Team:HUST-China/Modelling/DDE Model

From 2013.igem.org

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<h1 class="page-header"><strong>Overview</strong></h1>
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<h1 class="page-header"><strong>DDE MODEL</strong></h1>
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<p>
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<h2 class="page-header"><strong>Goal</strong></h1>
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The major goal of modeling this year is stimulating the working condition of the oscillation. The genetic oscillation we used is described as below. 
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To simulate how the oscillator works.
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<h2 class="page-header"><strong>Methods</strong></h1>
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<img src="https://static.igem.org/mediawiki/2013/a/ab/Pathway_HUST.png" width="350px;" />
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1. Establish ODE equations based on Mass-action law;<br />
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<p class="small">Fig 1.The pathway of genetic oscillator used in this paper</p
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2. Investigate reasonable parameter sets from previous researches;<br />
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3. Simulation; <br />
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The enzymes that can induce the expression of propanoic acid is replaced with mRFP. Throughout the whole paper, we choose to study AraC instead of mRFP since they are in the same plasmid and expression rate of both protein is similar. By doing this, we can reduce the number of equations. We put our focus mainly on two aspect:
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<h2 class="page-header"><strong>Results</strong></h1>
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(1)Oscillator of a single cell (DDEs).
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We solved these DDEs with R language. We also went one step further. We simulated the situation in which lag obeys a specific gaussian distribution, and the lag $\tau$changes in every certain interval. We hoped by running a random test, we could get closer to real life situation.
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(2)Oscillator of a group of cells (MCOS).
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The results are below.
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To be more specifically, we want to find out if this genetic oscillator can oscillate in the first place, if it is stable against environment change, if its period can be adjusted, whether a large group of these oscillators can oscillate as well.
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Revision as of 13:20, 27 September 2013

DDE MODEL

To simulate how the oscillator works. 1. Establish ODE equations based on Mass-action law;
2. Investigate reasonable parameter sets from previous researches;
3. Simulation;
We solved these DDEs with R language. We also went one step further. We simulated the situation in which lag obeys a specific gaussian distribution, and the lag $\tau$changes in every certain interval. We hoped by running a random test, we could get closer to real life situation. The results are below.