# Team:Paris/Modeling/Programs

(Difference between revisions)
 Revision as of 13:55, 30 July 2008 (view source)KP (Talk | contribs)← Older edit Revision as of 15:47, 13 August 2008 (view source)Hugo (Talk | contribs) (→Finding Parameters)Newer edit → Line 8: Line 8: We are looking for constants involved in Hill functions :
We are looking for constants involved in Hill functions :
- * Inducer x on py : formation rate of y = b*(x^n/(K^n + x^n))
+ * Inducer x on py : formation rate of y = β*(x^n/(K^n + x^n))
- * Inhibitor x on py : formation rate of y = b*((K^n)/(K^n + x^n))
+ * Inhibitor x on py : formation rate of y = β*((K^n)/(K^n + x^n))
With following chemical interpretations : With following chemical interpretations : - * b = "quantity of DNA multiplied by the transduction rate"
+ * β = "quantity of DNA multiplied by the transduction rate"
* (K^n) = "activation constant : dissociation constant of the fixation of x on py"
* (K^n) = "activation constant : dissociation constant of the fixation of x on py"
* n = "stoechiometric coef. of x in the fixation of x on py"
* n = "stoechiometric coef. of x in the fixation of x on py"

## Finding Parameters

This program aims at fill this data bank, from experimental data obtained by our wet lab.

We are looking for constants involved in Hill functions :

• Inducer x on py : formation rate of y = β*(x^n/(K^n + x^n))
• Inhibitor x on py : formation rate of y = β*((K^n)/(K^n + x^n))

With following chemical interpretations :

• β = "quantity of DNA multiplied by the transduction rate"
• (K^n) = "activation constant : dissociation constant of the fixation of x on py"
• n = "stoechiometric coef. of x in the fixation of x on py"

After some trials, we have obtained interesting results in terms of precision. We are now trying to test the robustness of the estimations in order to quantify the influence of biological variance in the results as well as the influence of the number of points available.

The corresponding code can be found there : Estimation of the parameters