A systematic comparison between 1-D and 3-D hemodynamics in compliant arterial models

Area of Science:

• Biomedical Engineering
• Computational Fluid Dynamics
• Cardiovascular Physiology

Background:

• Accurate computational hemodynamics modeling is crucial for understanding arterial diseases.
• Comparing one-dimensional (1-D) and three-dimensional (3-D) models with deformable vessel walls is essential for validating simulation accuracy.
• Existing models often lack efficient methods for parameter selection, particularly for subject-specific applications.

Purpose of the Study:

• To systematically compare one-dimensional (1-D) and three-dimensional (3-D) computational hemodynamics formulations in arteries with deformable vessel walls.
• To introduce an iterative algorithm for selecting outflow boundary condition parameters using 1-D theory.
• To establish a 1-D/3-D framework for efficiently determining parameters for 3-D subject-specific arterial models.

Main Methods:

• Simulations were conducted using idealized compliant arterial models (common carotid artery, thoracic aorta, aortic bifurcation, full aorta).
• Identical inflow and outflow boundary conditions and compatible material laws were used for both 1-D and 3-D formulations.
• An iterative algorithm was developed to determine outflow boundary parameters based on desired pressure values.

Main Results:

• The 1-D and 3-D computational hemodynamics models demonstrated good agreement in their predictions.
• Agreement was particularly notable during the diastolic phase of the cardiac cycle.
• The proposed iterative algorithm facilitates efficient parameter selection for boundary conditions.

Conclusions:

• The 1-D/3-D framework provides an efficient method for determining material and boundary condition parameters for 3-D subject-specific arterial models with deformable walls.
• The validated framework supports accurate computational hemodynamics simulations in arteries.
• This approach aids in the development of more precise patient-specific cardiovascular models.