Tokyo/Formulation/2.toggle model with hybrid promoter

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<br>[[Image:AHLresponse2-2.jpg|300px|]]
<br>[[Image:AHLresponse2-2.jpg|300px|]]
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<br>実際に,式を解いて相平面を書いてみると図のようになる.
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<br>we result ODEs and draw phaseplane.
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実際に,式を解いて相平面を書いてみると図のようになる.
<br>[[Image:expression2-2.jpg|200px|]]
<br>[[Image:expression2-2.jpg|200px|]]

Revision as of 18:04, 21 October 2007

we add the effect of hybrid promoter to ODEs of the toggle switch. Our hybrid promoter is activated by AHL,so we need to add that effect.


Expression2-3.jpg
Similarly to last section,we normalize ODEs and analyze dimentionless ODEs.


Expression2-4.jpg


Next,we analyze this system's response to AHL added from extracellular.


AHLresponse2-1.jpg


Ideal behavior of our model is showed below figure.
When AHL is low,E.coli of B status transit A status.On the other hand,when AHL is high,E.coli of A status and that of B status are stable in each status.


AHLresponse2-2.jpg


we result ODEs and draw phaseplane.

実際に,式を解いて相平面を書いてみると図のようになる.


Expression2-2.jpg



AHLresponse2-3.jpgAHLresponse2-4.jpgAHLresponse2-5.jpg