Mathematical modeling in assessing the risk of restenosis after carotid endarterectomy

V G Borisov1,2, Yu N Zakharov2, R A Vinogradov3,4

  • 1Kemerovo State University, 650000, Kemerovo, Russia.

Insights

Carotid endarterectomy impacts cerebral circulation, with hemodynamic indices indicating atherosclerosis risk. This study compares carotid bifurcation models, revealing that post-surgery models show worse overall indices but improved near-bifurcation results.

Area of Science:

  • Biomedical Engineering
  • Cardiovascular Research
  • Computational Fluid Dynamics

Background:

  • Carotid endarterectomy is a primary treatment for carotid artery atherosclerosis affecting cerebral blood flow.
  • Hemodynamic indices, particularly near-wall shear stress, are key markers for atherogenesis risk.
  • Understanding carotid bifurcation hemodynamics is crucial for managing cerebrovascular disease.

Purpose of the Study:

  • To comparatively analyze hemodynamic indices in diverse carotid bifurcation models.
  • To investigate the impact of virtual geometric modifications on optimizing hemodynamic indices.
  • To evaluate the effectiveness of virtual surgery in improving vascular hemodynamics.

Main Methods:

  • Construction of carotid bifurcation models from computed angiography data.
  • Utilizing computational fluid dynamics (CFD) to identify critical hemodynamic zones.
  • Comparative analysis of hemodynamic indices across different model types, including 'normal,' post-operative, and virtually altered models.

Main Results:

  • Post-operative models exhibited over five times worse averaged indices in critical zones compared to normal models.
  • Near-bifurcation regions in post-operative models showed a 25% improvement in indices.
  • Virtual removal of minor plaques led to up to 40% index deterioration at former plaque sites.

Conclusions:

  • The study presents a method for identifying and comparing critical hemodynamic zones in various vascular models.
  • A novel virtual surgery technique allows for shape modification to optimize hemodynamics.
  • Comparative analysis of real and virtual models, with sub-zone analysis of post-operative critical zones, offers new insights into vascular interventions.