The company offered little 'by way of explanation' for the delays. [=as a way of explaining why there were delays]
Some of the more technical terms need/require 'explanation'. [=they need to be explained]
a likely/probable/possible/plausible 'explanation of' how the accident occurred
(..) Or ringing in your ears, like you have tinnitus. gravity starts to shift and slides us out of the room. Have you found a scientific explanation for it? - Like, is it for them? - Oh, no, we think it's for us. The air doesn't seem to circulate inside the chamber, so... It doesn't take hours (..)2016 Arrival