Abstract
A model of the human arterial system was constructed based on the anatomical branching structure of the arterial tree. Arteries were divided into segments represented by uniform thin-walled elastic tubes with realistic arterial dimensions and wall properties. The configuration contains 128 segments accounting for all the central vessels and major peripheral arteries supplying the extremities including vessels of the order of 2·0 mm diameter. Vascular impedance and pressure and flow waveforms were determined at various locations in the system and good agreement was found with experimental measurements. Use of the model is illustrated in investigating wave propagation in the arterial system and in simulation of arterial dynamics in such pathological conditions as arteriosclerosis and presence of a stenosis in the femoral artery.
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Abbreviations
- ϱ:
-
blood density
- co :
-
pulse wave velocity
- σ:
-
Poisson ratio for arterial wall
- F 10 :
-
the expression\(\frac{{2J_1 \left( {\alpha j^{{3 \mathord{\left/ {\vphantom {3 2}} \right. \kern-\nulldelimiterspace} 2}} } \right)}}{{\alpha j^{{3 \mathord{\left/ {\vphantom {3 2}} \right. \kern-\nulldelimiterspace} 2}} J_0 \left( {\alpha j^{{3 \mathord{\left/ {\vphantom {3 2}} \right. \kern-\nulldelimiterspace} 2}} } \right)}}\). whereJ 0 andJ 1 are Bessel functions of the first kind, and order zero and one, respectively, and\(\alpha = R_0 \sqrt {{{\omega \rho } \mathord{\left/ {\vphantom {{\omega \rho } \mu }} \right. \kern-\nulldelimiterspace} \mu }} \)
- λ:
-
propagation constant
- ω:
-
angular frequency
- E :
-
Young's modulus of arterial wall
- h :
-
wall thickness
- R 0 :
-
internal radius of arterial segment
- ηw :
-
viscoelasticity of the arterial wall
- Γ:
-
reflection coefficient
- μ:
-
blood viscosity
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Avolio, A.P. Multi-branched model of the human arterial system. Med. Biol. Eng. Comput. 18, 709–718 (1980). https://doi.org/10.1007/BF02441895
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DOI: https://doi.org/10.1007/BF02441895