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Factual errors
Although Naegleria Fowleri can indeed be contracted from contaminated water, the amoeba must be insufflated deeply into the nose and successfully attach to the olfactory nerve.
Additionally, the prognosis for Naegleria induced Primary Amoebic Meningoencephalitis (PAM) is extremely poor, with a fatality rate of around 99%. This is because the amoeba aggressively destroys brain tissue as it travels though the brain. Regardless of treatment, Foreman would have almost certainly succumbed to the infection.
Finally, there is no known treatment for PAM once the symptoms have manifested.
While some antifungal medications are effective against the amoeba itself, no medication has been conclusively shown to be effective at halting the progression of PAM.
"Baby Shoes" pulls his revolver and shoots the officer. When he pulls his gun and points it, he's holding it with both hands. When the shot changes to a slow motion visual effects shot of the bullet flying, his facial expression has changed, and he's only holding the gun with one hand.
The patient is referred to as "Joe" early on, and later on as "Joe Luria." In between that time, House refers to him as "Anton," and shortly thereafter as "Officer Krupke." Anton-Babinski syndrome is the type of blindness the officer is experiencing. House is referring to that, not the officer's name. In addition, the "Officer Krupke" could be a reference to the Officer Krupke character in West Side Story who was portrayed as fairly ineffective at his job.
When patient Joe Luria has a tachycardia episode and an ocular bleed, the blood disappears and reappears between shots.
Foreman said the cop was shot with ".38 hollow points which are ferro-magnetic". Hollow points are meant to expand on impact and therefore are made of malleable materials, mostly lead and copper.
Foreman states that Baby Shoes was firing .38 caliber hollow-point bullets, which contain ferromagnetic metals. This is completely wrong, the vast majority of bullets, including hollow-points, are made of two metals: lead and copper, neither of which are magnetic. The only type of bullet that contains magnetic metals are armor piercing bullets that have a steel core, and those are only found in high powered rifles. A hollow-point also is not designed to break into smaller pieces, they are designed to expand, or "mushroom" out to cause more severe tissue damage than a standard bullet. The way it does this is by having a hollowed out tip with wedges cut into the tip which cause the jacket to expand outwards, they do not contain a special material to help with this.
When reviewing Foreman's MRI, House notes an abnormality of the Cingulate cortex and points to a region on the MRI. Unfortunaltey, he points to the occipital pole not the cingulate cortex.
After doctors Cameron, Chase and Foreman can't find a blood clot in the Echocardiogram, Cameron asks where else can they look and Chase suggests looking for DVT in the legs. DVT is a venous thrombotic event, which almost never cause brain clots. Chase would know it makes no sense to do this test in this context.
In the beginning of the episode, the team refers to the cop as "Anton" but then later on, his name is Joe. Anton-Babinski syndrome is the type of blindness the officer is experiencing. House is referring to that, not the officer's name.
House shoots a corpse in the head then puts him on a MRI machine to see if the bullet is ferromagnetic. He could have just used a magnet.
House assigns Foreman to check out the patient's car, work, and home, but says he himself will check out the precinct. The precinct would be the patient's workplace.
Foreman discovers a marijuana grow room at the police officer's home. A drip irrigation system is in use, however the water is being sprayed onto the foliage and flowers of mature plants instead of directly into the dirt or growing medium the plants are growing in. An experienced indoor grower would know that this promotes mold, fungus, and rot and would not do it this way, and the healthy appearing plants indicate the officer is experienced.
(at around 1 min) Joe (the cop) is increasing his morphine to 16. When Foreman asks Cameron to increase his morphine, Cameron says he's already maxed out at 20.