### Abstract

We used angiography to evaluate the branching characteristics of 69 morphologically normal human arterial bifurcations. Each angiographic picture was enlarged photographically and traced on paper. The diameter of the parent vessel (d_{0}), the diameters of the two daughter vessels (d_{1} and d_{2} - d_{1} denote the larger vessel), and the angles at which the two branches arise from the parent vessel (teta_{1} and teta_{2}) were measured on each bifurcation. Because theoretically there are optimal values for angles and diameters that render an arterial bifurcation more efficient physiologically, the measured data were compared with predicted values. Branch diameters correlated better with predicted values than did branching angles. Twenty-six per cent of tetai and only 7.2% of teta2 angles were within the optimal range; 68.2% of tetai and 79.7% of testa2 were within 2% of optimal values in terms of physiologic efficiency. On the average, tetai angles were smaller than tetai angles(17.0° vs. 29.5°). Morphologic and hemodynamic peculari- ties of vessels and errors in the measuring technique must be considered in analyzing the data obtained. Moreover, branching angle measurements changed slightly with age: tetai became larger and tetai narrower. In the cardiovascular system branching angles and branch diameters follow, to some degree, the principles predicted by theory. Branching angles diverging considerably from those principles may indicate the presence of vascular disease although a direct connection has not been established.

Original language | English |
---|---|

Pages (from-to) | 713-718 |

Number of pages | 6 |

Journal | Investigative Radiology |

Volume | 23 |

Issue number | 10 |

Publication status | Published - 1988 |

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### Keywords

- Angiography
- Atherosclerosis
- Vascular geometry

### ASJC Scopus subject areas

- Radiology Nuclear Medicine and imaging
- Radiological and Ultrasound Technology

### Cite this

*Investigative Radiology*,

*23*(10), 713-718.

**The vascular geometry of human arterial bifurcations.** / Fanucci, Ezio; Orlacchio, Antonio; Pocek, Marco.

Research output: Contribution to journal › Article

*Investigative Radiology*, vol. 23, no. 10, pp. 713-718.

}

TY - JOUR

T1 - The vascular geometry of human arterial bifurcations

AU - Fanucci, Ezio

AU - Orlacchio, Antonio

AU - Pocek, Marco

PY - 1988

Y1 - 1988

N2 - We used angiography to evaluate the branching characteristics of 69 morphologically normal human arterial bifurcations. Each angiographic picture was enlarged photographically and traced on paper. The diameter of the parent vessel (d0), the diameters of the two daughter vessels (d1 and d2 - d1 denote the larger vessel), and the angles at which the two branches arise from the parent vessel (teta1 and teta2) were measured on each bifurcation. Because theoretically there are optimal values for angles and diameters that render an arterial bifurcation more efficient physiologically, the measured data were compared with predicted values. Branch diameters correlated better with predicted values than did branching angles. Twenty-six per cent of tetai and only 7.2% of teta2 angles were within the optimal range; 68.2% of tetai and 79.7% of testa2 were within 2% of optimal values in terms of physiologic efficiency. On the average, tetai angles were smaller than tetai angles(17.0° vs. 29.5°). Morphologic and hemodynamic peculari- ties of vessels and errors in the measuring technique must be considered in analyzing the data obtained. Moreover, branching angle measurements changed slightly with age: tetai became larger and tetai narrower. In the cardiovascular system branching angles and branch diameters follow, to some degree, the principles predicted by theory. Branching angles diverging considerably from those principles may indicate the presence of vascular disease although a direct connection has not been established.

AB - We used angiography to evaluate the branching characteristics of 69 morphologically normal human arterial bifurcations. Each angiographic picture was enlarged photographically and traced on paper. The diameter of the parent vessel (d0), the diameters of the two daughter vessels (d1 and d2 - d1 denote the larger vessel), and the angles at which the two branches arise from the parent vessel (teta1 and teta2) were measured on each bifurcation. Because theoretically there are optimal values for angles and diameters that render an arterial bifurcation more efficient physiologically, the measured data were compared with predicted values. Branch diameters correlated better with predicted values than did branching angles. Twenty-six per cent of tetai and only 7.2% of teta2 angles were within the optimal range; 68.2% of tetai and 79.7% of testa2 were within 2% of optimal values in terms of physiologic efficiency. On the average, tetai angles were smaller than tetai angles(17.0° vs. 29.5°). Morphologic and hemodynamic peculari- ties of vessels and errors in the measuring technique must be considered in analyzing the data obtained. Moreover, branching angle measurements changed slightly with age: tetai became larger and tetai narrower. In the cardiovascular system branching angles and branch diameters follow, to some degree, the principles predicted by theory. Branching angles diverging considerably from those principles may indicate the presence of vascular disease although a direct connection has not been established.

KW - Angiography

KW - Atherosclerosis

KW - Vascular geometry

UR - http://www.scopus.com/inward/record.url?scp=0023717246&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023717246&partnerID=8YFLogxK

M3 - Article

C2 - 3192393

AN - SCOPUS:0023717246

VL - 23

SP - 713

EP - 718

JO - Investigative Radiology

JF - Investigative Radiology

SN - 0020-9996

IS - 10

ER -