Hemodynamic Solution Computation and Pathological Analysis in the Circle of Willis

Area of Science:

• Biomedical Engineering
• Fluid Dynamics
• Neuroscience

Background:

• Hemodynamic indexes deviate significantly in vascular diseases, necessitating robust computational models.
• Blood circulation functions as a complex, periodically driven fluid network powered by the heart.

Purpose of the Study:

• To develop a simplified hemodynamic computational model of the circle of Willis.
• To apply network and hemodynamic principles to understand cerebral circulation.
• To investigate the development of cerebral vascular diseases.

Main Methods:

• Simplified the circle of Willis structure using network and hemodynamic perspectives.
• Modeled the blood flow network with hemodynamic equations and circuit graph theory.
• Obtained approximate solutions for harmonic waveforms via averaging computation.

Main Results:

• The developed model simulates blood flow within the circle of Willis network.
• Simulation results align with clinical observations of blood flow changes in cerebral infarction.
• The model provides insights into the development of cerebrovascular diseases.

Conclusions:

• The hemodynamic model of the circle of Willis is a viable tool for studying cerebral circulation.
• This approach can help explain the pathogenesis of cerebrovascular diseases.
• The model's consistency with clinical data validates its utility in understanding blood flow dynamics.