{"id":"https://openalex.org/W2081925318","doi":"https://doi.org/10.1615/critrevbiomedeng.2014010845","title":"Approaches for Modeling Magnetic Nanoparticle Dynamics","display_name":"Approaches for Modeling Magnetic Nanoparticle Dynamics","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2081925318","doi":"https://doi.org/10.1615/critrevbiomedeng.2014010845","mag":"2081925318","pmid":"https://pubmed.ncbi.nlm.nih.gov/25271360","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/4183932"},"language":"en","primary_location":{"id":"doi:10.1615/critrevbiomedeng.2014010845","doi":"https://doi.org/10.1615/critrevbiomedeng.2014010845","is_oa":false,"landing_page_url":"https://doi.org/10.1615/critrevbiomedeng.2014010845","pdf_url":null,"source":{"id":"https://openalex.org/S35456954","display_name":"Critical Reviews in Biomedical Engineering","issn_l":"0278-940X","issn":["0278-940X","1943-619X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","medline","norway-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310315730","host_organization_name":"Begell House","host_organization_lineage":["https://openalex.org/P4310315730"],"host_organization_lineage_names":["Begell House"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Critical Reviews in Biomedical Engineering","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4183932","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087521111","display_name":"Daniel B. Reeves","orcid":"https://orcid.org/0000-0001-5684-9538","observed_orcids":["https://orcid.org/0000-0001-5684-9538"]},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel B. Reeves","raw_affiliation_strings":["Department of Physics and Astronomy, 6127 Wilder Hall, Dartmouth College, Hanover NH, 03755"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, 6127 Wilder Hall, Dartmouth College, Hanover NH, 03755","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037494723","display_name":"John B. Weaver","orcid":"https://orcid.org/0000-0003-0054-2486","observed_orcids":["https://orcid.org/0000-0003-0054-2486"]},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]},{"id":"https://openalex.org/I1289422878","display_name":"Dartmouth\u2013Hitchcock Medical Center","ror":"https://ror.org/00d1dhh09","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I107672454","https://openalex.org/I1289422878","https://openalex.org/I4390039337"]},{"id":"https://openalex.org/I4390039337","display_name":"Dartmouth Health","ror":"https://ror.org/01pa9ed26","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I107672454","https://openalex.org/I4390039337"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John B. Weaver","raw_affiliation_strings":["Department of Physics and Astronomy, 6127 Wilder Hall, Dartmouth College, Hanover NH, 03755; Department of Radiology, Dartmouth Hitchcock Medical Center, Hanover, New Hampshire","Department of Physics and Astronomy, 6127 Wilder Hall, Dartmouth College, Hanover NH, 03755","Department of Radiology, Dartmouth Hitchcock Medical Center, Hanover, New Hampshire"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, 6127 Wilder Hall, Dartmouth College, Hanover NH, 03755; Department of Radiology, Dartmouth Hitchcock Medical Center, Hanover, New Hampshire","institution_ids":["https://openalex.org/I107672454","https://openalex.org/I1289422878"]},{"raw_affiliation_string":"Department of Physics and Astronomy, 6127 Wilder Hall, Dartmouth College, Hanover NH, 03755","institution_ids":["https://openalex.org/I107672454"]},{"raw_affiliation_string":"Department of Radiology, Dartmouth Hitchcock Medical Center, Hanover, New Hampshire","institution_ids":["https://openalex.org/I1289422878","https://openalex.org/I4390039337"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087521111"],"corresponding_institution_ids":["https://openalex.org/I107672454"],"apc_list":null,"apc_paid":null,"fwci":1.7907,"has_fulltext":true,"cited_by_count":48,"citation_normalized_percentile":{"value":0.83541329,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"42","issue":"1","first_page":"85","last_page":"93"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12405","display_name":"Characterization and Applications of Magnetic Nanoparticles","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12405","display_name":"Characterization and Applications of Magnetic Nanoparticles","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11786","display_name":"Geomagnetism and Paleomagnetism Studies","score":0.0017999999690800905,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10612","display_name":"Magnetism in coordination complexes","score":0.0010000000474974513,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/magnetic-nanoparticles","display_name":"magnetic nanoparticles","score":0.9919999837875366},{"id":"https://openalex.org/keywords/magnetization-dynamics","display_name":"magnetization