goes to 0 mmol/gDW/h</li>
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<li>PheA flux goes to 0 mmol/gDW/h</li>
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<li>DEOXYCHORISMATE SYNTHASE flux goes to 0 mmol/gDW/h</li>
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<li>TrpE and PabA/B flux goes to 0 mmol/gDW/h</li>
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<li>ISOCHORISMATE SYNTHASE, ISOCHORISMATASE, ENTOUT fluxes goes to their maximal values 2.1 mmol/gDW/h</li>
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<li>EntC, EntB and ENTOUT fluxes goes to their maximal values 2.1 mmol/gDW/h</li>
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<h4>i > 0.303</h4>
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<h3>i > 0.303</h3>
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After this value of i the system stays the same as proved by the linear increase of the objective function with i.
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After this value of i the system stays the same as proved by the linear increase of the objective function with i. This effect is only due to the change in i because no other fluxes are modified and is thus an artifact of the method.
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<h3>Conclusion</h3>
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<h2>Conclusion</h2>
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The production of enterobactin modifies the flux distribution for only two reactions out of 5 (the others have a nul flux) : CHORMISMATE MUTASE and DEOXYCHORISMATE SYNTHASE.<br/>
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The production of enterobactin modifies the flux distribution for only three reactions out of 5 (the others have null fluxes) : PabA, TrpE and PheA.Thus <em>there is an interaction between the enterobactin production system and the <i>E. coli</i> metabolism</em> that happens at the level of these reactions. The analysis of these reactions is done in the next model on <a href="https://2013.igem.org/Team:Evry/supply">this page</a>.
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Thus <em>there is an interaction between the enterobactin production system and the <i>E. coli</i> metabolism</em> that happen at the level of these reactions.
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Latest revision as of 00:06, 29 October 2013

Iron coli project

Studying the metabolic perturbations

Question

Are there any interractions between our synthetic construction E. coli central metabolism ?

Observation

If the ENTx genes present on our constructions are expressed, it will increase the quantity of the corresponding enzymes in the bacteria. More enzymes mean more consumption pressure on all the metabolites of the ENTEROBACTIN production pathway. As seen on Figure 1, two metabolites could be subject to this effect : CHORISMATE and ISOCHORISMATE.

Nom Lien
Figure 1:

The ENTEROBACTIN production pathway (cyan) and the other metabolic reactions consuming the same metabolites (red). circles : enzymes name.

The ISOCHORISMATE case

The ISOCHORISMATE metabolite is only consumed by one other metabolic reaction catalyzed by the MenD enzyme. The Figure 2 presents the metabolic map conaining the reaction catalyzed by MEND.

Nom Lien
Figure 2:

The metabolic map containing the pathway menD belongs to.

As one can see, the menD enzyme is used upstream of the VITAMIN K cycle. It is interesting because vitamins are always produced in small quantities as they are toxic for the cell. With this observation we can deduce that menD should be present in small quantities inside the cell and thus should not use too much of the produced ISOCHORISMATE.

The CHORISMATE case

There are different pathways consuming this metabolite, some could be neglected in the same manner as the menD pathway presented above. But others are part of the central metabolism of E. coli. The enzymes which associated reaction consume chorismate are the following:

  • TrpE : which belongs to tryptophan biosynthesis pathway, and thus to E. coli central metabolism. This reaction should have a non-null flux when doing FBA simulations.
  • UbiC : which belongs to the ubiquinone biosynthesis pathway, a coenzyme used in the aerobic cellular respiration. This reaction may have a null flux in the FBA simulation as it does not directly participate to the metabolic function of the cell.
  • PabA/B : which belongs to the 4-AMINOBENZOATE biosynthesis pathway, which is used in the production of the folic acid, which is a vitamin. This reaction may have a null flux in the FBA simulation also.
  • PheA/B : which belongs to the tyrosine and phenylalanine biosynthesis pathways which belongs to E. coli central metabolism. This flux should not be null in the FBA simulation.

Setup

Model : E. coli iJR904 with addition of ENTSYNTH and ENTOUT reactions. In order to test whether the system interacts with the metabolism of the bacteria we applied the FBA with a modification to the objective function:

fba optimization function for testing q1

By varying i between 0 and 1 we can vary the contributions of enterobacting production and biomass growth as shown in the picture below.

Nom Lien

The above figure shows the role of the i variable in the objective function. The higher i (between 0 and 1), the more CHORISMATE goes into the ENTEROBACTIN production pathway and the less in the E. coli central metabolism (TrpE and PheA/B).

Biological Motivationfor the objective function

By adding the synthetic construct inside the cell, more Ent enzymes will be present thus consuming more CHORISMATE(and all other precursors). The value i can be seen as the ratio :

def of i parameter

This proportion models the following biological dynamics: the more EntC enzymes are present in the cell, the more CHORISMATE will go through its corresponding reaction. Hence the i will tend towards 0 and the flux through the EntC reaction will tend towards its maximal value.

Note that we can neglect the MenF concentration as it should not change during the experiment.

Simulation

The first simulation consist in observing the different distributions of fluxes as a function of i. The Figure 3 presents the results of this simulation.

Nom Lien
Figure 3:

Fluxes as function of the i coefficient of the modified objective function. Dotted lines : Important fluxes; Solid lines : Reactions belonging to the ENTEROBACTIN biosynthesis pathway; Dashed lines : Other reactions consuming important metabolites.

  • Setup : i varied from 0 to 1 with a step of 0.01.
  • The code for this model can be found at the bottom of the page
  • The EntB and EntC curves are superposed

Interpretation

The UbiC and MenD curves are always zero, this may be due as explained earlier because they do not belong to central metabolic pathways.

The graph is divided in two parts :

i < 0.303

In this part, no ENTOUT flux is present, hence there is no production of ENTEROBACTIN. In the other hand there are two non-zero constant fluxes, the PheA (at 0.28 mmol/gDW/h), TrpE and PabA/B (both at 0.04 mmol/gDW/h). The objective function is linearly decreasing with i meaning that the system does not change in this part.

i = 0.303

For this value of i there is a brutal change in the different fluxes :

  • PheA flux goes to 0 mmol/gDW/h
  • TrpE and PabA/B flux goes to 0 mmol/gDW/h
  • EntC, EntB and ENTOUT fluxes goes to their maximal values 2.1 mmol/gDW/h
The objective function f stops decreasing.

i > 0.303

After this value of i the system stays the same as proved by the linear increase of the objective function with i. This effect is only due to the change in i because no other fluxes are modified and is thus an artifact of the method.

Conclusion

The production of enterobactin modifies the flux distribution for only three reactions out of 5 (the others have null fluxes) : PabA, TrpE and PheA.Thus there is an interaction between the enterobactin production system and the E. coli metabolism that happens at the level of these reactions. The analysis of these reactions is done in the next model on this page.