Title: Brinkman-Forchheimr model for fat accumulation in arterial wall

Authors: Md Abdur Rahman; Mohammadali Ahmadipour; M. Ziad Saghir

Addresses: Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, ON, Canada ' Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, ON, Canada ' Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, ON, Canada

Abstract: A new model based on Brinkman-Forchheimr equation on transport of low-density lipoprotein (LDL) in artery wall has been developed that includes the multi-layered model. Artery wall has been considered as homogeneous porous media, Staverman filtration and osmotic reflection coefficient has been considered. The realistic physical properties are available and have been obtained from the literature. Various models have been compared with the proposed model. The results are consistent with the other numerical and experimental studies. Effects of hypertension and pulsatile flow on LDL transport in arterial multi-layered wall have been studied in detail. Effect of pulsatile flow is imperative since blood flow in artery is a pulsatile flow. Hyperthermia is important for the treatment of cancer. Soret effect on LDL concentration distribution has been analysed for the hyperthermia condition. This model will help to better understand the effect of hypertension and hyperthermia on atherosclerotic diseases. Results reveal that LDL accumulation is directly related to the transmural pressure. For the straight artery, effect of hyperthermia is negligible for LDL accumulation due to the very thin arterial wall. Effect of pulsatile flow in LDL transport has been found negligible.

Keywords: porous media; Brinkman; arterial wall; low-density lipoprotein; LDL; Soret effect.

DOI: 10.1504/IJAD.2018.094157

International Journal of Aerodynamics, 2018 Vol.6 No.2/3/4, pp.108 - 124

Received: 25 Apr 2017
Accepted: 24 Oct 2017
Published online: 20 Aug 2018 *

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