{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T15:31:13Z","timestamp":1746804673705,"version":"3.40.5"},"reference-count":31,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"publisher","award":["2010-0022398","2012R1A1A2009509"],"award-info":[{"award-number":["2010-0022398","2012R1A1A2009509"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"publisher","award":["2010-0022398","2012R1A1A2009509"],"award-info":[{"award-number":["2010-0022398","2012R1A1A2009509"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods in Medicine"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>Magnetic resonance electrical impedance tomography (MREIT) measures magnetic flux density signals through the use of a magnetic resonance imaging (MRI) in order to visualize the internal conductivity and\/or current density. Understanding the reconstruction procedure for the internal current density, we directly measure the second derivative of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:msub><mml:mi>B<\/mml:mi><mml:mi>z<\/mml:mi><\/mml:msub><\/mml:mrow><\/mml:math>data from the measured<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>k<\/mml:mi><\/mml:mrow><\/mml:math>-space data, from which we can avoid a tedious phase unwrapping to obtain the phase signal of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:msub><mml:mi>B<\/mml:mi><mml:mi>z<\/mml:mi><\/mml:msub><\/mml:mrow><\/mml:math>. We determine optimal weighting factors to combine the derivatives of magnetic flux density data,<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mrow><mml:msup><mml:mo>\u2207<\/mml:mo><mml:mn>2<\/mml:mn><\/mml:msup><mml:msub><mml:mi>B<\/mml:mi><mml:mi>z<\/mml:mi><\/mml:msub><\/mml:mrow><\/mml:math>, measured using the multi-echo train. The proposed method reconstructs the internal current density using the relationships between the induced internal current and the measured<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mrow><mml:msup><mml:mo>\u2207<\/mml:mo><mml:mn>2<\/mml:mn><\/mml:msup><mml:msub><mml:mi>B<\/mml:mi><mml:mi>z<\/mml:mi><\/mml:msub><\/mml:mrow><\/mml:math>data. Results from a phantom experiment demonstrate that the proposed method reduces the scanning time and provides the internal current density, while suppressing the background field inhomogeneity. To implement the real experiment, we use a phantom with a saline solution including a balloon, which excludes other artifacts by any concentration gradient in the phantom.<\/jats:p>","DOI":"10.1155\/2013\/381507","type":"journal-article","created":{"date-parts":[[2013,3,20]],"date-time":"2013-03-20T17:00:54Z","timestamp":1363798854000},"page":"1-9","source":"Crossref","is-referenced-by-count":3,"title":["Current Density Imaging Using Directly Measured Harmonic<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msub><mml:mi>B<\/mml:mi><mml:mi>z<\/mml:mi><\/mml:msub><\/mml:mrow><\/mml:math>Data in MREIT"],"prefix":"10.1155","volume":"2013","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0721-1778","authenticated-orcid":true,"given":"Chunjae","family":"Park","sequence":"first","affiliation":[{"name":"Department of Mathematics, Konkuk University, Seoul 143-701, Republic of Korea"}]},{"given":"Oh 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