Numerical and analytical assessment of the influence of blood flow through arterial perforators on the pulse pressure shape

Marcin Pieniak; Adam Piechna; Krzysztof Cieślicki

doi:10.1117/12.2205912

11 September 2015 Numerical and analytical assessment of the influence of blood flow through arterial perforators on the pulse pressure shape

Marcin Pieniak, Adam Piechna, Krzysztof Cieślicki

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Proceedings Volume 9662, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2015; 96621S (2015) https://doi.org/10.1117/12.2205912
Event: XXXVI Symposium on Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments (Wilga 2015), 2015, Wilga, Poland

Abstract

Most of the existing models of cardiovascular system do not take into account the leakage of blood through a number of small vessels branching the main arterial trunks and called perforators. Therefore, the aim of this study is to investigate their influence on the pulse pressure waveform. Linearized, 1D computer model of a minute part of the cardiovascular system has been designed and series of simulations with and without leakage have been conducted. Blood flow in a single segment of the arterial system and pressure in vascular nodes were described by the two first order partial differential equations. A set of boundary conditions on both ends of a single vascular segment and at nodal point have been formulated. To solve the linear set of above equations, a numerical method of characteristic has been used. It was shown that the leakage reduces reflection from the peripheral resistance. The simulations have also shown a decrease of the average pressure value with increase of leakage and modification of the pulse pressure waveform. All these effects depended strongly on the assumed leakage value and practically died out when its value was reduced to about 10% of the main flow.

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Marcin Pieniak, Adam Piechna, and Krzysztof Cieślicki "Numerical and analytical assessment of the influence of blood flow through arterial perforators on the pulse pressure shape", Proc. SPIE 9662, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2015, 96621S (11 September 2015); https://doi.org/10.1117/12.2205912

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KEYWORDS

Resistance

Arteries

Blood

Blood circulation

Cardiovascular system

3D modeling

Computer simulations

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