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Characterization of red blood cell aggregate formation using an analytical model of the ultrasonic backscattering coefficient
Ultrasound backscattering is well adapted to study the red blood cell (RBC) aggregation phenomenon and growth of RBC aggregates since the backscattered ultrasonic intensity depends on the sixth power of the mean radius of the scattering centers when considered as spherical. Thus, small variations of...
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Published in: | IEEE transactions on biomedical engineering 1997-07, Vol.44 (7), p.585-591 |
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description | Ultrasound backscattering is well adapted to study the red blood cell (RBC) aggregation phenomenon and growth of RBC aggregates since the backscattered ultrasonic intensity depends on the sixth power of the mean radius of the scattering centers when considered as spherical. Thus, small variations of aggregate size induce large variations of the backscattered intensity. From measurements of the ultrasonic backscattering coefficient (ultrasonic backscattering cross section per unit volume of suspension), an analytical model describing its variation versus time, for human aggregated red blood cells in sedimentation, is proposed. Results given by the model allow to define three phases in the phenomenon: 1) a starting phase characterized by a duration t/sub s/; 2) a stationary final phase beginning at time t/sub f/; 3) a growing intermediate phase characterized by its duration t/sub f/-t/sub s/. The analytical model has been applied to describe RBC aggregation in dextran 70,000 dalton of different concentrations, and at various hematocrits. Knowledge of the durations t/sub s/, t/sub f/ and the maximum slope s of the curve during the intermediate phase, determined with the model, allows a means to study RBC aggregate growth. |
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Thus, small variations of aggregate size induce large variations of the backscattered intensity. From measurements of the ultrasonic backscattering coefficient (ultrasonic backscattering cross section per unit volume of suspension), an analytical model describing its variation versus time, for human aggregated red blood cells in sedimentation, is proposed. Results given by the model allow to define three phases in the phenomenon: 1) a starting phase characterized by a duration t/sub s/; 2) a stationary final phase beginning at time t/sub f/; 3) a growing intermediate phase characterized by its duration t/sub f/-t/sub s/. The analytical model has been applied to describe RBC aggregation in dextran 70,000 dalton of different concentrations, and at various hematocrits. Knowledge of the durations t/sub s/, t/sub f/ and the maximum slope s of the curve during the intermediate phase, determined with the model, allows a means to study RBC aggregate growth.</description><identifier>ISSN: 0018-9294</identifier><identifier>EISSN: 1558-2531</identifier><identifier>DOI: 10.1109/10.594899</identifier><identifier>PMID: 9210818</identifier><identifier>CODEN: IEBEAX</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Aggregates ; Analytical models ; Backscatter ; Biological and medical sciences ; Blood Sedimentation ; Cell cycle, cell proliferation ; Cell physiology ; Erythrocyte Aggregation ; Erythrocytes - diagnostic imaging ; Fundamental and applied biological sciences. Psychology ; Humans ; Least-Squares Analysis ; Models, Biological ; Molecular and cellular biology ; Normal Distribution ; Red blood cells ; Scattering ; Time Factors ; Time measurement ; Ultrasonic imaging ; Ultrasonic variables measurement ; Ultrasonography - instrumentation ; Ultrasonography - statistics & numerical data ; Volume measurement</subject><ispartof>IEEE transactions on biomedical engineering, 1997-07, Vol.44 (7), p.585-591</ispartof><rights>1997 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c359t-35454e7efed7fe9203fd9ce4432ac32d5a5440dbcc520c2fa75cc9989163247e3</citedby><cites>FETCH-LOGICAL-c359t-35454e7efed7fe9203fd9ce4432ac32d5a5440dbcc520c2fa75cc9989163247e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/594899$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,54796</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=2700274$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/9210818$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Sennaoui, A.</creatorcontrib><creatorcontrib>Boynard, M.</creatorcontrib><creatorcontrib>Pautou, C.</creatorcontrib><title>Characterization of red blood cell aggregate formation using an analytical model of the ultrasonic backscattering coefficient</title><title>IEEE transactions on biomedical engineering</title><addtitle>TBME</addtitle><addtitle>IEEE Trans Biomed Eng</addtitle><description>Ultrasound backscattering is well adapted to study the red blood cell (RBC) aggregation phenomenon and growth of RBC aggregates since the backscattered ultrasonic intensity depends on the sixth power of the mean radius of the scattering centers when considered as spherical. Thus, small variations of aggregate size induce large variations of the backscattered intensity. From measurements of the ultrasonic backscattering coefficient (ultrasonic backscattering cross section per unit volume of suspension), an analytical model describing its variation versus time, for human aggregated red blood cells in sedimentation, is proposed. Results given by the model allow to define three phases in the phenomenon: 1) a starting phase characterized by a duration t/sub s/; 2) a stationary final phase beginning at time t/sub f/; 3) a growing intermediate phase characterized by its duration t/sub f/-t/sub s/. The analytical model has been applied to describe RBC aggregation in dextran 70,000 dalton of different concentrations, and at various hematocrits. Knowledge of the durations t/sub s/, t/sub f/ and the maximum slope s of the curve during the intermediate phase, determined with the model, allows a means to study RBC aggregate growth.