In the FDE Platforms, you will have to choose the best model (between B-Splines, P-Splines and Wavelets models), and then extract the functional principal components (number of FPCs depends on how much variability you want to keep and how informative each FPC is for the model (information criterion like AICc or BIC), in order to avoid overfitting).
These FPCs correspond to the changes between curves and help model back the original experimental curves (with the corresponding mean curve and eigenfunctions), so you can keep them as a response and create a model linking your DoE factors to these FPCs to have an understanding about how each factor(s) change the curve.
If you have a "golden curve" you're trying to match, there is an option in the FDE to add this curve as a reference, and you'll have in the FDOE profiler complementary infos about how the changes in factors make your experimental curves deviate or approach from the golden curve.
Victor GUILLER
L'Oréal Data & Analytics
"It is not unusual for a well-designed experiment to analyze itself" (Box, Hunter and Hunter)