Team:Aberdeen Scotland/Modeling

From 2010.igem.org

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<p>In this section we describe the process of developing a basic mathematical model for the ayeSwitch based the promotion and inhibition behaviour necessary for mutual repression.  We developed a set of four differential equations, one to model each of the two mRNAs and proteins that are the active components of our system.</p>
<p>In this section we describe the process of developing a basic mathematical model for the ayeSwitch based the promotion and inhibition behaviour necessary for mutual repression.  We developed a set of four differential equations, one to model each of the two mRNAs and proteins that are the active components of our system.</p>
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<h3><a href="https://2010.igem.org/Team:Aberdeen_Scotland/Fixed_Points">Fixed Points</a></h3>
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<h3><a href="https://2010.igem.org/Team:Aberdeen_Scotland/Fixed_Points"><font color="blue">Fixed Points</font></a></h3>
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<p>In order to predict the behaviour of the ayeSwitch, we used </p>
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<p>We used fixed point analysis to predict the equilibrium state of the ayeSwitch system for different paramenters.</p>
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<h3>Bifucation</h3>
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<h3><a href="https://2010.igem.org/Team:Aberdeen_Scotland/Bifurcation"><font color="blue">Bifucation</font></a></h3>
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<h3>Stochastic Model</h3>
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<h3><a href="https://2010.igem.org/Team:Aberdeen_Scotland/Stochastic_Model"><font color="blue">Stochastic Model</font></a></h3>
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<h3>Stability</h3>
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<h3><a href="https://2010.igem.org/Team:Aberdeen_Scotland/Stability"><font color="blue">Stability</font></a></h3>
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<h3>Parameter Variations</h3>
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<h3><a href="https://2010.igem.org/Team:Aberdeen_Scotland/Parameter_Variations"><font color="blue">Parameter Variations</font></a></h3>
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<h3>Probability</h3>
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<h3><a href="https://2010.igem.org/Team:Aberdeen_Scotland/Probability"><font color="blue">Probability</font></a></h3>
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<h3>Directed Evolution</h3>
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<h3><a href="https://2010.igem.org/Team:Aberdeen_Scotland/Evolution"><font color="blue">Directed Evolution</font></a></h3>
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Revision as of 18:16, 15 October 2010

University of Aberdeen - ayeSwitch - iGEM 2010

Introduction to the Modelling the ayeSwitch

This page is an introduction to the different equations and techniques that we used to design and predict the behaviour of the ayeSwitch.


Equations

In this section we describe the process of developing a basic mathematical model for the ayeSwitch based the promotion and inhibition behaviour necessary for mutual repression. We developed a set of four differential equations, one to model each of the two mRNAs and proteins that are the active components of our system.


Fixed Points

We used fixed point analysis to predict the equilibrium state of the ayeSwitch system for different paramenters.


Bifucation

Stochastic Model

Stability

Parameter Variations

Probability

Directed Evolution