When House picks up his keys, we can see that they were on the book "Memoirs of Sherlock Holmes", by Arthur Conan Doyle. House himself can be - and is, numerous times - compared to Holmes in many ways.
House: We still need Trapper John. Referencing the chief surgeon of the M*A*S*H 4077th in the novel, and also in the movie, and two TV series, as played by Elliot Gould, Wayne Rogers, and Pernell Roberts. The character appeared in the original series in its first three seasons, and then was spun off into his own series, Trapper John M.D., which ran from 1979 to 1983.
The trivia items below may give away important plot points.
When House makes the final diagnosis for Todd, he jokingly calls Todd "Biggie" while explaining that fragments from one of the hollow point bullets he was shot with remained undetected in his hip. The joke is a reference to famed rapper, The Notorious B.I.G. (a.k.a., "Biggie Smalls") who was gunned down in a vehicle; the shooter used hollow point bullets.
The exterior shot of House's apartment that explodes during his dream reveals the address numbers being "221". Incidentally these are also the same numbers of Sherlock Holmes' Baker Street address. House is often compared to being a contemporary Sherlock Holmes.