{"id":"https://openalex.org/W2017380396","doi":"https://doi.org/10.1109/embc.2013.6610523","title":"On the least-square estimation of parameters for statistical diffusion weighted imaging model","display_name":"On the least-square estimation of parameters for statistical diffusion weighted imaging model","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2017380396","doi":"https://doi.org/10.1109/embc.2013.6610523","mag":"2017380396","pmid":"https://pubmed.ncbi.nlm.nih.gov/24110710"},"language":"en","primary_location":{"id":"doi:10.1109/embc.2013.6610523","is_oa":false,"landing_page_url":"https://doi.org/10.1109/embc.2013.6610523","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023905379","display_name":"Jing Yuan","orcid":"https://orcid.org/0000-0001-8112-3608"},"institutions":[{"id":"https://openalex.org/I4210105229","display_name":"City University of Hong Kong, Shenzhen Research Institute","ror":"https://ror.org/00xc0ma20","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210105229"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]},{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN","HK"],"is_corresponding":true,"raw_author_name":"Jing Yuan","raw_affiliation_strings":["CUHK Shenzhen Research Institute, Guangdong, China","Dept. of Imaging & Interventional Radiol., Chinese Univ. of Hong Kong, Shatin, China"],"affiliations":[{"raw_affiliation_string":"CUHK Shenzhen Research Institute, Guangdong, China","institution_ids":["https://openalex.org/I4210105229","https://openalex.org/I889458895"]},{"raw_affiliation_string":"Dept. of Imaging & Interventional Radiol., Chinese Univ. of Hong Kong, Shatin, China","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071239747","display_name":"Qinwei Zhang","orcid":"https://orcid.org/0000-0002-1777-8164"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qinwei Zhang","raw_affiliation_strings":["Department of Imaging and Interventional Radiology, The Chinese University of Hong Kong, Shatin, Hong Kong, China","Dept. of Imaging & Interventional Radiol., Chinese Univ. of Hong Kong, Shatin, China"],"affiliations":[{"raw_affiliation_string":"Department of Imaging and Interventional Radiology, The Chinese University of Hong Kong, Shatin, Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Dept. of Imaging & Interventional Radiol., Chinese Univ. of Hong Kong, Shatin, China","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023905379"],"corresponding_institution_ids":["https://openalex.org/I177725633","https://openalex.org/I4210105229","https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":0.5163,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69336656,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"2","issue":null,"first_page":"4406","last_page":"4409"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11885","display_name":"MRI in cancer diagnosis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10378","display_name":"Advanced MRI Techniques and Applications","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.6107656955718994},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.5820415019989014},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.523510754108429},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49907517433166504},{"id":"https://openalex.org/keywords/statistical-model","display_name":"Statistical model","score":0.4756607413291931},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4586283266544342},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44957953691482544},{"id":"https://openalex.org/keywords/diffusion-mri","display_name":"Diffusion MRI","score":0.44679075479507446},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4451954960823059},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.4419514834880829},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.4405054450035095},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4027334153652191},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36493226885795593},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2938147187232971},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2252601683139801},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19353216886520386},{"id":"https://openalex.org/keywords/magnetic-resonance-imaging","display_name":"Magnetic resonance imaging","score":0.09317892789840698}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.6107656955718994},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.5820415019989014},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.523510754108429},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49907517433166504},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.4756607413291931},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4586283266544342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44957953691482544},{"id":"https://openalex.org/C149550507","wikidata":"https://www.wikidata.org/wiki/Q899360","display_name":"Diffusion