{"id":"https://openalex.org/W2570514638","doi":"https://doi.org/10.1137/16m1077659","title":"First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps","display_name":"First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2570514638","doi":"https://doi.org/10.1137/16m1077659","mag":"2570514638"},"language":"en","primary_location":{"id":"doi:10.1137/16m1077659","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1077659","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 & 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/A5072176272","display_name":"Alan E. Lindsay","orcid":"https://orcid.org/0000-0001-8221-8668"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alan E. Lindsay","raw_affiliation_strings":["Department of Applied and Computational Math & Statistics, Notre Dame University, South Bend, IN 46656"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied and Computational Math & Statistics, Notre Dame University, South Bend, IN 46656","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025367520","display_name":"Andrew J. Bernoff","orcid":"https://orcid.org/0000-0001-9443-6320"},"institutions":[{"id":"https://openalex.org/I133543626","display_name":"Harvey Mudd College","ror":"https://ror.org/025ecfn45","country_code":"US","type":"education","lineage":["https://openalex.org/I133543626"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew J. Bernoff","raw_affiliation_strings":["Department of Mathematics, Harvey Mudd College, Claremont, CA 91711"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harvey Mudd College, Claremont, CA 91711","institution_ids":["https://openalex.org/I133543626"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037517718","display_name":"Michael J. Ward","orcid":"https://orcid.org/0000-0001-6959-7202"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michael J. Ward","raw_affiliation_strings":["Department of Mathematics, University of British Columbia, Vancouver, BC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of British Columbia, Vancouver, BC, Canada","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.825,"has_fulltext":false,"cited_by_count":107,"citation_normalized_percentile":{"value":0.94294677,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"15","issue":"1","first_page":"74","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9995999932289124,"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":0.9995999932289124,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.984499990940094,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5515305399894714},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.526993453502655},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.4788893759250641},{"id":"https://openalex.org/keywords/nuclear-pore","display_name":"Nuclear pore","score":0.4478397071361542},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.42042601108551025},{"id":"https://openalex.org/keywords/molecular-physics","display_name":"Molecular physics","score":0.32530805468559265},{"id":"https://openalex.org/keywords/cytoplasm","display_name":"Cytoplasm","score":0.28597038984298706},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.2513299584388733},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17255985736846924}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5515305399894714},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.526993453502655},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.4788893759250641},{"id":"https://openalex.org/C126725582","wikidata":"https://www.wikidata.org/wiki/Q30679","display_name":"Nuclear pore","level":3,"score":0.4478397071361542},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.42042601108551025},{"id":"https://openalex.org/C41999313","wikidata":"https://www.wikidata.org/wiki/Q489328","display_name":"Molecular physics","level":1,"score":0.32530805468559265},{"id":"https://openalex.org/C190062978","wikidata":"https://www.wikidata.org/wiki/Q79899","display_name":"Cytoplasm","level":2,"score":0.28597038984298706},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2513299584388733},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17255985736846924},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/16m1077659","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1077659","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 & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:scholarship.claremont.edu:hmc_fac_pub-2136","is_oa":false,"landing_page_url":"https://scholarship.claremont.edu/hmc_fac_pub/1130","pdf_url":null,"source":{"id":"https://openalex.org/S4306401604","display_name":"Scholarship @ Claremont (The Claremont Colleges)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I872248612","host_organization_name":"Claremont