Estimation of increased flow resistance in a narrow catheterized artery — a theoretical model

The changed flow pattern in a narrow catheterized artery is studied and an estimate of the increased flow resistance is made. The anomalous behaviour of blood in small blood vessels has been taken into account by modelling blood as a Casson fluid possessing some finite yield stress. Both the cases o...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of biomechanics 1996-07, Vol.29 (7), p.917-930
Hauptverfasser: Dash, R.K., Jayaraman, G., Mehta, K.N.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 930
container_issue 7
container_start_page 917
container_title Journal of biomechanics
container_volume 29
creator Dash, R.K.
Jayaraman, G.
Mehta, K.N.
description The changed flow pattern in a narrow catheterized artery is studied and an estimate of the increased flow resistance is made. The anomalous behaviour of blood in small blood vessels has been taken into account by modelling blood as a Casson fluid possessing some finite yield stress. Both the cases of steady and pulsatile flow situations are studied. The pulsatile flow is analysed by considering the pressure gradient as a periodic function of time with small inertial effects. The resulting quasi-steady non-linear coupled implicit system of differential equations governing the flow are solved using a perturbation analysis, where it is assumed that the Womersley frequency parameter is small (α < 1) which is reasonable for physiological situations in small blood vessels as well as in coronary arteries. The effect of pulsatility, catheter radius and yield stress of the fluid on the yield plane locations, velocity distribution, flow rate, shear stress and frictional resistance are investigated. Because of the yield stress θ, two yield surfaces are found to be located in the flow field. Depending on the ratio k (catheter size/vessel size) ranging from 0.3 to 0.7 (which is widely used in coronary angioplasty procedures), the frictional resistance to flow in large blood vessels, where the effect of yield stress can be neglected (i.e. θ = 0), increases by a factor ranging from 3 to 33. In small blood vessels with the same range of catheter size and an unit pressure gradient, frictional resistance increase was by a factor of 7-21 when θ = 0.05 and 11-294 when θ = 0.1. For small values of k and θ, the frictional resistance increase was relatively less, but still appreciable. For comparative large values of k and θ, the frictional resistance increases to several hundred times thus implying that the combined effect of increased catheter radius and yield stress is to obstruct the fluid movement considerably.
doi_str_mv 10.1016/0021-9290(95)00153-0
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_78340068</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>0021929095001530</els_id><sourcerecordid>15734911</sourcerecordid><originalsourceid>FETCH-LOGICAL-c454t-e3a4fbbbc8fc8491b175cae744cbfd24f79adabbd4e53e31e339bea72db33f083</originalsourceid><addsrcrecordid>eNqFkUtOHDEQhq0oCCZDbhCkXkVk0VBuu8ftDRJCk4eExAbWlh9lxVFPG2wPEVlxCE7ISfBkRixhZav-r8rWV4R8oXBCgS5OATrayk7Csey_AdCetfCBzOggWNuxAT6S2StyQD7l_AcABBdyn-wPA8hF182IWuYSVrqEODXRN2GyCXVG1_gx_m0S5pCLnizWpNHNpFOqZavLbyyYwr8K6lRvD83z41MFaj0mLMHqsVlFh-Mh2fN6zPh5d87Jzffl9cXP9vLqx6-L88vW8p6XFpnm3hhjB28HLqmhorcaBefWeNdxL6R22hjHsWfIKDImDWrROcOYh4HNydft3NsU79aYi1qFbHEc9YRxnZUYGAdYvA_SXrD6AVpBvgVtijkn9Oo2VVPpQVFQmwWojV21satkr_4vQEFtO9rNX5sVutemnfGan21zrDbuAyaVbcBq2IWEtigXw9sPvAAAPZd3</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>15734911</pqid></control><display><type>article</type><title>Estimation of increased flow resistance in a narrow catheterized artery — a theoretical model</title><source>MEDLINE</source><source>Elsevier ScienceDirect Journals</source><creator>Dash, R.K. ; Jayaraman, G. ; Mehta, K.N.</creator><creatorcontrib>Dash, R.K. ; Jayaraman, G. ; Mehta, K.N.</creatorcontrib><description>The changed flow pattern in a narrow catheterized artery is studied and an estimate of the increased flow resistance is made. The anomalous behaviour of blood in small blood vessels has been taken into account by modelling blood as a Casson fluid possessing some finite yield stress. Both the cases of steady and pulsatile flow situations are studied. The pulsatile flow is analysed by considering the pressure gradient as a periodic function of time with small inertial effects. The resulting quasi-steady non-linear coupled implicit system of differential equations governing the flow are solved using a perturbation analysis, where it is assumed that the Womersley frequency parameter is small (α &lt; 1) which is reasonable for physiological situations in small blood vessels as well as in coronary arteries. The effect of pulsatility, catheter radius and yield stress of the fluid on the yield plane locations, velocity distribution, flow rate, shear stress and frictional resistance are investigated. Because of the yield stress θ, two yield surfaces are found to be located in the flow field. Depending on the ratio k (catheter