What exactly are cox-1 and cox-2 inhibitors?

Different. Cox-1 (cyclooxygenase-1) is an enzyme that regulates prostaglandins, and is important for a healthy stomach lining and kidneys. Inhibition turns this off, leading to gastrointestinal bleeding. Cox-2 (cyclooxygenase-2) is an enzyme that makes the prostaglandins which increase inflammation, pain and fever. So a cox-2 inhibitor is, in effect, a pain blocker.
Anti-inflammatory dr. These are drugs that act on two types of enzymes; one which is associated with inflammatory arthritis (cox-2) and one which is important to protecting stomach from ulcers.