MRI","level":3,"score":0.44679075479507446},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4451954960823059},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.4419514834880829},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.4405054450035095},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4027334153652191},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36493226885795593},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2938147187232971},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2252601683139801},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19353216886520386},{"id":"https://openalex.org/C143409427","wikidata":"https://www.wikidata.org/wiki/Q161238","display_name":"Magnetic resonance imaging","level":2,"score":0.09317892789840698},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000473","qualifier_name":"pathology","is_major_topic":false},{"descriptor_ui":"D001931","descriptor_name":"Brain Mapping","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D001931","descriptor_name":"Brain Mapping","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D001931","descriptor_name":"Brain Mapping","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016018","descriptor_name":"Least-Squares Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016018","descriptor_name":"Least-Squares Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016018","descriptor_name":"Least-Squares Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D038524","descriptor_name":"Diffusion Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D038524","descriptor_name":"Diffusion Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D038524","descriptor_name":"Diffusion Magnetic Resonance Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D059629","descriptor_name":"Signal-To-Noise Ratio","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D059629","descriptor_name":"Signal-To-Noise Ratio","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D059629","descriptor_name":"Signal-To-Noise Ratio","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1109/embc.2013.6610523","is_oa":false,"landing_page_url":"https://doi.org/10.1109/embc.2013.6610523","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC)","raw_type":"proceedings-article"},{"id":"pmid:24110710","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24110710","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/6","score":0.7599999904632568,"display_name":"Clean water and sanitation"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1970978975","https://openalex.org/W1979530620","https://openalex.org/W1989876788","https://openalex.org/W1990711988","https://openalex.org/W2039785146","https://openalex.org/W2084761689","https://openalex.org/W2116823839","https://openalex.org/W2120862100","https://openalex.org/W2129996649","https://openalex.org/W2139794744","https://openalex.org/W2141805326","https://openalex.org/W2171038012","https://openalex.org/W6681019232"],"related_works":["https://openalex.org/W2375684291","https://openalex.org/W2354676191","https://openalex.org/W3188646203","https://openalex.org/W136674370","https://openalex.org/W4246278799","https://openalex.org/W2909957174","https://openalex.org/W2105527480","https://openalex.org/W2052387497","https://openalex.org/W1952484348","https://openalex.org/W2151952539"],"abstract_inverted_index":{"Statistical":[0],"model":[1,51],"for":[2,9,18,25,48,81,111],"diffusion-weighted":[3],"imaging":[4],"(DWI)":[5],"has":[6],"been":[7],"proposed":[8],"better":[10],"tissue":[11],"characterization":[12],"by":[13,67,150],"introducing":[14],"a":[15],"distribution":[16,59,64,144,164],"function":[17,171],"apparent":[19],"diffusion":[20,32],"coefficients":[21],"(ADC)":[22],"to":[23,30,109,163],"account":[24],"the":[26,39,44,56,63,87,112,141,157,170,174],"restrictions":[27],"and":[28,41,62,121,135],"hindrances":[29],"water":[31],"in":[33,43,126,137,140,169],"biological":[34],"tissues.":[35],"This":[36],"paper":[37],"studies":[38],"precision":[40],"uncertainty":[42],"estimation":[45,142,148],"of":[46,58,93,115,125,143,159,173],"parameters":[47],"statistical":[49,176],"DWI":[50,94,117,160,177],"with":[52],"Gaussian":[53],"distribution,":[54],"i.e.":[55],"position":[57],"maxima":[60],"(Dm)":[61],"width":[65,145,165],"(\u03c3),":[66],"using":[68,151],"non-linear":[69],"least-square":[70],"(NLLS)":[71],"fitting.":[72],"Numerical":[73],"simulation":[74],"shows":[75],"that":[76],"precise":[77],"parameter":[78,123],"estimation,":[79],"particularly":[80],"\u03c3,":[82,166],"imposes":[83],"critical":[84],"requirements":[85],"on":[86],"extremely":[88,103],"high":[89,104],"signal-to-noise":[90],"ratio":[91],"(SNR)":[92],"signal":[95,161],"when":[96],"NLLS":[97,152],"fitting":[98,153],"is":[99],"used.":[100],"Unfortunately,":[101],"such":[102],"SNR":[105],"may":[106],"be":[107],"difficult":[108],"achieve":[110],"normal":[113],"setting":[114],"clinical":[116],"scan.":[118],"For":[119],"Dm":[120],"\u03c3":[122],"mapping":[124],"vivo":[127],"human":[128],"brain,":[129],"multiple":[130],"local":[131],"minima":[132],"are":[133],"found":[134],"result":[136],"large":[138],"uncertainties":[139],"\u03c3.":[146],"The":[147],"error":[149],"originates":[154],"primarily":[155],"from":[156],"insensitivity":[158],"intensity":[162],"as":[167],"given":[168],"form":[172],"Gaussian-type":[175],"model.":[178]},"counts_by_year":[{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}