Neuron: A nerve cell which produces an impulse due to relative changes in the electro-chemical gradient of the medium.
See the difference ?
GRRR I am beaten.
I'm pretty sure there's no difference, it's just two spellings (possibly originating in different countries...?) that have both come to be acceptable. I usually spell it neurone.
But yeah, they're the same thing. Neurone is a less common alternative spelling and virtually every modern source will use Neuron.
In short: Both terms mean the same thing, both spellings are fine to use, and it is very common to see them presented either way in scientific literature. For stylistic best practice though, you should really choose one that you prefer and be consistent with the spelling.
I work in neuroscience research, btw.
It's awful hearing people say 'neurone'.
I don't know if this is just me being stupid, but whats the difference between a neuron and a neurone? My lecturers use it in the same context in biology and psychology, it's well confusing!