Study protocol of validating a numerical model to assess the blood flow in the circle of Willis

Yuanyuan Shen*, Yanji Wei, Reinoud P H Bokkers, Maarten Uyttenboogaart, J Marc C van Dijk

*Corresponding author for this work

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Introduction We developed a zero-dimensional (0D) model to assess the patient-specific haemodynamics in the circle of Willis (CoW). Similar numerical models for simulating the cerebral blood flow (CBF) had only been validated qualitatively in healthy volunteers by magnetic resonance (MR) angiography and transcranial Doppler (TCD). This study aims to validate whether a numerical model can simulate patient-specific blood flow in the CoW under pathological conditions.

Methods and analysis This study is a diagnostic accuracy study. We aim to collect data from a previously performed prospective study that involved patients with aneurysmal subarachnoid haemorrhage (aSAH) receiving both TCD and brain Computerd Tomography angiography (CTA) at the same day. The cerebral flow velocities are calculated by the 0D model, based on the vessel diameters measured on the CTA of each patient. In this study, TCD is considered the gold standard for measuring flow velocity in the CoW. The agreement will be analysed using Pearson correlation coefficients.

Ethics and dissemination This study protocol has been approved by the Medical Ethics Review Board of the University Medical Center Groningen: METc2019/103. The results will be submitted to an international scientific journal for peer-reviewed publication.

Trial registration number NL8114.

Original languageEnglish
Article number036404
Number of pages6
JournalBMJ Open
Issue number6
Publication statusPublished - 4-Jun-2020


  • stroke
  • neurosurgery
  • neuroradiology

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