Difference between revisions of "Part:BBa K117002"

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More information on AI-2 quorum-sensing (QS) system please refer to:
 
More information on AI-2 quorum-sensing (QS) system please refer to:
 
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=1952038
 
http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=1952038
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 +
==Modelling the Lsr Promoter==
 +
<h1 class="model-title_p">Lsr Promoter</h1>
 +
<p style="font-size: 16px"> We contributed to the previously characterised part LsrA promoter BBa_K117002 (https://parts.igem.org/Part:BBa_K117002). We added modelling equations from the literature found here: https://doi.org/10.1371/journal.pcbi.1002172 These equations allow future teams to model the expression of the Lsr promoter. To use these, teams must estimate a value of extracellular AI-2 concentration. For our own project we assumed that the Lsr-operon concentration produced would be the same as our protein being expressed by the Lsr promoter we also created equations to model bacterial population and AI-2 production which can be found here: https://2021.igem.org/Team:Manchester/Model. It should be mentioned that the concentration given is an intracellular concentration so any secreted proteins must undergo further modelling or assumptions.
 +
<br>
 +
<br>
 +
    <h3 class="model-title_p2">Variables</h3>
 +
 +
    <div style="overflow-x: auto;">
 +
<table style="background-color: #ffffff;">
 +
  <tr class="model-tr">
 +
    <th class="model-th2" style="font-weight: bolder; background-color: #660099; color:#ffffff">Symbol</th>
 +
    <th class="model-th2" style="font-weight: bolder; background-color: #660099; color:#ffffff">Description</th>
 +
    <th class="model-th2" style="font-weight: bolder; background-color: #660099; color:#ffffff">Initial Value</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">t</th>
 +
    <th class="model-th">Time</th>
 +
    <th class="model-th">0 minutes</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">[OP]</th>
 +
    <th class="model-th">Lsr-operon concentration</th>
 +
    <th class="model-th">0 M</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">[REG]</th>
 +
    <th class="model-th">Lsr Regulator Cocnentration</th>
 +
    <th class="model-th">0 M</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">[R]</th>
 +
    <th class="model-th">LsrR Concentration</th>
 +
    <th class="model-th">0 M</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">[A<sub>p</sub>]</th>
 +
    <th class="model-th">Intracellular Phosphorylated AI-2 concentration</th>
 +
    <th class="model-th">0 M</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">[A<sub>out</sub>]</th>
 +
    <th class="model-th">Extracellular AI-2 Concentration</th>
 +
    <th class="model-th">Estimate/model this uM</th>
 +
  </tr>
 +
 +
</table>
 +
</div>
 +
<br>
 +
<h3 class="model-title_p2">Parameters</h3>
 +
<div style="overflow-x:auto;">
 +
<table>
 +
  <tr class="model-tr">
 +
    <th class="model-th" style="font-weight: bolder; background-color: #660099; color:#ffffff">Parameter</th>
 +
    <th class="model-th" style="font-weight: bolder; background-color: #660099; color:#ffffff">Description</th>
 +
    <th class="model-th" style="font-weight: bolder; background-color: #660099; color:#ffffff">Value</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">k<sub>op</sub></th>
 +
    <th class="model-th">Lsr-synthesis rate</th>
 +
    <th class="model-th">7 uM<sup>-1</sup> min<sup>-1</sup> [2]</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">k<sub>r</sub></th>
 +
    <th class="model-th">LsrR synthesis rate</th>
 +
    <th class="model-th">2 min<sup>-1</sup> [2]</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">k<sub>1</sub></th>
 +
    <th class="model-th">Repression Coefficient (Lsr-operon)</th>
 +
    <th class="model-th">0.2 uM [2]</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">k<sub>2</sub></th>
 +
    <th class="model-th">Repression coefficient (LsrR)</th>
 +
    <th class="model-th">0.1 uM [2]</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">k<sub>3</sub></th>
 +
    <th class="model-th">AI-2/LsrR binding rate</th>
