Non-linear analytic model for pulsatile blood flow in the arterial system

Area of Science:

• Biomedical Engineering
• Computational Fluid Dynamics
• Cardiovascular Physiology

Background:

• Accurate hemodynamic models are crucial for understanding arterial diseases.
• Existing models may not fully capture the complexities of pulsatile blood flow.
• Predicting blood flow dynamics is essential for diagnosing and treating vascular conditions.

Purpose of the Study:

• To develop and validate a novel one-dimensional nonlinear analytical model (NLAM) for simulating blood flow in the arterial tree.
• To provide a robust theoretical framework for analyzing hemodynamics and identifying pathological changes.
• To refine existing modeling approaches for better clinical application.

Main Methods:

• Developed a one-dimensional nonlinear analytical model (NLAM).
• Decomposed pulsatile flow to address nonlinear terms in governing equations.
• Derived an analytical solution for a single artery and extended it to the entire arterial system via vessel coupling.
• Validated the model against established hemodynamic principles.

Main Results:

• The NLAM effectively simulates basic pulsatile blood flow dynamics.
• The model accurately identifies potential locations and severity of pathological changes within the arterial system.
• Validation confirms the model's predictive capabilities for arterial hemodynamics.

Conclusions:

• The presented NLAM offers a significant advancement in simulating arterial blood flow.
• This model provides a valuable theoretical basis for clinical diagnosis and treatment strategies for arterial diseases.
• The study refines previous modeling approaches, enhancing our understanding of cardiovascular hemodynamics.