{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:38Z","timestamp":1740134558024,"version":"3.37.3"},"reference-count":51,"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\/501100001321","name":"National Research Foundation","doi-asserted-by":"publisher","award":["2010-0004047"],"award-info":[{"award-number":["2010-0004047"]}],"id":[{"id":"10.13039\/501100001321","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>Diffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. If a priori information of the optical coefficient is known, DOT is reformulated to find a perturbation of the optical coefficients inverting the Born expansion which is an infinite series expansion with respect to the perturbation and the a priori information. Numerical methods for DOT are explained as methods inverting first- or second-order Born approximation or the Born expansion itself.<\/jats:p>","DOI":"10.1155\/2013\/824501","type":"journal-article","created":{"date-parts":[[2013,6,3]],"date-time":"2013-06-03T17:03:01Z","timestamp":1370278981000},"page":"1-5","source":"Crossref","is-referenced-by-count":0,"title":["Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography"],"prefix":"10.1155","volume":"2013","author":[{"given":"Kiwoon","family":"Kwon","sequence":"first","affiliation":[{"name":"Department of Mathematics, Dongguk University, Seoul 100-715, Republic of Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"2","key":"2","volume":"10","year":"2005","journal-title":"Journal of biomedical optics"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1364\/OL.30.002915"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.040570597"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2005.05.052"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2003.09.040"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2006.11.005"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1088\/1741-2560\/4\/3\/007"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1117\/1.429998"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.neulet.2003.10.001"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3940(00)00874-0"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2006.02.038"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1117\/1.2737420"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/48\/10\/311"},{"issue":"8","key":"15","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1097\/01.WCB.0000076703.71231.BB","volume":"23","year":"2003","journal-title":"Journal of Cerebral Blood Flow and Metabolism"},{"issue":"11","key":"16","doi-asserted-by":"crossref","first-page":"882","DOI":"10.1364\/OL.23.000882","volume":"23","year":"1998","journal-title":"Optics Letters"},{"key":"17","series-title":"Grundlehren der Mathematischen Wissenschaften","first-page":"xiii+513","volume":"224","year":"1983"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.07.088"},{"first-page":"xii+370","year":"1970","series-title":"Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 2","key":"19"},{"key":"20","series-title":"Applied Mathematical Sciences","first-page":"xii+334","volume":"93","year":"1998"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1080\/03605309908820737"},{"issue":"2","key":"22","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1088\/0266-5611\/9\/2\/009","volume":"9","year":"1993","journal-title":"Inverse Problems"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.2307\/1971291"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/20\/4\/008"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/18\/3\/315"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/14\/6\/014"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1216\/jiea\/1181074315"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/15\/2\/010"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1007\/s002200050509"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/12\/2\/003"},{"key":"31"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/24\/6\/065005"},{"key":"33","first-page":"1","volume":"25","year":"2009","journal-title":"Inverse Problems"},{"key":"34","series-title":"Applied Mathematical Sciences","first-page":"xvi+339","volume":"160","year":"2005"},{"key":"35","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/23\/3\/017"},{"key":"36","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/15\/2\/022"},{"key":"37","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1090\/qam\/10666","volume":"2","year":"1944","journal-title":"Quarterly of Applied Mathematics"},{"volume":"26","journal-title":"IEEE Transactions of Circuits and Systems","year":"1979","key":"38"},{"key":"41","doi-asserted-by":"publisher","DOI":"10.1002\/cnm.1162"},{"key":"43","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/22\/5\/002"},{"key":"44","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/23\/3\/018"},{"key":"45","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/25\/9\/095007"},{"key":"46","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/637209"},{"key":"47","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.18.001336"},{"issue":"3","key":"48","doi-asserted-by":"crossref","first-page":"558","DOI":"10.1364\/JOSAA.19.000558","volume":"19","year":"2002","journal-title":"Journal of the Optical Society of America A: Optics and Image Science, and Vision"},{"issue":"5","key":"49","doi-asserted-by":"crossref","first-page":"890","DOI":"10.1364\/JOSAA.20.000890","volume":"20","year":"2003","journal-title":"Journal of the Optical Society of America A: Optics and Image Science, and Vision"},{"issue":"5","key":"50","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1364\/JOSAA.20.000903","volume":"20","year":"2003","journal-title":"Journal of the Optical Society of America A: Optics and Image Science, and Vision"},{"key":"51","doi-asserted-by":"publisher","DOI":"10.1016\/0169-2607(95)01640-F"},{"key":"52","doi-asserted-by":"publisher","DOI":"10.1007\/s10103-008-0625-4"},{"key":"53","doi-asserted-by":"publisher","DOI":"10.1117\/1.1587730"},{"key":"54","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1451"},{"key":"55","first-page":"2013","volume":"2","year":"2002","journal-title":"Medical Physics"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/824501.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/824501.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/824501.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,14]],"date-time":"2019-07-14T09:21:13Z","timestamp":1563096073000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/824501\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":51,"alternative-id":["824501","824501"],"URL":"https:\/\/doi.org\/10.1155\/2013\/824501","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}