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..

[Teja Muppirala]

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]

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

Answer 1

[Elizabeth]

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].