 +
    <th class="model-th">0.5 uM<sup>-1</sup> min<sup>-1</sup> [2]</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">k<sub>4</sub></th>
 +
    <th class="model-th">Repression coefficient (Lsr-regulator)</th>
 +
    <th class="model-th">65 uM [2]</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">k<sub>5</sub></th>
 +
    <th class="model-th">REG/AI-2 interaction</th>
 +
    <th class="model-th">0.0001 uM<sup>-1</sup> min<sup>-1</sup> [2]</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">k<sub>f</sub></th>
 +
    <th class="model-th">AI-2 fluc through alternative pahways</th>
 +
    <th class="model-th">0.01 uM<sup>-1</sup> min<sup>-1</sup> [2]</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">k<sub>imp</sub></th>
 +
    <th class="model-th">AI-2 import via LasrABCD</th>
 +
    <th class="model-th">0.01 uM<sup>-1</sup> min<sup>-1</sup> [2]</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">nOP</th>
 +
    <th class="model-th">Cooperativity coefficient (Lsr-operon)</th>
 +
    <th class="model-th">4 [2]</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">k<sub>nR</sub></th>
 +
    <th class="model-th"> class="model-th"Cooperativity coefficient (LsrR)</th>
 +
    <th class="model-th">4 [2]</th>
 +
  </tr>
 +
 +
  <tr class="model-tr">
 +
    <th class="model-th">k<sub>deg</sub></th>
 +
    <th class="model-th">Protein decay rate</th>
 +
    <th class="model-th">0.02 min<sup>-1</sup> [2]</th>
 +
  </tr>
 +
 +
</table>
 +
</div>
 +
<br>
 +
<br>
 +
<h1 class="model-title_p">Equations</h1>
 +
 +
<h3 class="model-title_p2">Equation 1</h3>
 +
<img class="lab-img" src='https://2021.igem.org/wiki/images/c/cc/T--Manchester--Equation_1.PNG'>
 +
<p style="font-size: 16px; padding-top: 15px;">Equation 1 describes the rate of change of protein concentration produced by the Lsr promoter. Specifically this equation refers to the LsrABCD operon however in our model we assumed this concentration would be the same for our recombinant protein.</p>
 +
<br>
 +
<h3 class="model-title_p2">Equation 2</h3>
 +
<img class="lab-img" src='https://2021.igem.org/wiki/images/5/5d/T--Manchester--Equation_2.PNG'>
 +
<p style="font-size: 16px; padding-top: 15px;">Equation 2 is describing the rate of change of a hypothetical Lsr-regulator molecule suggested to exist in the source literature. [2] </p>
 +
<br>
 +
<h3 class="model-title_p2">Equation 3</h3>
 +
<img class="lab-img" src='https://2021.igem.org/wiki/images/7/7e/T--Manchester--Equation_3.PNG'>
 +
<p style="font-size: 16px; padding-top: 15px;">Equation 3 describes the rate of synthesis of LsrR</p>
 +
<br>
 +
<h3 class="model-title_p2">Equation 4</h3>
 +
<img class="lab-img" src='https://2021.igem.org/wiki/images/1/1c/T--Manchester--Equation_4.PNG'>
 +
<p style="font-size: 16px; padding-top: 15px;">This equation describes the concentration of phosphorylated AI-2 inside the cell. This is contributed to by flux of AI-2 through the LsrABCD channel complex and alternative pathways. Ap is depleted by AI-2 binding to the LsrR protein and the theoretical Lsr-regulator molecule.</p>
 +
<br>
 +
<h3 class="model-title_p2">Equation 5</h3>
 +
<img class="lab-img" src='https://2021.igem.org/wiki/images/2/21/T--Manchester--Equation_5.PNG'>
 +
<p style="font-size: 16px; padding-top: 15px;">Equation 5 gives us the rate of decrease of the exrracellular AI-2 concentration, this assumes that we have estimated an initial concentration of AI-2 which is not very realistic. In our model we added equations to decribe bacterial concentration and AI-2 production, further details can be found here:https://2021.igem.org/Team:Manchester/Model</p>
 +
<br>
 +
<h3 class="model-title_p2">Equation 6</h3>
 +
<img class="lab-img" src='https://2021.igem.org/wiki/images/6/6d/T--Manchester--Equation_6.PNG'>
 +
<p style="font-size: 16px; padding-top: 15px;">This equation gives us the rate of change of the Lsr-regulator/AI-2 complex.</p>
 +
<br>
 +
<h3 class="model-title_p2">Equation 7</h3>
 +
<img class="lab-img" src='https://2021.igem.org/wiki/images/9/9e/T--Manchester--Equation_7.PNG'>
 +
<p style="font-size: 16px; padding-top: 15px;">This equation gives us the rate of change of the LsrR/AI-2 complex.</p>
 +
<br>
 +
</div>
 +
</div>
 +
 
