A MATHEMATICAL MODEL OF AN ARTERIAL BIFURCATION
An asymptotic model of an arterial bifurcation is presented. We propose a simple approximate method of calculation of the pressure drop matrix. The entries of this matrix are included in the modified transmission conditions, which were introduced earlier by Kozlov and Nazarov, and which give better...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2019-07-01
|
| Series: | Ural Mathematical Journal |
| Subjects: | |
| Online Access: | https://umjuran.ru/index.php/umj/article/view/157 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849253887924502528 |
|---|---|
| author | German L. Zavorokhin |
| author_facet | German L. Zavorokhin |
| author_sort | German L. Zavorokhin |
| collection | DOAJ |
| description | An asymptotic model of an arterial bifurcation is presented. We propose a simple approximate method of calculation of the pressure drop matrix. The entries of this matrix are included in the modified transmission conditions, which were introduced earlier by Kozlov and Nazarov, and which give better approximation of 3D flow by 1D flow near a bifurcation of an artery as compared to the classical Kirchhoff conditions. The present modeling takes into account the heuristic Murrey cubic law. |
| format | Article |
| id | doaj-art-669559fcbf6e47d48c758f8602fb6d69 |
| institution | Kabale University |
| issn | 2414-3952 |
| language | English |
| publishDate | 2019-07-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-669559fcbf6e47d48c758f8602fb6d692025-08-20T03:56:12ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522019-07-015110.15826/umj.2019.1.01179A MATHEMATICAL MODEL OF AN ARTERIAL BIFURCATIONGerman L. Zavorokhin0St. Petersburg Department of the Steklov Mathematical Institute, Russian Academy of Sciences 27, Fontanka, St.Petersburg, 191023An asymptotic model of an arterial bifurcation is presented. We propose a simple approximate method of calculation of the pressure drop matrix. The entries of this matrix are included in the modified transmission conditions, which were introduced earlier by Kozlov and Nazarov, and which give better approximation of 3D flow by 1D flow near a bifurcation of an artery as compared to the classical Kirchhoff conditions. The present modeling takes into account the heuristic Murrey cubic law.https://umjuran.ru/index.php/umj/article/view/157Stokes' flow, Bifurcation of a blood vessel, Modified Kirchhoff conditions, Pressure drop matrix, Murrey's law. |
| spellingShingle | German L. Zavorokhin A MATHEMATICAL MODEL OF AN ARTERIAL BIFURCATION Ural Mathematical Journal Stokes' flow, Bifurcation of a blood vessel, Modified Kirchhoff conditions, Pressure drop matrix, Murrey's law. |
| title | A MATHEMATICAL MODEL OF AN ARTERIAL BIFURCATION |
| title_full | A MATHEMATICAL MODEL OF AN ARTERIAL BIFURCATION |
| title_fullStr | A MATHEMATICAL MODEL OF AN ARTERIAL BIFURCATION |
| title_full_unstemmed | A MATHEMATICAL MODEL OF AN ARTERIAL BIFURCATION |
| title_short | A MATHEMATICAL MODEL OF AN ARTERIAL BIFURCATION |
| title_sort | mathematical model of an arterial bifurcation |
| topic | Stokes' flow, Bifurcation of a blood vessel, Modified Kirchhoff conditions, Pressure drop matrix, Murrey's law. |
| url | https://umjuran.ru/index.php/umj/article/view/157 |
| work_keys_str_mv | AT germanlzavorokhin amathematicalmodelofanarterialbifurcation AT germanlzavorokhin mathematicalmodelofanarterialbifurcation |