Introduction: The Circle of Willis (CoW) is the most effective collateralcirculation to the brain during internal carotid artery (ICA) occlusion.Carotid stump pressure (CSP) is an established surrogate measure of thecerebral collateral circulation. This study aims to use hemodynamic andcomputed tomography angiography measurements to determine the strongestinfluences upon the dependent variable, CSP. These findings could helpclinicians noninvasively assess the adequacy of the collateral circulationand facilitate surgical risk assessment in an outpatient setting. Methods: CSP and mean arterial pressure were measured during carotidendarterectomy or during carotid balloon test occlusion in 92 patients.Intracranial arterial diameters were measured on computed tomographyangiography at 16 different locations. Univariate and multivariate analyseswere used to determine the key factors associated with CSP. In a subgroup ofindividuals (n=27) with severe (>70% North American Symptomatic CarotidEndarterectomy Trial) contralateral stenosis or occlusion, the same analysiswas performed. Results: The contralateral anterior cerebral artery proximal to anteriorcommunicating artery (A1) of the CoW had the strongest influence upon CSP,followed by the mean arterial pressure, the contralateral ICA diameter, andthe anterior communicating artery diameter (R2=0.364). In the subgroup with high-grade contralateral ICAstenosis, the ipsilateral posterior communicating artery exerted thestrongest influence (R2=0.620). Conclusions: During ICA occlusion, the anterior CoW dominates in preservingcollateral flow, especially the contralateral A1 segment. In individualswith high-grade contralateral carotid stenosis, the posterior communicatingartery calibre becomes a dominant influence. The most favourable anatomyconsists of large contralateral A1 and anterior communicating arteries, andno contralateral carotid stenosis.