Team:Newcastle/Modeling/Stochastic

From 2009.igem.org

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(Stochastic Switch model)
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Models can also be run with specific values of IPTG, Xylose and Arabinose.
Models can also be run with specific values of IPTG, Xylose and Arabinose.
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[[Image:Team_Newcastle_iGEM_2009_StochasticSwitch_Graph_1.png|left|thumb|450px|mRNAs transcribed for Hin from left to right and from right to left. IPTG=1000nM, Xylose=1000nM, Arabinose=0nM]]
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[[Image:Team_Newcastle_iGEM_2009_StochasticSwitch_Graph_1.png|left|thumb|500px|mRNAs concentrations transcribed for Hin from left to right and from right to left. IPTG=1000nM, Xylose=1000nM, Arabinose=0nM]]
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[[Image:Team_Newcastle_iGEM_2009_StochasticSwitch_Graph_2.png]]
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[[Image:Team_Newcastle_iGEM_2009_StochasticSwitch_Graph_3.png]]
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[[Image:Team_Newcastle_iGEM_2009_StochasticSwitch_Graph_2.png|left|thumb|500px|Rfp, Hin and Gfp concentrations. IPTG=1000nM, Xylose=1000nM, Arabinose=0nM]]
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[[Image:Team_Newcastle_iGEM_2009_StochasticSwitch_Graph_4.png]]
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[[Image:Team_Newcastle_iGEM_2009_StochasticSwitch_Graph_3.png|left|thumb|500px|Hin vs. SspB. IPTG=1000nM, Xylose=1000nM, Arabinose=0nM]]
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[[Image:Team_Newcastle_iGEM_2009_StochasticSwitch_Graph_4.png|left|thumb|500px|SspB, Hin, Rfp and Gfp concentrations. IPTG=1000nM, Xylose=1000nM, Arabinose=1000nM]]
==Matlab Files==
==Matlab Files==

Revision as of 08:51, 21 October 2009


Contents

Stochastic Switch model

Our heads or tails stochastic switch is used in our system to a give decision to be a metal container and sequester Cadmium, or continue to normal vegetative life. This cell fate decision is given based on a number of parameters stochastically. Hin invertase which inverts a promoter is also included in the same region. Its expression is controlled by LacI controlled pspac promoter (inducable by IPTG) and XlyR controlled ‘’xylA’’ promoter (Inducable by Xylose).

LacI binds to pspac promoter and represses its expression whereas XylR binds to XylA promoter and represses the expression from ‘’xylA’’ promoter. When induced with IPTG, LacI falls off from the pspac promoter and when induced with Xylose, XylR falls of from ‘’xylA’’ promoter and does not repress any more. The differences between LacI's and XylR's binding affinities to promoters and to their inducers effect the expression of Hin, hence the direction of the invertible region. When this region is oriented from left to right and ‘’pspac’’ promoter is not repressed by LacI, ‘’sigA’’ promoter in the invertible region expresses Rfp. When the region is oriented from right to the left, sigA promoter in the invertible region is also turned to right and expresses Gfp, when its way is not blocked by XlyR bound to ‘’xylA’’ promoter.

Hence Gfp and Rfp concentrations can be used as an indication of cell fate decisions and other downstream genes can be added after Rfp or Gfp to trigger those decisions.

This circuit can easily be controlled by IPTG and Xylose. As a third control, Arabinose can also be used. The orientation of the invertable region highly effects the outcome of this circuit and the direction is changed by Hin protein. By doing so, its expression is also affected and this situation also adds to the stochasticity. In our design, Hin proteins are tagged with the modified version of ssrA degradation tag which requires sspB adaptor protein to target Hin proteins for the degradation by ClpXP system. Hence by controllling the expression of sspB by Arabinose (via araE promoter controlled by AraR), concentration of Hin can be controlled. Where necessary just a pulse of Hin can be created.

For more information about the design of the switch: Team:Newcastle/Stochasticity

Team NewcastleStochastic switch.png

Simulations

In the diagrams below X-Axis shows IPTG and Y-Axis shows Xylose concentration. IPTG and Xylose concentrations are changed between 0 and 9000nM. Three sets of model outputs were created for 0nM, 1000nM and 10000nM of Arabinose. The first column shows Gfp concentrations and the second column shows Rfp concentrations,

Gfp Concentration Rfp Concentration
Arabinose=0nM
Team Newcastle iGEM 2009 StochasticSwitch GFP 1.png Team Newcastle iGEM 2009 StochasticSwitch RFP 1.png
Arabinose=1000nM
Team Newcastle iGEM 2009 StochasticSwitch GFP 2.png Team Newcastle iGEM 2009 StochasticSwitch RFP 2.png
Arabinose=10000nM
Team Newcastle iGEM 2009 StochasticSwitch GFP 3.png Team Newcastle iGEM 2009 StochasticSwitch RFP 3.png


Single Runs

Models can also be run with specific values of IPTG, Xylose and Arabinose.

mRNAs concentrations transcribed for Hin from left to right and from right to left. IPTG=1000nM, Xylose=1000nM, Arabinose=0nM
Rfp, Hin and Gfp concentrations. IPTG=1000nM, Xylose=1000nM, Arabinose=0nM
Hin vs. SspB. IPTG=1000nM, Xylose=1000nM, Arabinose=0nM
SspB, Hin, Rfp and Gfp concentrations. IPTG=1000nM, Xylose=1000nM, Arabinose=1000nM

Matlab Files

Previous versions

Here are the matlab files for our stochastic switch model, and below are some graphs which the model produced earlier.


NewcastleStochastic Model1.PNG NewcastleStochastic Model2.PNG NewcastleStochastic Model3.PNG NewcastleStochastic Model4.PNG NewcastleStochastic Model5.PNG




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