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Analysis of pig's coronary arterial blood flow with detailed anatomical data
G S Kassab1, J Berkley, Y C Fung
1Department of Bioengineering, University of California-San Diego, La Jolla 92093-0412, USA.
Insights
Coronary arterial tree anatomy significantly impacts heart blood flow distribution. Mathematical modeling reveals that asymmetric branching patterns, reflecting real anatomy, create distinct blood pressure and flow variations compared to symmetric models.
Area of Science:
- Cardiovascular Physiology
- Biomedical Engineering
- Anatomical Modeling
Background:
- Heart muscle perfusion relies on coronary arterial tree blood distribution.
- Nonuniform vascular geometry in the coronary arterial tree leads to unequal capillary blood flow.
- Understanding this perfusion nonuniformity is crucial for cardiac physiology.
Purpose of the Study:
- To statistically determine blood pressure, flow, and volume distribution in the coronary arterial tree.
- To analyze the impact of anatomical branching patterns on hemodynamic parameters.
- To compare hemodynamic outcomes between asymmetric (anatomically accurate) and symmetric models.
Main Methods:
- Utilized a comprehensive dataset on coronary arterial tree branching patterns and vascular geometry.
- Developed hemodynamic equations for all vessels and nodes within circuit models.
- Solved hemodynamic equations numerically for both asymmetric and symmetric models.
Main Results:
- Both models showed similar mean longitudinal pressure drop profiles across vessel orders.
- The asymmetric model, reflecting actual anatomy, demonstrated unique dispersion profiles for blood pressure and flow.
- Spatial flow field nonuniformity was quantified using dispersions (SD/mean) as a function of vessel order.
Conclusions:
- Anatomical asymmetry in the coronary arterial tree significantly influences blood pressure and flow distribution.
- Mathematical modeling of coronary anatomy and hemodynamics provides accurate insights into cardiac perfusion.
- The study highlights the importance of detailed anatomical data for realistic hemodynamic simulations.
Abstract:
Blood flow to perfuse the muscle cells of the heart is distributed by the capillary blood vessels via the coronary arterial tree. Because the branching pattern and vascular geometry of the coronary vessels in the ventricles and atria are nonuniform, the flow in all of the coronary capillary blood vessels is not the same. This nonuniformity of perfusion has obvious physiological meaning, and must depend on the anatomy and branching pattern of the arterial tree. In this study, the statistical distribution of blood pressure, blood flow, and blood volume in all branches of the coronary arterial tree is determined based on the anatomical branching pattern of the coronary arterial tree and the statistical data on the lengths and diameters of the blood vessels. Spatial nonuniformity of the flow field is represented by dispersions of various quantities (SD/mean) that are determined as functions of the order numbers of the blood vessels. In the determination, we used a new, complete set of statistical data on the branching pattern and vascular geometry of the coronary arterial trees. We wrote hemodynamic equations for flow in every vessel and every node of a circuit, and solved them numerically. The results of two circuits are compared: one asymmetric model satisfies all anatomical data (including the mean connectivity matrix) and the other, a symmetric model, satisfies all mean anatomical data except the connectivity matrix. It was found that the mean longitudinal pressure drop profile as functions of the vessel order numbers are similar in both models, but the asymmetric model yields interesting dispersion profiles of blood pressure and blood flow. Mathematical modeling of the anatomy and hemodynamics is illustrated with discussions on its accuracy.