'vein-related' is a compound formed from 'vein' + the adjective-forming element '-related' (from 'relate'). 'Vein' originates from Latin, specifically the word 'vena', where 'vena' meant 'vein' or 'blood-vessel'. 'Relate' comes from Latin 'relatus', past participle of 'referre', where 're-' meant 'back' and 'ferre' meant 'to carry'.

'vein' passed into English via Old French 'veine' and Middle English 'vein'; 'relate' came into English from Old French/Latin influence (Latin 'relatus' → Old French/Anglo-Norman forms → Middle English 'relaten'), and the compound form 'vein-related' is a modern English formation combining the noun and a participial adjective.

Initially, 'vein' primarily meant a blood vessel; over time it extended to mean a mineral seam in rock and, figuratively, a manner or style. The modern compound 'vein-related' now denotes something connected to a vein in either the anatomical, geological, or occasionally figurative sense.