Your a PhD in I don’t know what so I cant tell you anything i guess. You clearly weren’t a PhD in math or engineering. Only the start of the cycle could be described as close to an exponential curve. The growth AND decay of the cycle is not an exponential, it going to be more sinusoidal, which is described by Fourier better than polynomial.
An exponential fit is one of many tools in a tool box. If you had studied math, statistics to any degree you would be looking at ALL the other tools in the box knowing that at some point this is no longer exponential.
It’s likely this would be fit by a first or second order Fourier fit or first order Fourier polynomial. I’ve done my part to make you aware. Carry on PhD
Your a PhD in I don’t know what so I cant tell you anything i guess. You clearly weren’t a PhD in math or engineering. Only the start of the cycle could be described as close to an exponential curve. The growth AND decay of the cycle is not an exponential, it going to be more sinusoidal, which is described by Fourier better than polynomial.
It is obvious that you do not have a PhD in a life science, nor do you have ANY experience modeling growth curves. You should expect that someone who has a PhD in a life science is intimately familiar with the mathematical and statistical functions necessary for data analysis in that field.
When I use a polynomial to fit the curve, it is because I know, with 20 years experience, that the polynomial is accurate to within a few thousandths, or to within 0.0000n of the actual value. In other words, the error is so low that it is swallowed by background noise.
Don't make the mistake of thinking that because you studied engineering, that you have any kind of understanding of the life sciences or the mathematics that we use.