Exchange-induced relaxation in the presence of a fictitious field
•A theory of exchange-induced relaxation in the presence of a fictitious field was derived.•The method can be generalized for description of relaxation in the rotating frames of rank n⩾3.•The derived expressions provide a means to analyze data from MRI experiments with the RAFFn method. In the prese...
Gespeichert in:
Veröffentlicht in: | Journal of magnetic resonance (1997) 2014-08, Vol.245, p.12-16 |
---|---|
Hauptverfasser: | , , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 16 |
---|---|
container_issue | |
container_start_page | 12 |
container_title | Journal of magnetic resonance (1997) |
container_volume | 245 |
creator | Sorce, Dennis J. Mangia, Silvia Liimatainen, Timo Garwood, Michael Michaeli, Shalom |
description | •A theory of exchange-induced relaxation in the presence of a fictitious field was derived.•The method can be generalized for description of relaxation in the rotating frames of rank n⩾3.•The derived expressions provide a means to analyze data from MRI experiments with the RAFFn method.
In the present study we derive a solution for two site fast exchange-induced relaxation in the presence of a fictitious magnetic field as generated by amplitude and frequency modulated RF pulses. This solution provides a means to analyze data obtained from relaxation experiments with the method called RAFFn (Relaxation Along a Fictitious Field of rank n), in which a fictitious field is created in a coordinate frame undergoing multi-fold rotation about n axes (rank n). The RAFF2 technique is relevant to MRI relaxation methods that provide good contrast enhancement for tumor detection. The relaxation equations for n=2 are derived for the fast exchange regime using density matrix formalism. The method of derivation can be further extended to obtain solutions for n>2. |
doi_str_mv | 10.1016/j.jmr.2014.04.019 |
format | Article |
fullrecord | <record><control><sourceid>proquest_pubme</sourceid><recordid>TN_cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4308052</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S1090780714001268</els_id><sourcerecordid>1793284380</sourcerecordid><originalsourceid>FETCH-LOGICAL-c484t-38a62b5c44d401c989df4637377df572fe0779ce1d4d195a3dfd13b52e8fd0643</originalsourceid><addsrcrecordid>eNqFkVFLHDEQx4NU1KofwJeyj33Z68wmu0koFERsFQRf9DnkkomXY2_3muyJfvvmPJX2pcLADMxv_szMn7EzhBkCdt-Ws-UqzRpAMYMSqPfYEYLualBt9-mlhloqkIfsc85LAMRWwgE7bIRGVEodsfPLJ7ewwwPVcfAbR75K1NsnO8VxqOJQTQuq1okyDY6qMVS2CtFNsbQ3uZTU-xO2H2yf6fQ1H7P7n5d3F1f1ze2v64vzm9oJJaaaK9s189YJ4QWg00r7IDouuZQ-tLIJBFJqR-iFR91a7oNHPm8bUsFDJ_gx-7HTXW_mK_KOhinZ3qxTXNn0bEYbzb-dIS7Mw_hoBAcFbVMEvr4KpPH3hvJkVjE76ns7ULnGoNS8UYIr-Bhti57kWvGC4g51acw5UXjfCMFsXTJLU1wyW5cMlEBdZr78fcr7xJstBfi-A6g89DFSMtnFrQU-JnKT8WP8j_wfMEqizw</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1552373983</pqid></control><display><type>article</type><title>Exchange-induced relaxation in the presence of a fictitious field</title><source>MEDLINE</source><source>Access via ScienceDirect (Elsevier)</source><creator>Sorce, Dennis J. ; Mangia, Silvia ; Liimatainen, Timo ; Garwood, Michael ; Michaeli, Shalom</creator><creatorcontrib>Sorce, Dennis J. ; Mangia, Silvia ; Liimatainen, Timo ; Garwood, Michael ; Michaeli, Shalom</creatorcontrib><description>•A theory of exchange-induced relaxation in the presence of a fictitious field was derived.•The method can be generalized for description of relaxation in the rotating frames of rank n⩾3.•The derived expressions provide a means to analyze data from MRI experiments with the RAFFn method.
