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| Title | Analysis of Axial Blood Flow Velocity and Effects of Torsion and Geometric Factors in the Intramyocardial Coronary Arterial Flow by Helical Tube ModelFTheoretical Study |
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| Subtitle | |
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| Authors | Hirohumi Hirayama, Yuzo Fukuyama |
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| Authors(kana) | |
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| Organization | Department of Public Health, Asahikawa Medical College |
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| Journal | Circulation Control |
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| Volume | 17 |
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| Number | 4 |
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| Page | 535-542 |
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| Year/Month | 1996/ |
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| Article | Original article |
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| Publisher | Japan Society of Circulation Control |
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| Abstract | uAbstractvA theoretical investigation was intended to disclose the distributions of the axial blood flow velocity, its spatial rates of changes, the effects of geometric factor and the torsion of intra myocardial coronary arterial system which constitution is characterized by a helical tube model. Mathematical method was based on the modified orthogonal coordinate system. The modified Navier-Stokes equations were solved analytically by power series expansion of the Dean number. The distribution axial flow velocity skewed laterally. The rate of change of axial velocity W in radial direction on the inner wall surface dW/dr (r=1) increased in the upper hemisphere and decreased in the lower hemisphere. The rate of change in the W at circumferential direction on the inner wall surface dW/dÆ (r=1) decreased in the lateral hemisphere and increased in the inner hemisphere. The absolutes of the dW/dr (r=1) and dW/dÆ (r=1) increased in larger radius, elevated in the extended state and were larger in 4 times coiling than 2 times coiling. |
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| Practice | Basic medicine |
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| Keywords | Intramyocardial coronary artery, Blood flow velocity, Helical tube, Shear stress. |
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