Help choosing solver for optimization problem

Hi, I want to minimize the sum squared error between my system of ODEs output and a data set. My ODE parameters cannot be equal to or lesser than zero. Would this be a bound, least squares type of problem? Or would I consider the type of ODE that I am manipulating to get the SSE?

[Sean de Wolski]

Could you attach a zip file with the data and code that you have now?

[Renee]

Here it is

[Amit]

you forgot to attach !

[Renee]

Oops! Ok here it is. I left my code for fminsearch and fmincon in my main optim file btw.