{"id":"https://openalex.org/W2152661059","doi":"https://doi.org/10.1137/040612464","title":"A Two-Dimensional Nonlinear Nonlocal Feed-Forward Cochlear Model and Time Domain Computation of Multitone Interactions","display_name":"A Two-Dimensional Nonlinear Nonlocal Feed-Forward Cochlear Model and Time Domain Computation of Multitone Interactions","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2152661059","doi":"https://doi.org/10.1137/040612464","mag":"2152661059"},"language":"en","primary_location":{"id":"doi:10.1137/040612464","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040612464","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5085313743","display_name":"Yongsam Kim","orcid":"https://orcid.org/0000-0001-9721-7924"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yongsam Kim","raw_affiliation_strings":["University of Texas at Austin"],"affiliations":[{"raw_affiliation_string":"University of Texas at Austin","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059708262","display_name":"Jack Xin","orcid":"https://orcid.org/0000-0002-6438-8476"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jack Xin","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085313743"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":null,"apc_paid":null,"fwci":0.5733,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.6620759,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"4","issue":"2","first_page":"664","last_page":"690"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10283","display_name":"Hearing Loss and Rehabilitation","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10283","display_name":"Hearing Loss and Rehabilitation","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.9998000264167786,"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/T10334","display_name":"Hearing, Cochlea, Tinnitus, Genetics","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2809","display_name":"Sensory Systems"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6980786323547363},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5624898076057434},{"id":"https://openalex.org/keywords/time-domain","display_name":"Time domain","score":0.4954270124435425},{"id":"https://openalex.org/keywords/eigenfunction","display_name":"Eigenfunction","score":0.48983046412467957},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.467357873916626},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4487888514995575},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44808968901634216},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.43421316146850586},{"id":"https://openalex.org/keywords/basilar-membrane","display_name":"Basilar membrane","score":0.42435187101364136},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4134308993816376},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38229459524154663},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32447826862335205},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2070167362689972},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13763156533241272},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1096104085445404}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6980786323547363},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5624898076057434},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.4954270124435425},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.48983046412467957},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.467357873916626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4487888514995575},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44808968901634216},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.43421316146850586},{"id":"https://openalex.org/C2780807236","wikidata":"https://www.wikidata.org/wiki/Q3503790","display_name":"Basilar membrane","level":3,"score":0.42435187101364136},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4134308993816376},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38229459524154663},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32447826862335205},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2070167362689972},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13763156533241272},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1096104085445404},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2780130748","wikidata":"https://www.wikidata.org/wiki/Q317857","display_name":"Cochlea","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/040612464","is_oa":false,"landing_page_url":"https://doi.org/10.1137/040612464","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.521.2141","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.521.2141","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uci.edu/~jxin/kim_xin_mms.