I can't say that was ever discussed during patophysiology.

One case which I can speak about is malaria. There, it is due to Plasmodium's life cycle. It takes 3 days for them to mature in a cell. So day 1 they enter the cells, they 4 they burst the cells open, which releases all its crap simultaneously from many cells. Day 7 it's hatching time again etcetc.

I reckon there's also 1 with 4 day life cycle.