Team:Paris/Modeling/first parameters

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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|center