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8700000047683716,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309398","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W80597065","https://openalex.org/W114022852","https://openalex.org/W157446511","https://openalex.org/W1480485976","https://openalex.org/W1511620274","https://openalex.org/W1531701297","https://openalex.org/W1575566382","https://openalex.org/W1905789272","https://openalex.org/W1965168990","https://openalex.org/W1968642437","https://openalex.org/W1969126167","https://openalex.org/W1970869114","https://openalex.org/W1984275048","https://openalex.org/W1999698136","https://openalex.org/W2021513670","https://openalex.org/W2023697572","https://openalex.org/W2023699591","https://openalex.org/W2028120254","https://openalex.org/W2037976268","https://openalex.org/W2043843997","https://openalex.org/W2045282332","https://openalex.org/W2045690292","https://openalex.org/W2047165981","https://openalex.org/W2056541271","https://openalex.org/W2057220024","https://openalex.org/W2061605473","https://openalex.org/W2064619620","https://openalex.org/W2069460247","https://openalex.org/W2079058483","https://openalex.org/W2099234575","https://openalex.org/W2111954478","https://openalex.org/W2134268091","https://openalex.org/W2137453923","https://openalex.org/W2138708592","https://openalex.org/W2157316037","https://openalex.org/W2166957052","https://openalex.org/W2331108513","https://openalex.org/W2482071863","https://openalex.org/W3023285833","https://openalex.org/W3121156890","https://openalex.org/W4247091158"],"related_works":["https://openalex.org/W1971971342","https://openalex.org/W2361564635","https://openalex.org/W2747352207","https://openalex.org/W2039999274","https://openalex.org/W2789707857","https://openalex.org/W2356318269","https://openalex.org/W1983120907","https://openalex.org/W2008732009","https://openalex.org/W1990244060","https://openalex.org/W3161600269"],"abstract_inverted_index":{"A":[0,83,153],"two-dimensional":[1],"cochlear":[2],"model":[3,29,39],"is":[4,66,94,132,157,178,235],"presented,":[5],"which":[6],"couples":[7],"the":[8,16,38,69,73,77,81,98,102,105,111,125,128,149,165,168,172,190,199],"classical":[9],"second":[10,87],"order":[11,50,88],"partial":[12],"differential":[13],"equations":[14],"of":[15,72,86,107,127,141,167,171,208],"basilar":[17],"membrane":[18],"(BM)":[19],"with":[20,104,114,163,182,232],"a":[21,45,60,136,139,142,195],"discrete":[22],"feed-forward":[23],"(FF)":[24],"outer":[25],"hair":[26],"cell":[27],"(OHC)":[28],"for":[30,213],"enhanced":[31],"sensitivity.":[32],"The":[33,63,175],"enhancement":[34],"(gain)":[35],"factor":[36],"in":[37,44,49,59,75,90,189,198],"depends":[40],"on":[41,68,205],"BM":[42,103,209],"displacement":[43],"nonlinear":[46,112,200,218],"nonlocal":[47],"manner":[48],"to":[51,101,134,161],"capture":[52],"multifrequency":[53],"sound":[54],"interactions":[55,220],"and":[56,92,148,159,193,217,227],"compression":[57],"effects":[58],"time-dependent":[61,151,176],"simulation.":[62],"FF":[64,129],"mechanism":[65],"based":[67],"longitudinal":[70],"tilt":[71],"OHCs":[74,115],"feeding":[76],"mechanical":[78],"energy":[79],"onto":[80],"BM.":[82],"numerical":[84],"method":[85,156],"accuracy":[89],"space":[91],"time":[93,123],"formulated":[95],"by":[96,180,194],"reducing":[97],"unknown":[99],"variables":[100],"representation":[106],"eigenfunction":[108],"expansions.":[109],"Though":[110],"coupling":[113],"created":[116],"an":[117],"implicit":[118],"algebraic":[119],"problem":[120],"at":[121],"each":[122],"step,":[124],"structure":[126],"mass":[130,173],"matrix":[131],"found":[133],"permit":[135],"decomposition":[137],"into":[138],"sum":[140],"time-independent":[143,169],"symmetric":[144],"positive":[145],"definite":[146],"part":[147,170],"remaining":[150],"part.":[152],"fast":[154],"iterative":[155],"devised":[158],"shown":[160,204],"converge":[162],"only":[164],"inversion":[166],"matrix.":[174],"computation":[177],"studied":[179],"comparing":[181],"steady":[183],"state":[184],"solutions":[185],"(frequency":[186],"domain":[187],"solutions)":[188],"linear":[191],"regime":[192],"convergence":[196],"study":[197],"regime.":[201],"Results":[202],"are":[203],"OHC":[206],"amplification":[207],"responses,":[210],"compressive":[211],"output":[212],"large":[214],"intensity":[215],"input,":[216],"multitone":[219],"such":[221],"as":[222],"tonal":[223],"suppression,":[224,226],"noise":[225],"distortion":[228],"products.":[229],"Qualitative":[230],"agreement":[231],"experimental":[233],"data":[234],"observed.":[236]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
