Cox vs cyclooxygenase-1

Cox and cyclooxygenase-1 both are nouns.

Word	Noun	Adjective	Verb	Adverb
Cox	Yes	No	No	No
cyclooxygenase-1	Yes	No	No	No

As nouns, cyclooxygenase-1 is a hyponym of Cox; that is, cyclooxygenase-1 is a word with a more specific, narrower meaning than Cox:

Cox: either of two related enzymes that control the production of prostaglandins and are blocked by aspirin
cyclooxygenase-1: an enzyme that regulates prostaglandins that are important for the health of the stomach lining and kidneys

Other hyponyms of Cox include Cox-1, Cox-2, cyclooxygenase-2.

Cox (noun)	cyclooxygenase-1 (noun)
either of two related enzymes that control the production of prostaglandins and are blocked by aspirin	an enzyme that regulates prostaglandins that are important for the health of the stomach lining and kidneys