size/vessel size) ranging from 0.3 to 0.7 (which is widely used in coronary angioplasty procedures), the frictional resistance to flow in large blood vessels, where the effect of yield stress can be neglected (i.e. θ = 0), increases by a factor ranging from 3 to 33. In small blood vessels with the same range of catheter size and an unit pressure gradient, frictional resistance increase was by a factor of 7-21 when θ = 0.05 and 11-294 when θ = 0.1. For small values of k and θ, the frictional resistance increase was relatively less, but still appreciable. For comparative large values of k and θ, the frictional resistance increases to several hundred times thus implying that the combined effect of increased catheter radius and yield stress is to obstruct the fluid movement considerably.</description><identifier>ISSN: 0021-9290</identifier><identifier>EISSN: 1873-2380</identifier><identifier>DOI: 10.1016/0021-9290(95)00153-0</identifier><identifier>PMID: 8809622</identifier><language>eng</language><publisher>United States: Elsevier Ltd</publisher><subject>Animals ; Arteries - physiology ; Blood flow ; Casson fluid ; Catheterization ; Catheterized artery ; Humans ; Models, Cardiovascular ; Regional Blood Flow ; Stress, Mechanical ; Vascular Resistance</subject><ispartof>Journal of biomechanics, 1996-07, Vol.29 (7), p.917-930</ispartof><rights>1996 Elsevier Science Ltd. All rights reserved</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c454t-e3a4fbbbc8fc8491b175cae744cbfd24f79adabbd4e53e31e339bea72db33f083</citedby><cites>FETCH-LOGICAL-c454t-e3a4fbbbc8fc8491b175cae744cbfd24f79adabbd4e53e31e339bea72db33f083</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/0021929095001530$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27903,27904,65308</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/8809622$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Dash, R.K.</creatorcontrib><creatorcontrib>Jayaraman, G.</creatorcontrib><creatorcontrib>Mehta, K.N.</creatorcontrib><title>Estimation of increased flow resistance in a narrow catheterized artery — a theoretical model</title><title>Journal of biomechanics</title><addtitle>J Biomech</addtitle><description>The changed flow pattern in a narrow catheterized artery is studied and an estimate of the increased flow resistance is made. The anomalous behaviour of blood in small blood vessels has been taken into account by modelling blood as a Casson fluid possessing some finite yield stress. Both the cases of steady and pulsatile flow situations are studied. The pulsatile flow is analysed by considering the pressure gradient as a periodic function of time with small inertial effects. The resulting quasi-steady non-linear coupled implicit system of differential equations governing the flow are solved using a perturbation analysis, where it is assumed that the Womersley frequency parameter is small (α &lt; 1) which is reasonable for physiological situations in small blood vessels as well as in coronary arteries. The effect of pulsatility, catheter radius and yield stress of the fluid on the yield plane locations, velocity distribution, flow rate, shear stress and frictional resistance are investigated. Because of the yield stress θ, two yield surfaces are found to be located in the flow field. Depending on the ratio k (catheter size/vessel size) ranging from 0.3 to 0.7 (which is widely used in coronary angioplasty procedures), the frictional resistance to flow in large blood vessels, where the effect of yield stress can be neglected (i.e. θ = 0), increases by a factor ranging from 3 to 33. In small blood vessels with the same range of catheter size and an unit pressure gradient, frictional resistance increase was by a factor of 7-21 when θ = 0.05 and 11-294 when θ = 0.1. For small values of k and θ, the frictional resistance increase was relatively less, but still appreciable. For comparative large values of k and θ, the frictional resistance increases to several hundred times thus implying that the combined effect of increased catheter radius and yield stress is to obstruct the fluid movement considerably.</description><subject>Animals</subject><subject>Arteries - physiology</subject><subject>Blood flow</subject><subject>Casson fluid</subject><subject>Catheterization</subject><subject>Catheterized artery</subject><subject>Humans</subject><subject>Models, Cardiovascular</subject><subject>Regional Blood Flow</subject><subject>Stress, Mechanical</subject><subject>Vascular Resistance</subject><issn>0021-9290</issn><issn>1873-2380</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNqFkUtOHDEQhq0oCCZDbhCkXkVk0VBuu8ftDRJCk4eExAbWlh9lxVFPG2wPEVlxCE7ISfBkRixhZav-r8rWV4R8oXBCgS5OATrayk7Csey_AdCetfCBzOggWNuxAT6S2StyQD7l_AcABBdyn-wPA8hF182IWuYSVrqEODXRN2GyCXVG1_gx_m0S5pCLnizWpNHNpFOqZavLbyyYwr8K6lRvD83z41MFaj0mLMHqsVlFh-Mh2fN6zPh5d87Jzffl9cXP9vLqx6-L88vW8p6XFpnm3hhjB28HLqmhorcaBefWeNdxL6R22hjHsWfIKDImDWrROcOYh4HNydft3NsU79aYi1qFbHEc9YRxnZUYGAdYvA_SXrD6AVpBvgVtijkn9Oo2VVPpQVFQmwWojV21satkr_4vQEFtO9rNX5sVutemnfGan21zrDbuAyaVbcBq2IWEtigXw9sPvAAAPZd3</recordid><startdate>19960701</startdate><enddate>19960701</enddate><creator>Dash, R.K.