bind vs tie up

bind is a noun but tie up is not a noun.

Word	Noun	Adjective	Verb	Adverb
bind	Yes	No	Yes	No
tie up	No	No	Yes	No

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

Other hyponyms of bind include gag, muzzle, retie, bind off, loop, cord, lash together, truss, leash, rope, strap, knot, lash, band, lace, lace up.

As verbs, bind and tie up are synonyms defined as:

Other synonyms of bind include tie down, truss.

bind (noun)	tie up (noun)
something that hinders as if with bonds

bind (verb)	tie up (verb)
cause to be constipated	secure with or as if with ropes
form a chemical bond with	finish the last row
bind by an obligation; cause to be indebted	restrain from moving or operating normally
make fast; tie or secure, with or as if with a rope	secure in or as if in a berth or dock
fasten or secure with a rope, string, or cord	invest so as to make unavailable for other purposes
provide with a binding
stick to firmly
secure with or as if with ropes
wrap around with something so as to cover or enclose
create social or emotional ties