Dynamic analysis for blood flow in circle of willis

Na Shen, Qi Yuan, Zhen Chen, Changcong Cui, Yong Zhao

Research output: Contribution to journalArticlepeer-review


A two-dimensional model of the Circle of Willis (CoW) was employed to investigate many kinds of stenosis caused by different diseases. Using the steady state haemodynamic model with pressure boundary conditions for both inlets and outlets, as well as a non-slip rigid wall condition, the variations of blood flow rates at inlets and outlets in healthy CoWs and unhealthy ones with blocked communicating arteries, were calculated and analyzed. According to the results obtained, in the CoW, the compensative functionality of the anterior communicating arteries becomes effective only for that the degree of stenosis in L_LCA is more than 25%, and becomes weaker when Posterior Communicating Artery (PCoA) is missing. The anterior and the posterior parts of the CoW are relatively independent of each other, but the independence can only be destroyed when severe stenosis occurs at the main inlet arteries.

Original languageEnglish
Pages (from-to)51-54
Number of pages4
JournalYingyong Lixue Xuebao/Chinese Journal of Applied Mechanics
Issue number1
Publication statusPublished - Mar 1 2009


  • Cerebral blood steady flow
  • Circle of willis
  • Computational fluid dynamics
  • Stenosis

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering


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