How fit a parameterised ode solution to experimental data

I have a model, a system of Odes, defined by a set of parameters. I also have a number of raw experimental data sets. I want to find an optimal parameterisation, what is a method of doing so?

Does there exist functionality in matlab to score the fit of one data set to another? If so I can easily write an optimisation algorithm using fmincon.

Any help is greatly appreciated as I have not attempted something like this before.

Answer 1

[Torsten]

Take a look at Star Strider's answer under

http://www.mathworks.com/matlabcentral/answers/43439-monod-kinetics-and-curve-fitting

Best wishes

Torsten.

[Laurence hutton-smith]

Many thanks for this link, I will look into it now.

Answer 2

[Bjorn Gustavsson]

In addition to that this might be a possible solution provided you have access to the system identification toolbox: Estimating Nonlinear Grey-Box Models

HTH

[Laurence hutton-smith]

Thanks :)