{"id":"https://openalex.org/W3036874853","doi":"https://doi.org/10.1137/20m1332396","title":"Optimization of the Mean First Passage Time in Near-Disk and Elliptical Domains in 2-D with Small Absorbing Traps","display_name":"Optimization of the Mean First Passage Time in Near-Disk and Elliptical Domains in 2-D with Small Absorbing Traps","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3036874853","doi":"https://doi.org/10.1137/20m1332396","mag":"3036874853"},"language":"en","primary_location":{"id":"doi:10.1137/20m1332396","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1332396","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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":"SIAM Review","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2006.12722","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050017713","display_name":"Sarafa A. Iyaniwura","orcid":"https://orcid.org/0000-0002-8854-2335"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sarafa A. Iyaniwura","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8854-2335","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017906099","display_name":"Tony Wong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tony Wong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068343828","display_name":"Colin B. Macdonald","orcid":"https://orcid.org/0000-0002-4557-8637"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Colin B. Macdonald","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-4557-8637","affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Michael J. Ward","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael J. Ward","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4885,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.6063827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"63","issue":"3","first_page":"525","last_page":"555"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":1.0,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9781000018119812,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ellipse","display_name":"Ellipse","score":0.886634349822998},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6384023427963257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.58201664686203},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.574811577796936},{"id":"https://openalex.org/keywords/first-hitting-time-model","display_name":"First-hitting-time model","score":0.5492231845855713},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5432218313217163},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5142133235931396},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"Asymptotic analysis","score":0.48243317008018494},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34996676445007324},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.29475492238998413},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2877897322177887}],"concepts":[{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.886634349822998},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6384023427963257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.58201664686203},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.574811577796936},{"id":"https://openalex.org/C186659197","wikidata":"https://www.wikidata.org/wiki/Q5452195","display_name":"First-hitting-time model","level":2,"score":0.5492231845855713},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5432218313217163},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5142133235931396},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.48243317008018494},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34996676445007324},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.29475492238998413},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2877897322177887},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/20m1332396","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1332396","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2006.12722","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.12722","pdf_url":"https://arxiv.org/pdf/2006.12722","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3036874853","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2006.12722.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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.2006.12722","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2006.12722","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.13140/rg.2.2.24003.76329","is_oa":true,"landing_page_url":"https://doi.org/10.13140/rg.2.2.24003.76329","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2006.12722","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.12722","pdf_url":"https://arxiv.org/pdf/2006.12722","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323180","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3036874853.pdf","grobid_xml":"https://content.openalex.org/works/W3036874853.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1976682213","https://openalex.org/W1982911867","https://openalex.org/W1998527589","https://openalex.org/W2000852818","https://openalex.org/W2016999330","https://openalex.org/W2031042504","https://openalex.org/W2046088240","https://openalex.org/W2047898167","https://openalex.org/W2048212809","https://openalex.org/W2053012879","https://openalex.org/W2068985141","https://openalex.org/W2074319891","https://openalex.org/W2074890393","https://openalex.org/W2075241401","https://openalex.org/W2078964366","https://openalex.org/W2088012076","https://openalex.org/W2110902335","https://openalex.org/W2113966248","https://openalex.org/W2114942284","https://openalex.org/W2125467086","https://openalex.org/W2129180949","https://openalex.org/W2137308669","https://openalex.org/W2141542600","https://openalex.org/W2273601133","https://openalex.org/W2402846924","https://openalex.org/W2418210644","https://openalex.org/W2468995261","https://openalex.org/W2570514638","https://openalex.org/W2908412916","https://openalex.org/W2982496310","https://openalex.org/W2991091778"],"related_works":["https://openalex.org/W3104313698","https://openalex.org/W2963609167","https://openalex.org/W2110197905","https://openalex.org/W3194451829","https://openalex.org/W2269484907","https://openalex.org/W2771278911","https://openalex.org/W2952888503","https://openalex.org/W2023931203","https://openalex.org/W2995348858","https://openalex.org/W211896586","https://openalex.org/W1975187610","https://openalex.org/W2222672254","https://openalex.org/W2050316329","https://openalex.org/W2154085620","https://openalex.org/W2110872704","https://openalex.org/W1995297266","https://openalex.org/W2245295625","https://openalex.org/W2092345952","https://openalex.org/W1983846626","https://openalex.org/W3104999970"],"abstract_inverted_index":{"The":[0,29,157],"determination":[1],"of":[2,41,58,79,106,139,149,152,211,233],"the":[3,33,45,67,100,104,112,121,136,140,146,160,164,175,197,208,212,230,238],"mean":[4],"first":[5],"passage":[6],"time":[7,36],"(MFPT)":[8],"for":[9,44,111,120,163,201],"a":[10,14,23,38,50,76,107,123,219],"Brownian":[11],"particle":[12],"in":[13,70],"bounded":[15],"2-D":[16],"domain":[17],"containing":[18],"small":[19,60],"absorbing":[20,63],"traps":[21,64,204],"is":[22,32,131,155,194,205,223],"fundamental":[24],"problem":[25],"with":[26,168],"biophysical":[27],"applications.":[28],"average":[30,68,241],"MFPT":[31,69],"expected":[34],"capture":[35],"assuming":[37],"uniform":[39],"distribution":[40,138],"starting":[42],"points":[43],"random":[46],"walk.":[47],"We":[48],"develop":[49],"hybrid":[51,161],"asymptotic-numerical":[52],"approach":[53,125],"to":[54,98,133,186,227],"predicting":[55],"optimal":[56,141,198,231,240],"configurations":[57],"$m$":[59],"stationary":[61],"circular":[62],"that":[65,196],"minimize":[66],"near-disk":[71,80],"and":[72,116,190,225,237],"elliptical":[73],"domains.":[74],"For":[75,188,214],"general":[77],"class":[78],"domains,":[81],"we":[82],"illustrate":[83],"through":[84],"several":[85],"specific":[86],"examples":[87],"how":[88,135],"simple,":[89],"yet":[90],"highly":[91],"accurate,":[92],"numerical":[93,124,171],"methods":[94],"can":[95],"be":[96],"used":[97,132],"implement":[99],"asymptotic":[101,129,221],"theory.":[102],"From":[103],"derivation":[105],"new":[108],"explicit":[109],"formula":[110],"Neumann":[113],"Green's":[114],"function":[115],"its":[117],"regular":[118],"part":[119],"ellipse,":[122],"based":[126],"on":[127],"our":[128],"theory":[130,162],"investigate":[134],"spatial":[137],"trap":[142,199,235],"locations":[143,232],"changes":[144],"as":[145],"aspect":[147],"ratio":[148],"an":[150],"ellipse":[151,165],"fixed":[153],"area":[154],"varied.":[156],"results":[158,172],"from":[159,174],"are":[166],"compared":[167],"full":[169],"PDE":[170],"computed":[173],"closest":[176],"point":[177],"method":[178],"[S.":[179],"Iyaniwura":[180],"et":[181],"al.,":[182],"Multiscale":[183],"Model.":[184],"Simul.,":[185],"appear].":[187],"long":[189],"thin":[191],"ellipses,":[192],"it":[193],"shown":[195],"pattern":[200],"$m=2,\\ldots,5$":[202],"identical":[203],"collinear":[206,234],"along":[207],"semimajor":[209],"axis":[210],"ellipse.":[213],"such":[215],"essentially":[216],"1-D":[217],"patterns,":[218],"thin-domain":[220],"analysis":[222],"formulated":[224],"implemented":[226],"accurately":[228],"predict":[229],"patterns":[236],"corresponding":[239],"MFPT.":[242]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
