Dynamics of solitary blood waves in arteries with prostheses
We analyze the behavior of blood waves interacting with a prosthesis following the Yomosa nonlinear wave theory extended to include the spatial variation of the arterial radius and wall rigidity. When the prosthesis is short or when its characteristics are close to those of the host artery, the ampl...
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| Veröffentlicht in: | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2003-04, Vol.67 (4 Pt 1), p.041911-041911, Article 041911 |
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| container_end_page | 041911 |
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| container_issue | 4 Pt 1 |
| container_start_page | 041911 |
| container_title | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |
| container_volume | 67 |
| creator | Noubissie, S Woafo, P |
| description | We analyze the behavior of blood waves interacting with a prosthesis following the Yomosa nonlinear wave theory extended to include the spatial variation of the arterial radius and wall rigidity. When the prosthesis is short or when its characteristics are close to those of the host artery, the amplitude of the blood solitary wave increases just proximal to the prosthesis and then decreases to a magnitude smaller than the normal value in a healthy vessel. In the presence of an extended prosthesis, we derive the reflection and transmission coefficients at the interfaces, and we thereby obtain the optimal characteristics for an ideal prosthesis. Our results agree qualitatively with known experimental and numerical studies. |
| doi_str_mv | 10.1103/PhysRevE.67.041911 |
| format | Article |
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E, Statistical physics, plasmas, fluids, and related interdisciplinary topics</title><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><description>We analyze the behavior of blood waves interacting with a prosthesis following the Yomosa nonlinear wave theory extended to include the spatial variation of the arterial radius and wall rigidity. When the prosthesis is short or when its characteristics are close to those of the host artery, the amplitude of the blood solitary wave increases just proximal to the prosthesis and then decreases to a magnitude smaller than the normal value in a healthy vessel. In the presence of an extended prosthesis, we derive the reflection and transmission coefficients at the interfaces, and we thereby obtain the optimal characteristics for an ideal prosthesis. Our results agree qualitatively with known experimental and numerical studies.</description><subject>Animals</subject><subject>Arteries - pathology</subject><subject>Blood Flow Velocity</subject><subject>Humans</subject><subject>Models, Theoretical</subject><subject>Prostheses and Implants</subject><subject>Prosthesis Implantation</subject><subject>Vascular Diseases - pathology</subject><issn>1539-3755</issn><issn>1063-651X</issn><issn>1095-3787</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNpFkEtPwzAQhC0EoqXwBzggn7glrB_xQ-KCSnlIlUAIzpZjO6pR0pQ4bdV_T6oWcdo5zMzufghdE8gJAXb3vtilj7CZ5ULmwIkm5ASNCegiY1LJ00EXTA-6KEboIqVvAEaZ4udoRKhUggOM0f3jbmmb6BJuK5zaOva22-GybluPt3YTEo5LbLs-dHHQ29gv8KprU78IKaRLdFbZOoWr45ygr6fZ5_Qlm789v04f5pljQveZ54owJQouHRVQMqWD9A649t4LEMA9UYpA6YVVrArUMysqT7WTpQTKgU3Q7aF3WP2zDqk3TUwu1LVdhnadjGRMSK33RnowuuHG1IXKrLrYDB8ZAmbPzPwxM0KaA7MhdHNsX5dN8P-RIyT2Cz_iaPU</recordid><startdate>20030401</startdate><enddate>20030401</enddate><creator>Noubissie, S</creator><creator>Woafo, P</creator><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>20030401</creationdate><title>Dynamics of solitary blood waves in arteries with prostheses</title><author>Noubissie, S ; Woafo, P</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c369t-d481386547c260b389e7dc049ddd60604d18810bd6a83fe2d3a6fd29c7b702403</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Animals</topic><topic>Arteries - pathology</topic><topic>Blood Flow Velocity</topic><topic>Humans</topic><topic>Models, Theoretical</topic><topic>Prostheses and Implants</topic><topic>Prosthesis Implantation</topic><topic>Vascular Diseases - pathology</topic><toplevel>online_resources</toplevel><creatorcontrib>Noubissie, S</creatorcontrib><creatorcontrib>Woafo, P</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Physical review. 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E, Statistical physics, plasmas, fluids, and related interdisciplinary topics</jtitle><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><date>2003-04-01</date><risdate>2003</risdate><volume>67</volume><issue>4 Pt 1</issue><spage>041911</spage><epage>041911</epage><pages>041911-041911</pages><artnum>041911</artnum><issn>1539-3755</issn><issn>1063-651X</issn><eissn>1095-3787</eissn><abstract>We analyze the behavior of blood waves interacting with a prosthesis following the Yomosa nonlinear wave theory extended to include the spatial variation of the arterial radius and wall rigidity. When the prosthesis is short or when its characteristics are close to those of the host artery, the amplitude of the blood solitary wave increases just proximal to the prosthesis and then decreases to a magnitude smaller than the normal value in a healthy vessel. In the presence of an extended prosthesis, we derive the reflection and transmission coefficients at the interfaces, and we thereby obtain the optimal characteristics for an ideal prosthesis. Our results agree qualitatively with known experimental and numerical studies.</abstract><cop>United States</cop><pmid>12786400</pmid><doi>10.1103/PhysRevE.67.041911</doi><tpages>1</tpages></addata></record> |
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| ispartof | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2003-04, Vol.67 (4 Pt 1), p.041911-041911, Article 041911 |
| issn | 1539-3755 1063-651X 1095-3787 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_73367990 |
| source | MEDLINE; American Physical Society Journals |
| subjects | Animals Arteries - pathology Blood Flow Velocity Humans Models, Theoretical Prostheses and Implants Prosthesis Implantation Vascular Diseases - pathology |
| title | Dynamics of solitary blood waves in arteries with prostheses |
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