dynamics","score":0.9459999799728394},{"id":"https://openalex.org/keywords/brownian-relaxation","display_name":"Brownian relaxation","score":0.8619999885559082},{"id":"https://openalex.org/keywords/neel-relaxation","display_name":"N\u00e9el relaxation","score":0.8529999852180481},{"id":"https://openalex.org/keywords/stoner-wohlfarth-model","display_name":"Stoner-Wohlfarth model","score":0.9810000061988831},{"id":"https://openalex.org/keywords/thermal-fluctuations","display_name":"thermal fluctuations","score":0.925000011920929},{"id":"https://openalex.org/keywords/fokker-planck-equation","display_name":"Fokker-Planck equation","score":0.953000009059906},{"id":"https://openalex.org/keywords/langevin-equation","display_name":"Langevin equation","score":1.0},{"id":"https://openalex.org/keywords/stochastic-modeling","display_name":"stochastic modeling","score":0.578000009059906},{"id":"https://openalex.org/keywords/mri-contrast-agents","display_name":"MRI contrast agents","score":0.5130000114440918},{"id":"https://openalex.org/keywords/magnetic-drug-targeting","display_name":"magnetic drug delivery","score":0.46299999952316284}],"concepts":[{"id":"https://openalex.org/C130603088","wikidata":"https://www.wikidata.org/wiki/Q4976526","display_name":"Brownian dynamics","level":3,"score":0.7413825988769531},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6808191537857056},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.6716041564941406},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6238473653793335},{"id":"https://openalex.org/C2777577648","wikidata":"https://www.wikidata.org/wiki/Q584537","display_name":"Langevin equation","level":2,"score":0.6164132356643677},{"id":"https://openalex.org/C188641701","wikidata":"https://www.wikidata.org/wiki/Q371162","display_name":"Brillouin and Langevin functions","level":4,"score":0.6108515858650208},{"id":"https://openalex.org/C87023908","wikidata":"https://www.wikidata.org/wiki/Q3870166","display_name":"Magnetic nanoparticles","level":3,"score":0.5337273478507996},{"id":"https://openalex.org/C2780004032","wikidata":"https://www.wikidata.org/wiki/Q6485978","display_name":"Langevin dynamics","level":2,"score":0.5239303708076477},{"id":"https://openalex.org/C2778381111","wikidata":"https://www.wikidata.org/wiki/Q6731632","display_name":"Magnetization dynamics","level":4,"score":0.5147824287414551},{"id":"https://openalex.org/C69123182","wikidata":"https://www.wikidata.org/wiki/Q891766","display_name":"Fokker\u2013Planck equation","level":3,"score":0.4464954137802124},{"id":"https://openalex.org/C5637370","wikidata":"https://www.wikidata.org/wiki/Q402478","display_name":"Thermal fluctuations","level":2,"score":0.44371578097343445},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4413520097732544},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4236205518245697},{"id":"https://openalex.org/C32546565","wikidata":"https://www.wikidata.org/wiki/Q856711","display_name":"Magnetization","level":3,"score":0.3967417776584625},{"id":"https://openalex.org/C155672457","wikidata":"https://www.wikidata.org/wiki/Q61231","display_name":"Nanoparticle","level":2,"score":0.39652952551841736},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.37325653433799744},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.1860790252685547},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.11439290642738342},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07005122303962708},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008956","descriptor_name":"Models, Chemical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D010316","descriptor_name":"Particle Size","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":true},{"descriptor_ui":"D058185","descriptor_name":"Magnetite Nanoparticles","qualifier_ui":"Q000528","qualifier_name":"radiation effects","is_major_topic":false},{"descriptor_ui":"D058185","descriptor_name":"Magnetite Nanoparticles","qualifier_ui":"Q000648","qualifier_name":"ultrastructure","is_major_topic":true},{"descriptor_ui":"D058185","descriptor_name":"Magnetite Nanoparticles","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":true},{"descriptor_ui":"D060526","descriptor_name":"Magnetic Fields","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":6,"locations":[{"id":"doi:10.1615/critrevbiomedeng.2014010845","doi":"https://doi.org/10.1615/critrevbiomedeng.2014010845","is_oa":false,"landing_page_url":"https://doi.org/10.1615/critrevbiomedeng.2014010845","pdf_url":null,"source":{"id":"https://openalex.org/S35456954","display_name":"Critical Reviews in Biomedical Engineering","issn_l":"0278-940X","issn":["0278-940X","1943-619X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","medline","norway-1","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310315730","host_organization_name":"Begell