Enhanced　external　counterpulsation　(EECP)　treatment　for　cerebral　ischemic　stroke　patients　with　differing　severity　of　stenosis,　is　subject　to　uncertainties　due　to　the　varying　effects　of　the　cerebral　autoregulation　mechanism　on　haemodynamics.　The　current　study　reports　the　development　of　a　cerebral　multi-autoregulation　(MR)　mathematical　model,　based　on　cerebral　arteriole　regulation　of　neurogenic,　vascular　smooth　muscle　reflex　and　shear　stress　mechanisms　which　takes　into　account　the　severity　of　stenosis.　The　model　was　evaluated　by　comparison　to　authentic　clinical　measurements　of　cerebral　autoregulatory　efficiency.　Then　it　was　applied　to　a　0D/3D　geometric　multi-scale　haemodynamic　model　of　a　cerebral　artery.　Haemodynamic　indicators　were　calculated　under　different　pressurization　durations　of　EECP　to　evaluate　the　efficacy　for　different　stenosis　lesions.　Moderate　stenosis　of　50%　to　60%　produced　excessive　time-averaged　wall　shear　stress　in　the　distal　area　of　the　stenosis　(＞7　Pa)　during　prolonged　pressurization　and　may　result　in　damage　to　vascular　endothelial　cells.　However,　prolonged　pressurization　did　not　result　in　haemodynamic　risk　for　severe　stenosis　of　70%　to　80%,　indicating　that　the　duration　of　pressurization　may　be　extended　with　increasing　severity　of　stenosis.　The　current　MR　model　accurately　simulated　cerebral　blood　flow　and　has　relevance　to　the　simulation　of　cerebral　haemodynamics　in　a　clinical　setting.　©　The　Author(s)　2023.