Team:Paris/Modeling/first parameters

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==Chosen Modeling==
==Chosen Modeling==
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As we have five genes and associated promoters involved, we will consider a set of five differential equations that are devised to represent the underlying biological reactions. Assuming that the interactions can be described thanks to Hill function (described below), we end up with the following set of ordinary differential equations :
As we have five genes and associated promoters involved, we will consider a set of five differential equations that are devised to represent the underlying biological reactions. Assuming that the interactions can be described thanks to Hill function (described below), we end up with the following set of ordinary differential equations :
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[[Image:Equations.jpg|center]]
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[[Image:EquationsBacterioclock.jpg|center]]
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where :
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[[Image:Hill.jpg|center]].
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Besides, we have used the following notations:
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[[Image:ListeGenes.JPG|center]].
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==Set of parameters providing oscillations==
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[[Image:First_Parameters.JPG|center]]
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==Example of oscillations obtained==
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[[Image:Fifo_oscill_1.jpg|center]]
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Besides, we note that a "First In, First Out" behaviour is obtained concerning the GFP, RFP and CFP concentrations, as shown in the next picture, provided that a gene is 'ON' when it has passed a threshold of 10% of its maximum value.
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[[Image:FIFO_1.jpg|center]]
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== Corresponding code ==
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* [[Team:Paris/Modeling/first parameters/premiermodele|First Model]]
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* [[Team:Paris/Modeling/first parameters/ODE|ODE]]
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* [[Team:Paris/Modeling/first parameters/Simulation|simul]]
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Latest revision as of 16:08, 1 August 2008

Contents


Chosen Modeling

As we have five genes and associated promoters involved, we will consider a set of five differential equations that are devised to represent the underlying biological reactions. Assuming that the interactions can be described thanks to Hill function (described below), we end up with the following set of ordinary differential equations :

EquationsBacterioclock.jpg

where :

Hill.jpg
.

Besides, we have used the following notations:

ListeGenes.JPG
.

Set of parameters providing oscillations

First Parameters.JPG

Example of oscillations obtained

Fifo oscill 1.jpg

Besides, we note that a "First In, First Out" behaviour is obtained concerning the GFP, RFP and CFP concentrations, as shown in the next picture, provided that a gene is 'ON' when it has passed a threshold of 10% of its maximum value.

FIFO 1.jpg

Corresponding code


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