Table 2. Evaluating the Strain Stiffening Behavior by Model Fitting.
Linear Model Parameters |
Hill Model Parameters |
||||||
---|---|---|---|---|---|---|---|
Treatment | Best Model | β | c | RSS | α | λ | RSS |
3 d Con | Hill | 6.32e-6 | 0.060 | 0.0502 | 0.133 | 1653 | 0.0478 |
3 d GA | Hill | 7.54e-6 | 0.067 | 0.0351 | 0.157 | 1856 | 0.0285 |
Uni | Hill | 6.81e-6 | 0.033 | 0.0057 | 0.124 | 3049 | 0.0041 |
Model comparisons of linear versus Hill-type equation were performed for the oscillation data on the 3 DAS samples for the different treatments. The linear model has the form , and the Hill model has the form
, where Σ = strain and F = force. The model fitting is done using the nonlinear least squares method in R. As both models have two free parameters, the model that best fits the data is selected based on it having the smallest RSS (underlined).