A mathematical model that describes the relation of low-density lipoprotein and oxygen concentrations in a stenosed artery
- Title
- A mathematical model that describes the relation of low-density lipoprotein and oxygen concentrations in a stenosed artery
- Creator
- Shankar Narayan S.; Anuradha B.; Sunanda S.; Puneeth V.; Ijaz Khan M.; Abdullah A.; Guedri K.; Jameel M.
- Description
- The cellular activities of the endothelium layer between lumen and intima are significantly linked to the origin of the disease atherosclerosis. Three stages of atherosclerosis were investigated in this study (40%-mild, 50%-modest, and 60%-acute) concerning the coronary arterial segment. The essence of the hemodynamic factors like flow velocity, pressure, and wall shear stress has been investigated, as well as the interrelationships between them. At all degrees of stenosis, the biophysical relationship between convection-diffusion of low-density lipoproteins (LDL) and convection-diffusion of oxygen in the bloodstream is investigated. The Finite Element Methods (FEM) are used to solve the modeled partial differential equation systems. The method adopted is numerical in nature providing accurate graphical solutions to the framed systems. The physical effects of the deposition of LDL on the arterial wall, like a decrease in the diameter of the lumen, and toughening of the walls, are analyzed through the evaluation of the physical parameters. The study revealed that the deposition of LDL molecules in the post stenotic region leads to the depletion of oxygen in the region leading to the rapid dysfunctioning of the endothelial layer of the lumen-intima boundary. 2022 World Scientific Publishing Company.
- Source
- International Journal of Modern Physics B, Vol-36, No. 26
- Date
- 2022-01-01
- Publisher
- World Scientific
- Subject
- Endothelium; Finite element method; Hypoxia; Recirculation; Wall shear stress
- Coverage
- Shankar Narayan S., Department of Mathematics, Cmr Institute of Technology, Bangalore, 560 037, India, Department of Mathematics, Dayananda Sagar University, Bangalore, 560 114, India; Anuradha B., Department of Mathematics, Dayananda Sagar University, Bangalore, 560 114, India; Sunanda S., Department of Mathematics, Vellore Institute of Technology, Vellore, 632 014, India; Puneeth V., Department of Mathematics, Christ (Deemed to Be University), Bangalore, 560 029, India; Ijaz Khan M., Department of Mathematics and Statistics, Ripah International University I-14, Islamabad, 44000, Pakistan, Mathematical Modelling and Applied Computation Research Group (MMAC), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia; Abdullah A., Department of Mathematics, Taif University, Taif, 21944, Saudi Arabia; Guedri K., Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, Makkah, 21955, Saudi Arabia; Jameel M., Department of Civil Engineering, College of Engineering, King Khalid University, Asir, P.O. Box 960, Abha, 61421, Saudi Arabia
- Rights
- Restricted Access
- Relation
- ISSN: 2179792; CODEN: IJPBE
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Shankar Narayan S.; Anuradha B.; Sunanda S.; Puneeth V.; Ijaz Khan M.; Abdullah A.; Guedri K.; Jameel M., “A mathematical model that describes the relation of low-density lipoprotein and oxygen concentrations in a stenosed artery,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 26, 2025, https://archives.christuniversity.in/items/show/14873.