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Parameter Fitting in coupled differential equation


Hello!

I have two coupled differential equations:

dx/dt = -(f2+r1) x + r2 y + f1 c0
dy/dt = f2 cM x - f2 x y - r2 y

As you can see I have five different parameters f1, f2, r1, r2, cM
I also have two sets of measurements (x[t], y[t])

Is it possible to let Mathematica search for the parameter set which  
produces the best fit to the measured values?

Thanks!

Alex



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