==Important notice:==  
 
==Important notice:==  
 
*This part is only the promoter region of LsrA gene which is normally inhibited by LsrR. It is NOT the entire LsrA gene.
 
*This part is only the promoter region of LsrA gene which is normally inhibited by LsrR. It is NOT the entire LsrA gene.

Revision as of 11:21, 16 October 2021

LsrA promoter (indirectly activated by AI-2)

AI-2 quorum sensing system

The integral part of the AI-2 quorum-sensing (QS) system consists of a transporter complex, LsrABCD; its repressor, LsrR; and a cognate signal kinase, LsrK. Once uptaken into the cell, AI-2 will be phosphorylated under the effect of LsrK. Without the presence of AI-2, LsrA promoter is inhibited by the repressor, LsrR. Phosphorylated AI-2 will prevent LsrR from inhibiting this promoter, hence activating it so that the downstream sequence can be expressed. To prevent the cell from self-inducing this promoter, we must suppress its AI-2 producing capability. It can be done by knocking out LuxS, one of the vital gene required for producing AI-2. By doing that, LsrA promoter can only be activated under the presence of AI-2 from other sources than the host cell which is LuxS mutant (say, by contact with normal cells).

‎Effects of AI-2 on LsrA promoter

More information on AI-2 quorum-sensing (QS) system please refer to: http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=1952038

Modelling the Lsr Promoter

Lsr Promoter

We contributed to the previously characterised part LsrA promoter BBa_K117002 (https://parts.igem.org/Part:BBa_K117002). We added modelling equations from the literature found here: https://doi.org/10.1371/journal.pcbi.1002172 These equations allow future teams to model the expression of the Lsr promoter. To use these, teams must estimate a value of extracellular AI-2 concentration. For our own project we assumed that the Lsr-operon concentration produced would be the same as our protein being expressed by the Lsr promoter we also created equations to model bacterial population and AI-2 production which can be found here: https://2021.igem.org/Team:Manchester/Model. It should be mentioned that the concentration given is an intracellular concentration so any secreted proteins must undergo further modelling or assumptions.

Variables

Symbol Description Initial Value
t Time 0 minutes
[OP] Lsr-operon concentration 0 M
[REG] Lsr Regulator Cocnentration 0 M
[R] LsrR Concentration 0 M
[Ap] Intracellular Phosphorylated AI-2 concentration 0 M
[Aout] Extracellular AI-2 Concentration Estimate/model this uM


Parameters

Parameter Description Value
kop Lsr-synthesis rate 7 uM-1 min-1 [2]
kr LsrR synthesis rate 2 min-1 [2]
k1 Repression Coefficient (Lsr-operon) 0.2 uM [2]
k2 Repression coefficient (LsrR) 0.1 uM [2]
k3 AI-2/LsrR binding rate 0.5 uM-1 min-1 [2]
k4 Repression coefficient (Lsr-regulator) 65 uM [2]
k5 REG/AI-2 interaction 0.0001 uM-1 min-1 [2]
kf AI-2 fluc through alternative pahways 0.01 uM-1 min-1 [2]
kimp AI-2 import via LasrABCD 0.01 uM-1 min-1 [2]
nOP Cooperativity coefficient (Lsr-operon) 4 [2]
knR class="model-th"Cooperativity coefficient (LsrR) 4 [2]
kdeg Protein decay rate 0.02 min-1 [2]



Equations

Equation 1

<img class="lab-img" src='https://2021.igem.org/wiki/images/c/cc/T--Manchester--Equation_1.PNG'>

<p style="font-size: 16px; padding-top: 15px;">Equation 1 describes the rate of change of protein concentration produced by the Lsr promoter. Specifically this equation refers to the LsrABCD operon however in our model we assumed this concentration would be the same for our recombinant protein.


Equation 2

<img class="lab-img" src='https://2021.igem.org/wiki/images/5/5d/T--Manchester--Equation_2.PNG'>

Equation 2 is describing the rate of change of a hypothetical Lsr-regulator molecule suggested to exist in the source literature. [2]


Equation 3

<img class="lab-img" src='https://2021.igem.org/wiki/images/7/7e/T--Manchester--Equation_3.PNG'>

Equation 3 describes the rate of synthesis of LsrR


Equation 4

<img class="lab-img" src='https://2021.igem.org/wiki/images/1/1c/T--Manchester--Equation_4.PNG'>

This equation describes the concentration of phosphorylated AI-2 inside the cell. This is contributed to by flux of AI-2 through the LsrABCD channel complex and alternative pathways. Ap is depleted by AI-2 binding to the LsrR protein and the theoretical Lsr-regulator molecule.


Equation 5

<img class="lab-img" src='https://2021.igem.org/wiki/images/2/21/T--Manchester--Equation_5.PNG'>

Equation 5 gives us the rate of decrease of the exrracellular AI-2 concentration, this assumes that we have estimated an initial concentration of AI-2 which is not very realistic. In our model we added equations to decribe bacterial concentration and AI-2 production, further details can be found here:https://2021.igem.org/Team:Manchester/Model


Equation 6

<img class="lab-img" src='https://2021.igem.org/wiki/images/6/6d/T--Manchester--Equation_6.PNG'>

This equation gives us the rate of change of the Lsr-regulator/AI-2 complex.


Equation 7

<img class="lab-img" src='https://2021.igem.org/wiki/images/9/9e/T--Manchester--Equation_7.PNG'>

This equation gives us the rate of change of the LsrR/AI-2 complex.


</div> </div>

Important notice:

  • This part is only the promoter region of LsrA gene which is normally inhibited by LsrR. It is NOT the entire LsrA gene.
  • It is INDIRECTLY induced by AI-2, through a complex network involving LsrK,LsrR.

How this promoter works:

By ligating LsrA promoter with a protein coding sequence downstream, we can regulate the expression of that protein by AI-2 as the inducer. To prevent self-inducing by the host cell, the plasmid must be transformed into cell with LuxS gene knocked out.

Sequence and Features


Assembly Compatibility:
  • 10
    COMPATIBLE WITH RFC[10]
  • 12
    COMPATIBLE WITH RFC[12]
  • 21
    COMPATIBLE WITH RFC[21]
  • 23
    COMPATIBLE WITH RFC[23]
  • 25
    COMPATIBLE WITH RFC[25]
  • 1000
    COMPATIBLE WITH RFC[1000]