I'm new to matlab i want to estimate kinetic parameter from experimental data.

I have substrate concentration, biomass concentration and production concentration as a function of time now i want to fit logistic model, using curve fit tool. Can anyone pls help to use the curve fit tool to kinetic parameters

Answer 1

[Star Strider]

If you have defined your own objective function, one option is: Parameter Estimation for a System of Differential Equations.

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[Priyanka]

@Star Strider Thank you so much, Stiil i have an doubt how to use lsqcurvefit and how to enter custom equation in curve fit tool in matlab and another how to plot Three Ylabel in same graph

[Sam Chak]

@Priyanka, We cannot advise or assist you if no data and info about the desired logistic model are provided.

More importantly, do you expect the model to look like this?

[X, Y]  = meshgrid(0:0.04:2);

%% parameters of the model
centerX = 1;    % center of x-logistic model
centerY = 1;    % center of y-logistic model
growthX = 6;    % growth of x-logistic model
growthY = 8;    % growth of y-logistic model
amplitu = 2;    % amplitude of the function

%% logistic model
Z       = amplitu*(1./(1 + exp(- growthX*(X - centerX))) * 1./(1 + exp(- growthY*(Y - centerY))));

surf(X, Y, Z)
xlabel('substrate concentration'), 
ylabel('biomass concentration'), 
zlabel('production concentration')

[Priyanka]

@Star Strider yes similar to this the model I'm expecting, Thank you!

[Star Strider]

@Priyanka — My pleasure!

It would help to have your data and tthe model that you want to fit.

Kinetic models (in my experience) are systems of diifferential equations with respect to time. The code I referenced gives an example of how to integrate them and fit them to data, however in your application, it may be necessary to plot the integrated results of the parameter estimation as functions of each other rather than functions of time. This is possible, however would require more code than in the example I linked to.