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Which diameter and angle rule provides optimal flow patterns in a coronary bifurcation?
Yunlong Huo1, Gérard Finet, Thierry Lefevre
1Department of Biomedical Engineering, IUPUI, Indianapolis, IN 46202, USA.
Insights
The HK diameter model, based on minimum energy, better predicts coronary artery bifurcations than Murray's model. This finding suggests optimal flow patterns (higher wall shear stress) that may impact percutaneous coronary intervention strategies.
Area of Science:
- Cardiovascular Science
- Biomedical Engineering
- Fluid Dynamics
Background:
- Epicardial coronary artery bifurcations are crucial in atherogenesis.
- Murray's cubed diameter law and bifurcation angles were traditionally assumed optimal for flow.
- A new HK diameter model based on minimum energy has been proposed.
Purpose of the Study:
- To derive a bifurcation angle rule for the HK diameter model.
- To compare streamline flow in HK and Murray-type bifurcations.
- To evaluate the implications for percutaneous coronary intervention.
Main Methods:
- Analysis of coronary casts to determine adherence to diameter models.
- Finite element modeling to simulate blood flow patterns.
- Measurement of inlet velocity and pressure using ComboWire.
Main Results:
- Coronary bifurcations more closely followed the HK diameter model and angle rule than Murray's model.
- Murray-type bifurcations showed decreased wall shear stress (WSS) and increased oscillatory shear index (OSI).
- HK-type bifurcations exhibited more optimal flow patterns with higher WSS and lower OSI.
Conclusions:
- The HK diameter model and its associated angle rule provide a more accurate representation of coronary artery bifurcations.
- HK-type bifurcations demonstrate superior flow dynamics compared to traditional Murray-type bifurcations.
- Findings have significant implications for optimizing bifurcation angles and diameters in percutaneous coronary interventions.
Abstract:
The branching angle and diameter ratio in epicardial coronary artery bifurcations are two important determinants of atherogenesis. Murray's cubed diameter law and bifurcation angle have been assumed to yield optimal flows through a bifurcation. In contrast, we have recently shown a 7/3 diameter law (HK diameter model), based on minimum energy hypothesis in an entire tree structure. Here, we derive a bifurcation angle rule corresponding to the HK diameter model and critically evaluate the streamline flow through HK and Murray-type bifurcations. The bifurcations from coronary casts were found to obey the HK diameter model and angle rule much more than Murray's model. A finite element model was used to investigate flow patterns for coronary artery bifurcations of various types. The inlet velocity and pressure boundary conditions were measured by ComboWire. Y-bifurcation of Murray type decreased wall shear stress-WSS (10%-40%) and created an increased oscillatory shear index-OSI in atherosclerosis-prone regions as compared with HK-type bifurcations. The HK-type bifurcations were found to have more optimal flow patterns (i.e., higher WSS and lower OSI) than Murray-type bifurcations which have been traditionally believed to be optimized. This study has implications for changes in bifurcation angles and diameters in percutaneous coronary intervention.
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