House","host_organization_lineage":["https://openalex.org/P4310315730"],"host_organization_lineage_names":["Begell House"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Critical Reviews in Biomedical Engineering","raw_type":"journal-article"},{"id":"pmid:25271360","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25271360","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,"listed_in":[],"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":"Critical reviews in biomedical engineering","raw_type":"Journal Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:4183932","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4183932","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Crit Rev Biomed Eng","raw_type":"Text"},{"id":"pmh:oai:arXiv.org:1505.02450","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.02450","pdf_url":"https://arxiv.org/pdf/1505.02450","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2950891244","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1505.02450.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1505.02450","doi":"https://doi.org/10.48550/arxiv.1505.02450","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1505.02450","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:4183932","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4183932","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Crit Rev Biomed Eng","raw_type":"Text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2229219687","display_name":"Dartmouth Center for Cancer Nanotechnology Excellence","funder_award_id":"U54CA151662","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"},{"id":"https://openalex.org/G9000859653","display_name":"Cancer Center Support Grant","funder_award_id":"P30CA023108","funder_id":"https://openalex.org/F4320337351","funder_display_name":"National Cancer Institute"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337351","display_name":"National Cancer Institute","ror":"https://ror.org/040gcmg81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2081925318.pdf","grobid_xml":"https://content.openalex.org/works/W2081925318.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1489233729","https://openalex.org/W1557466162","https://openalex.org/W1968634330","https://openalex.org/W1976962685","https://openalex.org/W1980122435","https://openalex.org/W1983277479","https://openalex.org/W1992364959","https://openalex.org/W2011393643","https://openalex.org/W2012520169","https://openalex.org/W2017984976","https://openalex.org/W2018648183","https://openalex.org/W2033359620","https://openalex.org/W2075112263","https://openalex.org/W2077526930","https://openalex.org/W2078483447","https://openalex.org/W2092609657","https://openalex.org/W2095316411","https://openalex.org/W2096665649","https://openalex.org/W2101697338","https://openalex.org/W2105336325","https://openalex.org/W2107248349","https://openalex.org/W2107971449","https://openalex.org/W2114620534","https://openalex.org/W2147175942","https://openalex.org/W2151752675","https://openalex.org/W2152135475","https://openalex.org/W2162488624","https://openalex.org/W2328778399"],"related_works":["https://openalex.org/W4384818409","https://openalex.org/W3036400695","https://openalex.org/W2092609657","https://openalex.org/W2950063754","https://openalex.org/W4200405063","https://openalex.org/W7213921259","https://openalex.org/W2610102190","https://openalex.org/W1988376796","https://openalex.org/W2911992167","https://openalex.org/W2521735880"],"abstract_inverted_index":{"Magnetic":[0],"nanoparticles":[1],"are":[2,30],"useful":[3],"biological":[4],"probes":[5],"as":[6,8,24,26],"well":[7,25],"therapeutic":[9],"agents.":[10],"Several":[11],"approaches":[12,52,87],"have":[13],"been":[14],"used":[15],"to":[16,88],"model":[17],"nanoparticle":[18],"magnetization":[19],"dynamics":[20],"for":[21],"both":[22],"Brownian":[23],"Neel":[27],"rotation.":[28],"Magnetizations":[29],"often":[31],"of":[32],"interest":[33],"and":[34,50],"can":[35,59,81],"be":[36,60,82],"compared":[37],"with":[38],"experimental":[39],"results.":[40],"Here":[41],"we":[42],"summarize":[43],"these":[44,85],"approaches,":[45],"including":[46,53],"the":[47],"Stoner-Wohlfarth":[48],"approach":[49,66],"stochastic":[51,71],"thermal":[54],"fluctuations.":[55],"Non-equilibrium-related":[56],"temperature":[57],"effects":[58],"described":[61],"by":[62],"a":[63,70],"distribution":[64],"function":[65],"(Fokker-Planck":[67],"equation)":[68],"or":[69],"differential":[72],"equation":[73],"(Langevin":[74],"equation).":[75],"Approximate":[76],"models":[77],"in":[78],"several":[79],"regimes":[80],"derived":[83],"from":[84],"general":[86],"simplify":[89],"implementation.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}