Analysis of pig’s coronary arterial blood flow with detailed anatomical data |
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Authors: | Ghassan S Kassab Jeff Berkley Yuan-Cheng B Fung |
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Institution: | (1) Department of Bioengineering, University of California-San Diego, 9500 Gilman Drive, 92093-0412 La Jolla, CA, USA |
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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: oneasymmetric model satisfies all anatomical data (including the meanconnectivity matrix) and the other, asymmetric 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. |
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Keywords: | Heart Connectivity matrix Hemodynamic matrix Hemodynamics Dispersion profile Fractal dimension |
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