Complexations Caracterisation
The first hypothesis is that a complexation reaction is fully determined by the following :
and that the rates k_{+} et k_{} stay constant under all conditions. Then, the second hypothesis is that these equations are (kinetically speaking) elementaries :
and at steadystate :
Then, since we guess that the only data we will first have are the quantites of A and B introduced, the only equations we will deal with is the following, entirely determining the concentration C_{eq} at steadystate (at least if we take the smallest real root of the equation, it is useless to demonstrate the unicity, or even the existence, of such a solution) :
Finding Parameters
Then, by solving the previous equations for a given set of K et n, we can have a approximation of the equivalent C_{eq}. The idea, in order to find the bests parameters which correspond to our measurements, is to run a basical program of quadratic optimisation. The final error would tell us if our modelisation is consistent.
((((the following is not coresponding to the new model, but we will use the same frame to expose the corresponding program)))))
(((((((This program aims at fill this data bank, from experimental data obtained by our wet lab. )))))))
(((((( 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. ))))))))
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(((((( The corresponding code can be found there : Estimation of the parameters )))))))
