'angiogenesis-promoting' originates from Modern English compounding of 'angiogenesis' (from Greek elements) and 'promoting' (from Latin 'promovere'), where 'angeion' meant 'vessel', 'genesis' meant 'origin/creation', 'pro-' meant 'forward', and 'movere' meant 'to move'.

'angiogenesis' was coined in biomedical English in the 20th century by combining Greek roots 'angeion' + 'genesis'; 'promote' comes via Old French 'promouvoir' from Latin 'promovere', and the compound 'angiogenesis-promoting' is a descriptive modern formation combining the noun and present-participial verb form.

Initially the components referred to 'vessel-origin' (angiogenesis) and 'to move forward/encourage' (promote); combined, the compound has kept the literal sense and now specifically means 'encouraging formation of new blood vessels' in biomedical contexts.