In the present study we derive a solution for two site fast exchange-induced relaxation in the presence of a fictitious magnetic field as generated by amplitude and frequency modulated RF pulses. This solution provides a means to analyze data obtained from relaxation experiments with the method called RAFFn (Relaxation Along a Fictitious Field of rank n), in which a fictitious field is created in a coordinate frame undergoing multi-fold rotation about n axes (rank n). The RAFF2 technique is relevant to MRI relaxation methods that provide good contrast enhancement for tumor detection. The relaxation equations for n=2 are derived for the fast exchange regime using density matrix formalism. The method of derivation can be further extended to obtain solutions for n>2.</description><identifier>ISSN: 1090-7807</identifier><identifier>EISSN: 1096-0856</identifier><identifier>DOI: 10.1016/j.jmr.2014.04.019</identifier><identifier>PMID: 24911888</identifier><language>eng</language><publisher>United States: Elsevier Inc</publisher><subject>Algorithms ; Amplitudes ; Density ; Derivation ; Electromagnetic Fields ; Exchange ; Fictitious fields ; Formalism ; Frames ; High rotating frames ; Image Enhancement - methods ; Image Interpretation, Computer-Assisted - methods ; Magnetic fields ; Magnetic Resonance Imaging - methods ; Mathematical analysis ; Relaxations</subject><ispartof>Journal of magnetic resonance (1997), 2014-08, Vol.245, p.12-16</ispartof><rights>2014</rights><rights>Published by Elsevier Inc.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c484t-38a62b5c44d401c989df4637377df572fe0779ce1d4d195a3dfd13b52e8fd0643</citedby><cites>FETCH-LOGICAL-c484t-38a62b5c44d401c989df4637377df572fe0779ce1d4d195a3dfd13b52e8fd0643</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.jmr.2014.04.019$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,780,784,885,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/24911888$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Sorce, Dennis J.</creatorcontrib><creatorcontrib>Mangia, Silvia</creatorcontrib><creatorcontrib>Liimatainen, Timo</creatorcontrib><creatorcontrib>Garwood, Michael</creatorcontrib><creatorcontrib>Michaeli, Shalom</creatorcontrib><title>Exchange-induced relaxation in the presence of a fictitious field</title><title>Journal of magnetic resonance (1997)</title><addtitle>J Magn Reson</addtitle><description>•A theory of exchange-induced relaxation in the presence of a fictitious field was derived.•The method can be generalized for description of relaxation in the rotating frames of rank n⩾3.•The derived expressions provide a means to analyze data from MRI experiments with the RAFFn method.
In the present study we derive a solution for two site fast exchange-induced relaxation in the presence of a fictitious magnetic field as generated by amplitude and frequency modulated RF pulses. This solution provides a means to analyze data obtained from relaxation experiments with the method called RAFFn (Relaxation Along a Fictitious Field of rank n), in which a fictitious field is created in a coordinate frame undergoing multi-fold rotation about n axes (rank n). The RAFF2 technique is relevant to MRI relaxation methods that provide good contrast enhancement for tumor detection. The relaxation equations for n=2 are derived for the fast exchange regime using density matrix formalism. The method of derivation can be further extended to obtain solutions for n>2.</description><subject>Algorithms</subject><subject>Amplitudes</subject><subject>Density</subject><subject>Derivation</subject><subject>Electromagnetic Fields</subject><subject>Exchange</subject><subject>Fictitious fields</subject><subject>Formalism</subject><subject>Frames</subject><subject>High rotating frames</subject><subject>Image Enhancement - methods</subject><subject>Image Interpretation, Computer-Assisted - methods</subject><subject>Magnetic fields</subject><subject>Magnetic Resonance Imaging - methods</subject><subject>Mathematical analysis</subject><subject>Relaxations</subject><issn>1090-7807</issn><issn>1096-0856</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNqFkVFLHDEQx4NU1KofwJeyj33Z68wmu0koFERsFQRf9DnkkomXY2_3muyJfvvmPJX2pcLADMxv_szMn7EzhBkCdt-Ws-UqzRpAMYMSqPfYEYLualBt9-mlhloqkIfsc85LAMRWwgE7bIRGVEodsfPLJ7ewwwPVcfAbR75K1NsnO8VxqOJQTQuq1okyDY6qMVS2CtFNsbQ3uZTU-xO2H2yf6fQ1H7P7n5d3F1f1ze2v64vzm9oJJaaaK9s189YJ4QWg00r7IDouuZQ-tLIJBFJqR-iFR91a7oNHPm8bUsFDJ_gx-7HTXW_mK_KOhinZ3qxTXNn0bEYbzb-dIS7Mw_hoBAcFbVMEvr4KpPH3hvJkVjE76ns7ULnGoNS8UYIr-Bhti57kWvGC4g51acw5UXjfCMFsXTJLU1wyW5cMlEBdZr78fcr7xJstBfi-A6g89DFSMtnFrQU-JnKT8WP8j_wfMEqizw</recordid><startdate>20140801</startdate><enddate>20140801</enddate><creator>Sorce, Dennis J.