call up vs bring up

call up is a noun but bring up is not a noun.

Word	Noun	Adjective	Verb	Adverb
call up	Yes	No	Yes	No
bring up	No	No	Yes	No

As verbs, bring up is a hyponym of call up; that is, bring up is a word with a more specific, narrower meaning than call up:

call up: cause to become available for use, either literally or figuratively
bring up: summon into action or bring into existence, often as if by magic

Other hyponyms of call up include arouse, call down, call forth, conjure, conjure up, evoke, invoke, put forward, raise, stir.

call up (noun)	bring up (noun)
an order to report for military duty

call up (verb)	bring up (verb)
recall knowledge from memory; have a recollection	cause to load (an operating system) and start the initial processes
get or try to get into communication (with someone) by telephone	make reference to
bring forward for consideration	put forward for consideration or discussion
call to arms; of military personnel	summon into action or bring into existence, often as if by magic
cause to become available for use, either literally or figuratively	raise from a lower to a higher position
	cause to come to a sudden stop
	look after a child until it is an adult
	promote from a lower position or rank