How do we solve multiple ODEs to fit empirical observations by optimizing multiple constants?

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Nitin Samuel 2012-8-21

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https://ww2.mathworks.cn/matlabcentral/answers/46395-how-do-we-solve-multiple-odes-to-fit-empirical-observations-by-optimizing-multiple-constants

I have 3 ODEs and 2 parameters to be optimized to fit the ODE's to given data..

eg dA/dt = -(K1+K2)*A;

dB/dt = K1*A;

dC/dt = K2*A

where t= time and K1,K2 are constants

I have been given A,B and C vs time data..I must manipulate K1 and K2 to match the data. How do I go about doing this using optimization toolbox? Please suggest a sample code if possible..

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Teja Muppirala 2012-8-21

Hi Nitin, I provided an answer on the original question that you posted a while back.

If you don't feel like you've gotten a good answer when you previously asked a question, it is generally a better idea to go back and ask for more clarification, or provide more information, instead of starting a new post with the same question again. That way, all the information and previous conversation regarding your problem will stay on one page.

Nitin Samuel 2012-8-21

编辑：Nitin Samuel 2012-8-21

sorry!! i didnt get a notification that you replied.will see that now..will remove this asap..

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Answer 1

Elizabeth 2012-8-21

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https://ww2.mathworks.cn/matlabcentral/answers/46395-how-do-we-solve-multiple-odes-to-fit-empirical-observations-by-optimizing-multiple-constants#answer_56751

Set each ODE equal to zero on the RHS and minimize the difference between the two terms on the LHS for each of your ODEs to be optimized [subject to your constraints].