Hi all, fairly new to statistics, so apologies in advance if the below is not suitable for this forum.
I have a data set in which the behavior is fairly asymptotic with 0 over time.
I'm wondering what would be the best type of regression model to fit this data given that logarithmic regressions are undefined at 0.
My initial thoughts are using a power model or to alter the 0-time points to be slightly positive, but any more experienced input would be more than welcome.
Thanks!
Example of data:

I have a data set in which the behavior is fairly asymptotic with 0 over time.
I'm wondering what would be the best type of regression model to fit this data given that logarithmic regressions are undefined at 0.
My initial thoughts are using a power model or to alter the 0-time points to be slightly positive, but any more experienced input would be more than welcome.
Thanks!
Example of data:
