As others have pointed out, Prophet is not a particularly good model for forecasting, and has been superseded by a multitude of other models. If you want to do time series forecasting, I'd recommend using Darts: https://github.com/unit8co/darts . Darts implements a wide range of models and is fairly easy to use. The problem with time series forecasting in general is that they make a lot of assumptions on the shape of…
> they expect that your data comes at a very regular interval Does prophet rely on this assumption? For health timeseries data the tool of choice is survival analysis - typically using Cox proportional hazards regression or similar regression tools that are able to handle irregular or censored data. I've seen some moves towards using fancy bayesian or fancier machine learning stuff for clinical trials but a big issue…
(Thought the actual sampling mechanics and tooling can be much more complex)