Team:SCUT/Modeling

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{{Template:Team:SCUT/Modeling section}}
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You are provided with this team page template with which to start the iGEM season.  You may choose to personalize it to fit your team but keep the same "look." Or you may choose to take your team wiki to a different level and design your own wiki.  You can find some examples <a href="https://2008.igem.org/Help:Template/Examples">HERE</a>.
 
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  <h1>Introduction</h1>
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  <p class="text">
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  <span class="first">T</span>he creation of our odorant producer and sensor arise us with interesting questions: Is the system feasible? And how fast would the sensing response be? Instead of costing too much time in the lab, we turned to modeling to give us an answer. We have built a kinetic model for our systems, diacetyl generation, oscillation and odr-10 pathway, to give us an estimate to observe a result.
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  </p>
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  <p class="text"><strong>Modeling of our system</strong><br>
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  Mathematical modeling was used to simulate different parts of a synthetic bacteria-yeast ecosystem (diacetyl producer, oscillation and odr-10 pathway).
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  </p>
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  <ol class="word">
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  <li>Simplify the modeling of diacetyl producer to simulate production result easily.</li>
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  <li>We constructed deterministic and “degrade-and-fire” models to analyze oscillation.</li>
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  <li>With a systematic method which consists four parts (ODE pathway analysis, parameter sensitivity analysis, parameter sweep, stochastic analysis) to optimize the odorant sensing system.</li>
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  </ol>
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  <p class="text"><strong>How did modeling help our project?</strong><br>
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  Diacetyl production model makes it possible to compare conventional production.<br>
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  Oscillation model can simulate the period and maximum production in the oscillation. It can give us an estimate and help to design the experiment.<br>
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  Modeling of odr-10 pathway optimizes the project design of Sst2 gene. Through parameter sweep analysis made it possible to provide our best result of our pathway modeling. And it is possible to calculate required diacetyl production in a single cell.
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  </p>
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<div id="tblock2">
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  <h1>Diacetyl Producer</h1>
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  <p class="text">Our pathway model for diacetyl producer consists of two parts: ODE pathway analysis and parameter sensitivity analysis. ODE pathway analysis is to examine the feasibility of our pathway. It is the foundation of model analysis.
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  </p>
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  <div class="imgC">
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  <img style="height:240px;margin-right:10px;"src="https://static.igem.org/mediawiki/igem.org/9/9d/Scut_model01.jpg"/><img style="height:240px;"src="https://static.igem.org/mediawiki/igem.org/c/c6/Scut_model02.jpg"/><br>
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  <p class="tag"style="width:260px;float:left;margin-left:70px;"><strong>Figure 1.</strong> ODE pathway analysis</p><p class="tag"style="width:300px;float:left;margin-left:20px;"><strong>Figure 2.</strong> Reaction Rate sensitivity analysis</p>
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  <div style="float:left;padding:20px 25px;">
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  <a href="https://2013.igem.org/Team:SCUT/Modeling/Diacetyl_producer" class="learn">Learn more... ›››</a>
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  </div>
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!align="center"|[[Team:SCUT|Home]]
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!align="center"|[[Team:SCUT/Team|Team]]
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  <p onclick="scroll_2()"style="padding:2px 0;">Diacetyl Producer</p>
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!align="center"|[https://igem.org/Team.cgi?year=2013&team_name=SCUT Official Team Profile]
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!align="center"|[[Team:SCUT/Project|Project]]
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!align="center"|[[Team:SCUT/Parts|Parts Submitted to the Registry]]
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  <p onclick="scroll_3()">Oscillation</p>
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!align="center"|[[Team:SCUT/Modeling|Modeling]]
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!align="center"|[[Team:SCUT/Notebook|Notebook]]
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!align="center"|[[Team:SCUT/Safety|Safety]]
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  <p onclick="scroll_4()"style="padding:2px 0;">Odr-10 pathway</p>
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!align="center"|[[Team:SCUT/Attributions|Attributions]]
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<div id="tblock3">
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  <h1>Modelling of Oscillation</h1>
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  <p class="text">To describe the mechanisms of oscillation, we developed a deterministic and “degrade-and-fire” model, using delayed differential equations for protein and LuxI concentrations. Although the nature of oscillations is related to the degrade-and-fire oscillations observed in a dual delayed feedback circuit, an important difference in our model is the coupling in different cells through extracellular AHL. The model of this coupling, and the related cell-density dependence, allowed us to explain most of the oscillation mechanisms.
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  <div class="imgC">
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  <img style="width:650px;height:350px;"src="https://static.igem.org/mediawiki/igem.org/a/a8/Scut_model03.jpg"/>
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  <p class="tag"><strong>Figure 3.</strong> "degrade-and-fire" model</p>
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  </div>
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  <div style="float:left;padding:20px 25px;">
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  <a href="https://2013.igem.org/Team:SCUT/Modeling/Oscillation" class="learn">Learn more... ›››</a>
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  </div>
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If you choose to include a '''Modeling''' page, please write about your modeling adventures here. This is not necessary but it may be a nice list to include.
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  <h1>Pathway model of odr-10</h1>
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  <p class="text">Our pathway model for odr-10 consists of four parts: ODE pathway analysis, parameter sensitivity analysis, parameter sweep, stochastic analysis. ODE pathway analysis is to examine the feasibility of our odr-10 pathway. It also provides the foundation for next 3 sections of analysis.<br>
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  Through parameter sensitivity analysis, it can distinguish the important parameters for the pathway system. And we can figure out the best parameter set of our system by parameter sweep. Finally, noise analysis based on Gillespie algorithm of the important parameters. The analysis can simulate the influence effects of real conditions in vivo.
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  <table id="imgflame">
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    <th>Odr-10 pathway simulation</th>
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    <th>Parameter sensitivity analysis</th>
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    <td><img style="width:300px;"src="https://static.igem.org/mediawiki/igem.org/7/7f/Scut_model05.jpg"/></td>
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    <td><img style="width:300px;"src="https://static.igem.org/mediawiki/igem.org/a/ac/Scut_model06.jpg"/></td>
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  <tr>
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    <th>Parameter sweep for optimization</th>
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    <th>Noise analysis</th>
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  </tr>
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  <tr>
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    <td><img style="width:300px;"src="https://static.igem.org/mediawiki/igem.org/1/11/Scut_model07.jpg"/></td>
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    <td><img style="width:300px;"src="https://static.igem.org/mediawiki/igem.org/3/37/Scut_model08.jpg"/></td>
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  <div style="float:left;padding:20px 25px;">
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  <a href="https://2013.igem.org/Team:SCUT/Modeling/Odr-10_Pathway" class="learn">Learn more... ›››</a>
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  </div>
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</div>
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Latest revision as of 16:51, 7 October 2013

Introduction

The creation of our odorant producer and sensor arise us with interesting questions: Is the system feasible? And how fast would the sensing response be? Instead of costing too much time in the lab, we turned to modeling to give us an answer. We have built a kinetic model for our systems, diacetyl generation, oscillation and odr-10 pathway, to give us an estimate to observe a result.

Modeling of our system
Mathematical modeling was used to simulate different parts of a synthetic bacteria-yeast ecosystem (diacetyl producer, oscillation and odr-10 pathway).

  1. Simplify the modeling of diacetyl producer to simulate production result easily.
  2. We constructed deterministic and “degrade-and-fire” models to analyze oscillation.
  3. With a systematic method which consists four parts (ODE pathway analysis, parameter sensitivity analysis, parameter sweep, stochastic analysis) to optimize the odorant sensing system.

How did modeling help our project?
Diacetyl production model makes it possible to compare conventional production.
Oscillation model can simulate the period and maximum production in the oscillation. It can give us an estimate and help to design the experiment.
Modeling of odr-10 pathway optimizes the project design of Sst2 gene. Through parameter sweep analysis made it possible to provide our best result of our pathway modeling. And it is possible to calculate required diacetyl production in a single cell.

Diacetyl Producer

Our pathway model for diacetyl producer consists of two parts: ODE pathway analysis and parameter sensitivity analysis. ODE pathway analysis is to examine the feasibility of our pathway. It is the foundation of model analysis.


Figure 1. ODE pathway analysis

Figure 2. Reaction Rate sensitivity analysis

Diacetyl Producer

Oscillation

Odr-10 pathway

Modelling of Oscillation

To describe the mechanisms of oscillation, we developed a deterministic and “degrade-and-fire” model, using delayed differential equations for protein and LuxI concentrations. Although the nature of oscillations is related to the degrade-and-fire oscillations observed in a dual delayed feedback circuit, an important difference in our model is the coupling in different cells through extracellular AHL. The model of this coupling, and the related cell-density dependence, allowed us to explain most of the oscillation mechanisms.

Figure 3. "degrade-and-fire" model

Pathway model of odr-10

Our pathway model for odr-10 consists of four parts: ODE pathway analysis, parameter sensitivity analysis, parameter sweep, stochastic analysis. ODE pathway analysis is to examine the feasibility of our odr-10 pathway. It also provides the foundation for next 3 sections of analysis.
Through parameter sensitivity analysis, it can distinguish the important parameters for the pathway system. And we can figure out the best parameter set of our system by parameter sweep. Finally, noise analysis based on Gillespie algorithm of the important parameters. The analysis can simulate the influence effects of real conditions in vivo.

Odr-10 pathway simulation Parameter sensitivity analysis
Parameter sweep for optimization Noise analysis