A hemodynamic modelling of the blood circulation
| dc.contributor.author | Shrestha, Maha Laxmi | |
| dc.date.accessioned | 2017-03-13T21:34:49Z | |
| dc.date.available | 2017-03-13T21:34:49Z | |
| dc.date.issued | 2016-12 | |
| dc.description | A thesis Submitted in Partial Fulfillment of the Requirements for the Degree of MASTER of SCIENCE in MATHEMATICS from Texas A&M University-Corpus Christi in Corpus Christi, Texas. | en_US |
| dc.description.abstract | A mathematical model of the blood flow through an axisymmetric stenosis vessel was developed using the Navier-Stokes equations. A numerical approach has been used to analyze behavior of the blood flow because an analytical solution of such a problem is impossible. The method of finite elements was applied to find the velocity and the pressure of the blood flow in stenotic vessels of the cardio-vascular system. The solution of the Navier-Stokes equations was done using Matlab and COSMOL Multiphysics. The findings of the modeling demonstrated that velocity and wall shear stress significantly increase due to the stenosis in the part of the vessel that is blocking blood flow and that this increase depends on the size of the blockage. The modeling shows that increased velocity, vessel wall shear stress, and significant variations in blood pressure may lead to abnormality of the blood flow, which in turn may be a cause of the heart attacks or/and strokes. The analysis of this research has been compared with the existing results published in research papers. Future investigations of the effect of a more general boundary for a stenosis are planned. | en_US |
| dc.description.college | College of Science and Engineering | en_US |
| dc.description.department | Mathematics and Statistics | en_US |
| dc.identifier.uri | http://hdl.handle.net/1969.6/1132 | |
| dc.language.iso | en_US | en_US |
| dc.rights | This material is made available for use in research, teaching, and private study, pursuant to U.S. Copyright law. The user assumes full responsibility for any use of the materials, including but not limited to, infringement of copyright and publication rights of reproduced materials. Any materials used should be fully credited with its source. All rights are reserved and retained regardless of current or future development or laws that may apply to fair use standards. Permission for publication of this material, in part or in full, must be secured with the author and/or publisher. | en_US |
| dc.subject | mathematics | en_US |
| dc.title | A hemodynamic modelling of the blood circulation | en_US |
| dc.type | Text | en_US |
| dc.type.genre | Thesis | en_US |
| thesis.degree.discipline | Mathematics | en_US |
| thesis.degree.grantor | Texas A & M University--Corpus Christi | en_US |
| thesis.degree.level | Masters | en_US |
| thesis.degree.name | Master of Science | en_US |