</creator><creator>Mangia, Silvia</creator><creator>Liimatainen, Timo</creator><creator>Garwood, Michael</creator><creator>Michaeli, Shalom</creator><general>Elsevier Inc</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>7X8</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>5PM</scope></search><sort><creationdate>20140801</creationdate><title>Exchange-induced relaxation in the presence of a fictitious field</title><author>Sorce, Dennis J. ; Mangia, Silvia ; Liimatainen, Timo ; Garwood, Michael ; Michaeli, Shalom</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c484t-38a62b5c44d401c989df4637377df572fe0779ce1d4d195a3dfd13b52e8fd0643</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Algorithms</topic><topic>Amplitudes</topic><topic>Density</topic><topic>Derivation</topic><topic>Electromagnetic Fields</topic><topic>Exchange</topic><topic>Fictitious fields</topic><topic>Formalism</topic><topic>Frames</topic><topic>High rotating frames</topic><topic>Image Enhancement - methods</topic><topic>Image Interpretation, Computer-Assisted - methods</topic><topic>Magnetic fields</topic><topic>Magnetic Resonance Imaging - methods</topic><topic>Mathematical analysis</topic><topic>Relaxations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sorce, Dennis J.</creatorcontrib><creatorcontrib>Mangia, Silvia</creatorcontrib><creatorcontrib>Liimatainen, Timo</creatorcontrib><creatorcontrib>Garwood, Michael</creatorcontrib><creatorcontrib>Michaeli, Shalom</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><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Journal of magnetic resonance (1997)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sorce, Dennis J.</au><au>Mangia, Silvia</au><au>Liimatainen, Timo</au><au>Garwood, Michael</au><au>Michaeli, Shalom</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exchange-induced relaxation in the presence of a fictitious field</atitle><jtitle>Journal of magnetic resonance (1997)</jtitle><addtitle>J Magn Reson</addtitle><date>2014-08-01</date><risdate>2014</risdate><volume>245</volume><spage>12</spage><epage>16</epage><pages>12-16</pages><issn>1090-7807</issn><eissn>1096-0856</eissn><abstract>•A theory of exchange-induced relaxation in the presence of a fictitious field was derived.•The method can be generalized for description of relaxation in the rotating frames of rank n⩾3.•The derived expressions provide a means to analyze data from MRI experiments with the RAFFn method.
In the present study we derive a solution for two site fast exchange-induced relaxation in the presence of a fictitious magnetic field as generated by amplitude and frequency modulated RF pulses. This solution provides a means to analyze data obtained from relaxation experiments with the method called RAFFn (Relaxation Along a Fictitious Field of rank n), in which a fictitious field is created in a coordinate frame undergoing multi-fold rotation about n axes (rank n). The RAFF2 technique is relevant to MRI relaxation methods that provide good contrast enhancement for tumor detection. The relaxation equations for n=2 are derived for the fast exchange regime using density matrix formalism. The method of derivation can be further extended to obtain solutions for n>2.</abstract><cop>United States</cop><pub>Elsevier Inc</pub><pmid>24911888</pmid><doi>10.1016/j.jmr.2014.04.019</doi><tpages>5</tpages><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 1090-7807 |
ispartof | Journal of magnetic resonance (1997), 2014-08, Vol.245, p.12-16 |
issn | 1090-7807 1096-0856 |
language | eng |
recordid | cdi_pubmedcentral_primary_oai_pubmedcentral_nih_gov_4308052 |
source | MEDLINE; Access via ScienceDirect (Elsevier) |
subjects | Algorithms Amplitudes Density Derivation Electromagnetic Fields Exchange Fictitious fields Formalism Frames High rotating frames Image Enhancement - methods Image Interpretation, Computer-Assisted - methods Magnetic fields Magnetic Resonance Imaging - methods Mathematical analysis Relaxations |
title | Exchange-induced relaxation in the presence of a fictitious field |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-29T10%3A11%3A16IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pubme&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Exchange-induced%20relaxation%20in%20the%20presence%20of%20a%20fictitious%20field&rft.jtitle=Journal%20of%20magnetic%20resonance%20(1997)&rft.au=Sorce,%20Dennis%20J.&rft.date=2014-08-01&rft.volume=245&rft.spage=12&rft.epage=16&rft.pages=12-16&rft.issn=1090-7807&rft.eissn=1096-0856&rft_id=info:doi/10.1016/j.jmr.2014.04.019&rft_dat=%3Cproquest_pubme%3E1793284380%3C/proquest_pubme%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1552373983&rft_id=info:pmid/24911888&rft_els_id=S1090780714001268&rfr_iscdi=true |