"Respiration" in this context has nothing to do with _breathing_ , it refers to _cellular respiration_. These are the chemical reactions that make ATP to be used in energy-requiring processes in the cell. Human cells do cellular respiration, too, and while we require breathing to replenish oxygen (and carry away carbon dioxide), this is not part of cellular respiration. Don't confuse them just because they have the same word in the name.
These processes occur more or less continuously in all cells; the rates can vary with conditions (for example, your muscle cells are going to do more cellular respiration when you run than when you sleep), but cellular respiration isn't breathing so don't expect it to be rhythmic the same way breathing is.