Colleges","host_organization_lineage":["https://openalex.org/I872248612"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"All HMC Faculty Publications and Research","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1407088289","display_name":null,"funder_award_id":"81541","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G3955981144","display_name":"Dynamics, singularities and asymptotics of higher order PDEs","funder_award_id":"1516753","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4739222394","display_name":null,"funder_award_id":"317319","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G6833757255","display_name":null,"funder_award_id":"DMS-1516753","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7362337859","display_name":null,"funder_award_id":"DMS-1516753","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1860963472","https://openalex.org/W1916127968","https://openalex.org/W1978514520","https://openalex.org/W1984887826","https://openalex.org/W1993714108","https://openalex.org/W2017087016","https://openalex.org/W2022993030","https://openalex.org/W2024184910","https://openalex.org/W2027275167","https://openalex.org/W2031042504","https://openalex.org/W2038095741","https://openalex.org/W2041034952","https://openalex.org/W2046933804","https://openalex.org/W2053012879","https://openalex.org/W2062937938","https://openalex.org/W2072929876","https://openalex.org/W2074890393","https://openalex.org/W2076346347","https://openalex.org/W2080170695","https://openalex.org/W2084196626","https://openalex.org/W2090727412","https://openalex.org/W2095542027","https://openalex.org/W2099910260","https://openalex.org/W2104269878","https://openalex.org/W2110109281","https://openalex.org/W2110902335","https://openalex.org/W2113966248","https://openalex.org/W2129180949","https://openalex.org/W2132175179","https://openalex.org/W2141336695","https://openalex.org/W2141542600","https://openalex.org/W2154380517","https://openalex.org/W2156297272","https://openalex.org/W2166643788","https://openalex.org/W2168659464","https://openalex.org/W2313689636","https://openalex.org/W2316616802","https://openalex.org/W2328156255","https://openalex.org/W2468995261","https://openalex.org/W2478801192","https://openalex.org/W3099766978"],"related_works":["https://openalex.org/W1971531897","https://openalex.org/W2061267404","https://openalex.org/W2935467328","https://openalex.org/W2172097982","https://openalex.org/W143698314","https://openalex.org/W2088821899","https://openalex.org/W4211023696","https://openalex.org/W89646412","https://openalex.org/W2151126975","https://openalex.org/W2136931082"],"abstract_inverted_index":{"We":[0],"study":[1,29],"the":[2,41,49,52,55,65,71,88,113,116,140,169,173],"first":[3,39],"passage":[4],"time":[5],"problem":[6,72],"for":[7,112],"a":[8,17,92,108,131,148],"diffusing":[9],"molecule":[10],"in":[11,75,96,164],"an":[12],"enclosed":[13],"region":[14],"to":[15,51,180],"hit":[16],"small":[18,25,99],"spherical":[19],"target":[20,118],"whose":[21],"surface":[22,121,144],"contains":[23],"many":[24],"absorbing":[26,100,171],"traps.":[27],"This":[28],"is":[30,40,70,162],"motivated":[31],"by":[32],"two":[33],"examples":[34],"of":[35,54,73,98,115],"cellular":[36],"transport.":[37],"The":[38,68],"intracellular":[42],"process":[43],"through":[44,57,81,130],"which":[45,76,119,165],"proteins":[46],"transit":[47],"from":[48],"cytosol":[50],"interior":[53],"nucleus":[56],"nuclear":[58,66],"pore":[59,101,175],"complexes":[60],"that":[61],"are":[62],"distributed":[63,86],"on":[64,87,127,168],"surface.":[67],"second":[69],"chemoreception,":[74],"cells":[77],"sense":[78],"their":[79],"surroundings":[80],"diffusive":[82],"contact":[83],"with":[84,135],"receptors":[85],"cell":[89],"exterior.":[90],"Using":[91],"matched":[93],"asymptotic":[94],"analysis":[95],"terms":[97],"radius,":[102],"we":[103],"derive":[104],"and":[105,123,177],"numerically":[106],"verify":[107],"high":[109],"order":[110],"expansion":[111],"capacitance":[114],"structured":[117],"incorporates":[120],"effects":[122],"gives":[124],"explicit":[125],"information":[126],"interpore":[128,181],"interaction":[129],"Coulomb-type":[132],"discrete":[133],"energy":[134],"additional":[136],"logarithmic":[137],"dependencies.":[138],"In":[139],"large":[141],"$N$":[142],"dilute":[143],"trap":[145],"fraction":[146],"limit,":[147],"single":[149],"homogenized":[150],"Robin":[151],"boundary":[152],"condition":[153],"$":[154],"\\partial_n":[155],"v":[156,159],"+":[157],"\\kappa":[158],"=":[160],"0$":[161],"derived":[163],"$\\kappa$":[166],"depends":[167],"total":[170],"fraction,":[172],"characteristic":[174],"scale,":[176],"parameters":[178],"relating":[179],"interactions.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}