</creator><creator>Jayaraman, G.</creator><creator>Mehta, K.N.</creator><general>Elsevier Ltd</general><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>7QO</scope><scope>8FD</scope><scope>FR3</scope><scope>P64</scope><scope>7X8</scope></search><sort><creationdate>19960701</creationdate><title>Estimation of increased flow resistance in a narrow catheterized artery — a theoretical model</title><author>Dash, R.K. ; Jayaraman, G. ; Mehta, K.N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c454t-e3a4fbbbc8fc8491b175cae744cbfd24f79adabbd4e53e31e339bea72db33f083</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Animals</topic><topic>Arteries - physiology</topic><topic>Blood flow</topic><topic>Casson fluid</topic><topic>Catheterization</topic><topic>Catheterized artery</topic><topic>Humans</topic><topic>Models, Cardiovascular</topic><topic>Regional Blood Flow</topic><topic>Stress, Mechanical</topic><topic>Vascular Resistance</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dash, R.K.</creatorcontrib><creatorcontrib>Jayaraman, G.</creatorcontrib><creatorcontrib>Mehta, K.N.</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Biotechnology Research Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of biomechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dash, R.K.</au><au>Jayaraman, G.</au><au>Mehta, K.N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Estimation of increased flow resistance in a narrow catheterized artery — a theoretical model</atitle><jtitle>Journal of biomechanics</jtitle><addtitle>J Biomech</addtitle><date>1996-07-01</date><risdate>1996</risdate><volume>29</volume><issue>7</issue><spage>917</spage><epage>930</epage><pages>917-930</pages><issn>0021-9290</issn><eissn>1873-2380</eissn><abstract>The changed flow pattern in a narrow catheterized artery is studied and an estimate of the increased flow resistance is made. The anomalous behaviour of blood in small blood vessels has been taken into account by modelling blood as a Casson fluid possessing some finite yield stress. Both the cases of steady and pulsatile flow situations are studied. The pulsatile flow is analysed by considering the pressure gradient as a periodic function of time with small inertial effects. The resulting quasi-steady non-linear coupled implicit system of differential equations governing the flow are solved using a perturbation analysis, where it is assumed that the Womersley frequency parameter is small (α &lt; 1) which is reasonable for physiological situations in small blood vessels as well as in coronary arteries. The effect of pulsatility, catheter radius and yield stress of the fluid on the yield plane locations, velocity distribution, flow rate, shear stress and frictional resistance are investigated. Because of the yield stress θ, two yield surfaces are found to be located in the flow field. Depending on the ratio k (catheter size/vessel size) ranging from 0.3 to 0.7 (which is widely used in coronary angioplasty procedures), the frictional resistance to flow in large blood vessels, where the effect of yield stress can be neglected (i.e. θ = 0), increases by a factor ranging from 3 to 33. In small blood vessels with the same range of catheter size and an unit pressure gradient, frictional resistance increase was by a factor of 7-21 when θ = 0.05 and 11-294 when θ = 0.1. For small values of k and θ, the frictional resistance increase was relatively less, but still appreciable. For comparative large values of k and θ, the frictional resistance increases to several hundred times thus implying that the combined effect of increased catheter radius and yield stress is to obstruct the fluid movement considerably.</abstract><cop>United States</cop><pub>Elsevier Ltd</pub><pmid>8809622</pmid><doi>10.1016/0021-9290(95)00153-0</doi><tpages>14</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0021-9290
ispartof Journal of biomechanics, 1996-07, Vol.29 (7), p.917-930
issn 0021-9290
1873-2380
language eng
recordid cdi_proquest_miscellaneous_78340068
source MEDLINE; Elsevier ScienceDirect Journals
subjects Animals
Arteries - physiology
Blood flow
Casson fluid
Catheterization
Catheterized artery
Humans
Models, Cardiovascular
Regional Blood Flow
Stress, Mechanical
Vascular Resistance
title Estimation of increased flow resistance in a narrow catheterized artery — a theoretical model
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-28T07%3A50%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Estimation%20of%20increased%20flow%20resistance%20in%20a%20narrow%20catheterized%20artery%20%E2%80%94%20a%20theoretical%20model&rft.jtitle=Journal%20of%20biomechanics&rft.au=Dash,%20R.K.&rft.date=1996-07-01&rft.volume=29&rft.issue=7&rft.spage=917&rft.epage=930&rft.pages=917-930&rft.issn=0021-9290&rft.eissn=1873-2380&rft_id=info:doi/10.1016/0021-9290(95)00153-0&rft_dat=%3Cproquest_cross%3E15734911%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=15734911&rft_id=info:pmid/8809622&rft_els_id=0021929095001530&rfr_iscdi=true