When House and his team are overlooking the patient and discussing the galvanometer, the screen behind them shows the patient on his own, despite the reflection of nurses below who are attending to him.
When House and Wilson are at the lecture, Foreman walks in to speak with House about the patient and no one is sitting in the seats in front of them, when the camera shifts to behind House to show their backs looking towards the front of the lecture hall, you can see the arm of someone sitting directly in front of them (body hidden behind Foreman) who wasn't sitting there in the frame before.
House supposedly gives himself a direct IV injection of nitroglycerin to test an experimental anti-migraine medication. In fact, nitro must be diluted when given intravenously. Otherwise it can/will cause severe hypotension or shock. Also, the mechanism of action for migraines is unclear.
When House steps out of the shower, underwear can be seen under his towel for a brief moment.
In the first scene camera equipment can be seen in the reflection in the helmets of the father and son.
House says a Belgian doctor named Einthoven invented the galvanometer. In fact, Einthoven was Dutch.
When Dr. Foreman is talking to Adam's parents about the necessity of a spinal tap, he says that Adam needs a 'lumbar puncture'. The lumbar area of the spine is in the lower back. Dr. House's specific instructions and the subsequent procedure are for a cervical puncture, which is in the neck.
When Dr. Weber was explaining the study for his new drug, he states that he used an ANOVA, however mispronounced it as AN-UH-VA. It is correctly pronounced AN-OH-VA.