Nonlinear differential equation curve fitting to experimental data

Hello there. I'm new user of MatLab and I want to ask for your help. I must fit curve of differential equation:

where Pe, P0, R, gamma are known parameters, to my experimental data:

t [ms]  p[bar]
20,3689  0,58653
22,3770  0,86538
24,0984  1,18269
26,3934  1,75000
27,5410  2,29808
28,9754  2,88462
30,6967  3,86538
32,7049  5,39423
35,5738  7,40385
36,4344  8,07692
37,5820  8,49039
38,1557  8,90385
38,7295  9,08654
39,5902  9,40385

As a result I want to obtain the value of Su corresponding to curve fitted to experimental data. How shold I start to solving this problem in MatLab? Are there any examples of fitting similar equations? Thank you for any advice!

Answer 1

[Star Strider]

There are several examples:

• Monod kinetics and curve fitting (link)
• Solving Coupled Differential Equations (link)
• Parameter Estimation for a System of Differential Equations (link)