</description><subject>Aggregates</subject><subject>Analytical models</subject><subject>Backscatter</subject><subject>Biological and medical sciences</subject><subject>Blood Sedimentation</subject><subject>Cell cycle, cell proliferation</subject><subject>Cell physiology</subject><subject>Erythrocyte Aggregation</subject><subject>Erythrocytes - diagnostic imaging</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Humans</subject><subject>Least-Squares Analysis</subject><subject>Models, Biological</subject><subject>Molecular and cellular biology</subject><subject>Normal Distribution</subject><subject>Red blood cells</subject><subject>Scattering</subject><subject>Time Factors</subject><subject>Time measurement</subject><subject>Ultrasonic imaging</subject><subject>Ultrasonic variables measurement</subject><subject>Ultrasonography - instrumentation</subject><subject>Ultrasonography - statistics & numerical data</subject><subject>Volume measurement</subject><issn>0018-9294</issn><issn>1558-2531</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><recordid>eNqFkc1r3DAQxUVpSLdpD70WCjqUQg9uJVlaWcew9AsCuaRnMyuPNmplK5XkQwL93ytjs9fCwGN4v5lBeoS84ewT58x8rqqM7Ix5RnZcqa4RquXPyY4x3jVGGPmCvMz5V21lJ_eX5NIIzjre7cjfwz0ksAWTf4Li40SjowkHegwxDtRiCBROp4QnKEhdTONKzdlPJwpTLQiPxVsIdIwDhmW-3COdQ0mQ4-QtPYL9nS2U5UgdshGd89bjVF6RCwch4-tNr8jPr1_uDt-bm9tvPw7XN41tlSlNq6SSqNHhoB0awVo3GItStgJsKwYFSko2HK1VglnhQCtrjekM37dCamyvyId170OKf2bMpR99Xt4GE8Y599pwpvZG_BcUnWCaa17BjytoU8w5oesfkh8hPfac9Usmi66ZVPbdtnQ-jjicyS2E6r_ffKjfFFyCyfp8xoRmTGhZsbcr5hHx7G43_gFw152z</recordid><startdate>19970701</startdate><enddate>19970701</enddate><creator>Sennaoui, A.</creator><creator>Boynard, M.</creator><creator>Pautou, C.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><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>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>7X8</scope></search><sort><creationdate>19970701</creationdate><title>Characterization of red blood cell aggregate formation using an analytical model of the ultrasonic backscattering coefficient</title><author>Sennaoui, A. ; Boynard, M. ; Pautou, C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-35454e7efed7fe9203fd9ce4432ac32d5a5440dbcc520c2fa75cc9989163247e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>Aggregates</topic><topic>Analytical models</topic><topic>Backscatter</topic><topic>Biological and medical sciences</topic><topic>Blood Sedimentation</topic><topic>Cell cycle, cell proliferation</topic><topic>Cell physiology</topic><topic>Erythrocyte Aggregation</topic><topic>Erythrocytes - diagnostic imaging</topic><topic>Fundamental and applied biological sciences. Psychology</topic><topic>Humans</topic><topic>Least-Squares Analysis</topic><topic>Models, Biological</topic><topic>Molecular and cellular biology</topic><topic>Normal Distribution</topic><topic>Red blood cells</topic><topic>Scattering</topic><topic>Time Factors</topic><topic>Time measurement</topic><topic>Ultrasonic imaging</topic><topic>Ultrasonic variables measurement</topic><topic>Ultrasonography - instrumentation</topic><topic>Ultrasonography - statistics & numerical data</topic><topic>Volume measurement</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sennaoui, A.</creatorcontrib><creatorcontrib>Boynard, M.</creatorcontrib><creatorcontrib>Pautou, C.</creatorcontrib><collection>Pascal-Francis</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><jtitle>IEEE transactions on biomedical engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sennaoui, A.</au><au>Boynard, M.</au><au>Pautou, C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Characterization of red blood cell aggregate formation using an analytical model of the ultrasonic backscattering coefficient</atitle><jtitle>IEEE transactions on biomedical engineering</jtitle><stitle>TBME</stitle><addtitle>IEEE Trans Biomed Eng</addtitle><date>1997-07-01</date><risdate>1997</risdate><volume>44</volume><issue>7</issue><spage>585</spage><epage>591</epage><pages>585-591</pages><issn>0018-9294</issn><eissn>1558-2531</eissn><coden>IEBEAX</coden><abstract>Ultrasound backscattering is well adapted to study the red blood cell (RBC) aggregation phenomenon and growth of RBC aggregates since the backscattered ultrasonic intensity depends on the sixth power of the mean radius of the scattering centers when considered as spherical. Thus, small variations of aggregate size induce large variations of the backscattered intensity. From measurements of the ultrasonic backscattering coefficient (ultrasonic backscattering cross section per unit volume of suspension), an analytical model describing its variation versus time, for human aggregated red blood cells in sedimentation, is proposed. Results given by the model allow to define three phases in the phenomenon: 1) a starting phase characterized by a duration t/sub s/; 2) a stationary final phase beginning at time t/sub f/; 3) a growing intermediate phase characterized by its duration t/sub f/-t/sub s/. The analytical model has been applied to describe RBC aggregation in dextran 70,000 dalton of different concentrations, and at various hematocrits. Knowledge of the durations t/sub s/, t/sub f/ and the maximum slope s of the curve during the intermediate phase, determined with the model, allows a means to study RBC aggregate growth.</abstract><cop>New York, NY</cop><pub>IEEE</pub><pmid>9210818</pmid><doi>10.1109/10.594899</doi><tpages>7</tpages></addata></record> |
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subjects | Aggregates Analytical models Backscatter Biological and medical sciences Blood Sedimentation Cell cycle, cell proliferation Cell physiology Erythrocyte Aggregation Erythrocytes - diagnostic imaging Fundamental and applied biological sciences. Psychology Humans Least-Squares Analysis Models, Biological Molecular and cellular biology Normal Distribution Red blood cells Scattering Time Factors Time measurement Ultrasonic imaging Ultrasonic variables measurement Ultrasonography - instrumentation Ultrasonography - statistics & numerical data Volume measurement |
title | Characterization of red blood cell aggregate formation using an analytical model of the ultrasonic backscattering coefficient |
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