Parameter evaluation in ODE.

Hi everyone,

I am working on kinetic model and i want to evaluate the parameter in the models. I have three parameters (alpha, beta and m) that involved in three ODE.

 dx/dt = u*X
 dp/dt = alpha*(dx/dt) + beta*X
 ds/dt = (1/Yxs)*dx/dt + (1/Yps)*dp/dt + m*X

I am using ODE45 to solve the ODE function and fminsearch for fitting. However, the fminsearch doesn't seem to minimize the function. I wish someone could give me a suggestion. I attach the file along with this question. Thank you very much.

Answer 1

[Stephan]

Hi,

try the attached code. It first evaluates and plots the results of your ode-system with the initial ko values. Then it optimizes the ko-values to least squares fit to your data. The optimized ko values are then used to integrate the function with ode45 as known. Then this result is plotted in a second figure, so that you can compare both figures.

The minimizedww.m file is not needed for this version.

Best regards

Stephan