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Influence of curvature dynamics on pulsatile coronary artery flow in a realistic bifurcation model
Martin Prosi1, Karl Perktold, Zhaohua Ding
1Institute of Mathematics, Graz University of Technology, Steyrergasse 30/3, Graz A-8010, Austria.
Insights
Dynamic changes in coronary artery curvature significantly impact blood flow (hemodynamics). This study reveals that while vessel branching primarily dictates flow patterns, dynamic curvature, especially during systole, also influences wall shear stress and flow dynamics.
Area of Science:
- Cardiovascular Science
- Biomedical Engineering
- Computational Fluid Dynamics
Background:
- Coronary arteries experience significant dynamic shape changes with each heartbeat.
- Local artery curvature varies considerably throughout the cardiac cycle.
- Understanding these variations is crucial for accurate hemodynamic analysis.
Purpose of the Study:
- To numerically analyze the influence of dynamic curvature on coronary artery hemodynamics.
- To investigate the interplay between vessel geometry and blood flow.
- To assess the impact of time-varying curvature on flow patterns and wall shear stress.
Main Methods:
- A realistic model of the left anterior descending coronary artery bifurcation was created.
- The model incorporated time-varying curvature based on experimental data.
- Blood flow was simulated using time-dependent Navier-Stokes equations with the Arbitrary Lagrangian-Eulerian technique.
Main Results:
- Vessel branching predominantly influences axial velocity profiles near the bifurcation.
- The effect of dynamic curvature on hemodynamics is generally secondary to branching effects.
- Curvature's influence increases downstream of the branch and is most pronounced during systole.
Conclusions:
- Physiologically realistic flow, phased correctly with vessel motion, is essential for accurate coronary artery hemodynamic simulations.
- Dynamic curvature plays a role, particularly during peak systolic motion, affecting flow patterns and wall shear stress.
- The study highlights the importance of considering the dynamic nature of coronary arteries in computational models.
Abstract:
The coronary arteries undergo large dynamic variations during each cardiac cycle due to their position on the beating heart. The local artery curvature varies significantly. In this study the influence of dynamic curvature on coronary artery hemodynamics is analyzed numerically. A realistic model of the bifurcation of the left anterior descending coronary artery and its first diagonal branch is curved by attaching it to the surface of a sphere with time-varying radius based on experimental dynamic curvature data. The description of the blood flow uses the time-dependent, three-dimensional, incompressible Navier-Stokes equations for Newtonian fluids, where the influence of the time-dependent flow domain is taken into account employing the Arbitrary Lagrangian-Eulerian technique. The inlet velocity profiles used in the computer simulation are physiologically realistic. The results show that the skewing of the axial velocity profiles near the branching site is mainly determined by the vessel branch; the bifurcating flow generally dominates the effect of curvature. The influence of curvature increases downstream of the branch. During systole, when curvature is greatest and high curvature variations appear, their effect on the flow patterns and the wall shear stress is dominated by the flow wave. Due to the smaller curvature changes during diastole, only minor effects of curvature variation on the high and relatively constant diastolic flow occur. The results demonstrate the importance of including physiologically realistic flow in the correct phase relationship with vessel motion when simulating coronary artery hemodynamics.
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