The paper seems to deal with the pathways by which teeth sense cold, and by which cold is sensed as pain. However, the BBC article seems to introduce another element by using the term 'brain jolt' - which probably refers to the intense 'cold headaches' one can experience from eating too much cold food or drink too quickly. However, I don't see that this is referred to anywhere within the paper (please correct me if I'm wrong) - so this aspect of the BBC's article is extrapolating too far, and should probably be amended.