“…In the limit, this is clearly true, but if concentrations sufficient to kill all resistant mutants cannot be achieved, populations of surviving mutants rapidly expand to fill the niche vacated when pathogens are killed by chemotherapy [3,4,[23][24][25]. This process of niche expansion (also called 'competitive release') has been demonstrated in animal disease models [24,[26][27][28] and in humans [29,30]. Competitive release means that in the simplest case, the relationship between drug dose and resistance emergence is an 'inverted U': at very low doses, there is no selection for resistance, at high doses, everything is killed, and in between, resistance evolution is promoted [3,4,31] .…”