I have this[1] portion of a data-set, where the y values eventually must reach an asymptotic limit. I have seen `asymptotic regression` (y = b0 + b1 * e ^ (b3 * x)) and I think it would be the best model to fit this data. Alternatively, I have the following "saturation dynamics"[2] function:
def f(x, a, b, n):
return a * x ** n / (x ** n + b)
(1) What is this "saturation dynamics" model? What do its parameters mean? How can I use the above models to fit any of the other data similar to my dataset?
(2) Also, I read something about "fit[ting] the logarithm of the model" as initial conditions in case I wanted to use another model...what does that mean?
[1]: https://pastebin.com/A3s9dUKp [2]: https://stackoverflow.com/questions/45554107/asymptotic-regression-in-python