'antiperistaltic' originates from Greek (via New Latin/Modern formation), specifically the element 'peristaltikos', where 'peri-' meant 'around' and the root related to 'staltikos' (from the verb 'stallein') concerned contracting or sending around; the prefix 'anti-' meant 'against'.

'peristaltikos' (Greek) passed into Late Latin/Scientific Latin as 'peristalticus' and into English as 'peristaltic'; combining the prefix 'anti-' with 'peristaltic' produced the adjective 'antiperistaltic', from which the adverb 'antiperistatically' was formed.

Initially related to 'peristaltic' (pertaining to peristalsis, the wave-like muscular contractions), the addition of 'anti-' gave the specific sense 'opposite to or against peristalsis', which is the modern technical meaning.