Mathematical Modeling of the Arterial Blood Flow
Blood flow is a study of measuring the blood pressure and finding the flow through the blood vessel. Blood flow problem has been studied for centuries where one of the motivations was to understand the conditions that contribute to high blood pressure. This occurs when the blood vessel became narro...
| Main Authors: | , |
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| Format: | Proceeding |
| Language: | English |
| Published: |
2006
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| Subjects: | |
| Online Access: | http://ir.unimas.my/id/eprint/8490/ http://ir.unimas.my/id/eprint/8490/1/Mathematical%20Modeling%20of%20the%20Arterial%20Blood%20Flow%20%28abstract%29.pdf |
| _version_ | 1848836389132566528 |
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| author | Jane, Labadin A., Ahmadi |
| author_facet | Jane, Labadin A., Ahmadi |
| author_sort | Jane, Labadin |
| building | UNIMAS Institutional Repository |
| collection | Online Access |
| description | Blood flow is a study of measuring the blood pressure and finding the flow through the blood vessel. Blood flow problem has been studied for centuries where one of the motivations was to understand the conditions that contribute to high
blood pressure. This occurs when the blood vessel became narrowed from its normal size. This paper presents a mathematical modeling of the arterial blood flow which
was derived from the Navier-Stokes equations and some assumptions. A system of nonlinear partial differential equations for blood flow and the cross-sectional area of
the artery was obtained. Finite difference method was adopted to solve the equations numerically. The result obtained is very sensitive to the values of the initial conditions and this helps to explain the condition of hypertension. |
| first_indexed | 2025-11-15T06:22:59Z |
| format | Proceeding |
| id | unimas-8490 |
| institution | Universiti Malaysia Sarawak |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T06:22:59Z |
| publishDate | 2006 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | unimas-84902015-08-05T04:45:52Z http://ir.unimas.my/id/eprint/8490/ Mathematical Modeling of the Arterial Blood Flow Jane, Labadin A., Ahmadi T Technology (General) Blood flow is a study of measuring the blood pressure and finding the flow through the blood vessel. Blood flow problem has been studied for centuries where one of the motivations was to understand the conditions that contribute to high blood pressure. This occurs when the blood vessel became narrowed from its normal size. This paper presents a mathematical modeling of the arterial blood flow which was derived from the Navier-Stokes equations and some assumptions. A system of nonlinear partial differential equations for blood flow and the cross-sectional area of the artery was obtained. Finite difference method was adopted to solve the equations numerically. The result obtained is very sensitive to the values of the initial conditions and this helps to explain the condition of hypertension. 2006 Proceeding NonPeerReviewed text en http://ir.unimas.my/id/eprint/8490/1/Mathematical%20Modeling%20of%20the%20Arterial%20Blood%20Flow%20%28abstract%29.pdf Jane, Labadin and A., Ahmadi (2006) Mathematical Modeling of the Arterial Blood Flow. In: Proceedings of the 2nd IMT-GT Regional Conference on Mathematics, Statistics and Applications, June 13-15 2006, USM Penang. http://www.researchgate.net/publication/237450132_Mathematical_Modeling_of_the_Arterial_Blood_Flow |
| spellingShingle | T Technology (General) Jane, Labadin A., Ahmadi Mathematical Modeling of the Arterial Blood Flow |
| title | Mathematical Modeling of the Arterial Blood Flow |
| title_full | Mathematical Modeling of the Arterial Blood Flow |
| title_fullStr | Mathematical Modeling of the Arterial Blood Flow |
| title_full_unstemmed | Mathematical Modeling of the Arterial Blood Flow |
| title_short | Mathematical Modeling of the Arterial Blood Flow |
| title_sort | mathematical modeling of the arterial blood flow |
| topic | T Technology (General) |
| url | http://ir.unimas.my/id/eprint/8490/ http://ir.unimas.my/id/eprint/8490/ http://ir.unimas.my/id/eprint/8490/1/Mathematical%20Modeling%20of%20the%20Arterial%20Blood%20Flow%20%28abstract%29.pdf |