- Have lsqnonlin pass in a set of parameters x.
- in your ODE solving function solve each ODE with its own initial conditions for its own set of times.
- Concatenate all of the solutions as F(x) and calculate F(x) - [xdata;ydata;zdata] as the lsqnonlin output (response)
lsqnonlin multiple dataset optimisation
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Malgorzata Wieteska
on 27 Feb 2021
Commented: Malgorzata Wieteska
on 2 Mar 2021
Hello;
I would like to optimise simple ode using multiple datasets. I wonder if is possible to do it using lsqnonlin command? Of course, I will want to allow for different values of the initial conditions for each dataset.
I found, that Population-wide parameter estimation can be done in the Simbiology, however, I would rather prefer to use the lsqnonlin.
Thank you in advance
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Accepted Answer
Alan Weiss
on 1 Mar 2021
It sounds like you are trying to find a set of ODE parameters that work for multiple data sets. If that is true, then I think that the workflow is this:
Good luck,
Alan Weiss
MATLAB mathematical toolbox documentation
More Answers (2)
Arthur Goldsipe
on 27 Feb 2021
You can use lsqnonlin with or without SimBiology. If you want to do this without SimBiology, you need to write a function that takes in the parameters you are trying to estimate, solves your ODEs (for example, using ode45 or ode15s, and returns a vector of residuals (the difference between the simulation results and the measured values). You will also find many similar questions posted on MATLAB Answers, several of which are mentioned in the answer here.
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