So far these are all somewhat incorrect.
Usually pus = more cells. Pus means there are neutrophils, an inflammatory cell (white blood cell) important for cleaning up dead stuff and killing bacteria.
If it’s more liquid, it’s more fluid, with fewer cells. Maybe a pore is blocked and so oils and fluid accumulates. If it gets bacteria and lots of dead cells and keratin (think the stuff your nails are made of), you may get inflammation and accumulation of pus if it can’t drain
Latest Answers