A one-dimensional finite element method for simulation-based medical planning for cardiovascular disease

Area of Science:

• Computational fluid dynamics
• Cardiovascular disease modeling
• Medical simulation

Background:

• Simulation-Based Medical Planning (SBMP) aids cardiovascular disease treatment.
• Current SBMP methods use 3D finite element analysis, which is computationally intensive.
• Detailed blood flow analysis is often unnecessary for mean flow and pressure loss predictions.

Purpose of the Study:

• To develop a computationally efficient method for cardiovascular treatment planning.
• To reduce the computational cost of Simulation-Based Medical Planning.
• To enable faster prediction of blood flow and pressure for individual patient treatment plans.

Main Methods:

• Developed a space-time finite element method for one-dimensional blood flow equations.
• Applied the method to various vascular models, including patient-specific cases.
• Calculated flow rate and pressure using the new computational approach.

Main Results:

• Achieved accurate solutions for flow rate and pressure in diverse vascular models.
• Successfully applied the method to a case of aorto-iliac occlusive disease and a vascular bypass graft.
• Obtained all solutions in under 5 minutes on a personal computer.

Conclusions:

• The space-time finite element method offers a computationally efficient alternative for cardiovascular treatment planning.
• This method significantly reduces computation time compared to traditional 3D finite element methods.
• Enables rapid simulation for improved clinical decision-making in cardiovascular interventions.