{"id":"https://openalex.org/W3098670159","doi":"https://doi.org/10.1137/17m1156824","title":"Analysis of Nonprocessive Molecular Motor Transport Using Renewal Reward Theory","display_name":"Analysis of Nonprocessive Molecular Motor Transport Using Renewal Reward Theory","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W3098670159","doi":"https://doi.org/10.1137/17m1156824","mag":"3098670159"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1156824","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/1711.04852","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036077055","display_name":"Christopher E. Miles","orcid":"https://orcid.org/0000-0001-5494-403X"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher E. Miles","raw_affiliation_strings":["Department of Mathematics, University of Utah, Salt Lake City, UT 84112 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Utah, Salt Lake City, UT 84112 USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001461789","display_name":"Sean D. Lawley","orcid":"https://orcid.org/0000-0003-2208-026X"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sean D. Lawley","raw_affiliation_strings":["Department of Mathematics, University of Utah, Salt Lake City, UT 84112 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Utah, Salt Lake City, UT 84112 USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071828704","display_name":"James P. Keener","orcid":"https://orcid.org/0000-0001-9216-4157"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James P. Keener","raw_affiliation_strings":["Departments of Mathematics and Bioengineering, University of Utah, Salt Lake City, UT 84112 USA"],"affiliations":[{"raw_affiliation_string":"Departments of Mathematics and Bioengineering, University of Utah, Salt Lake City, UT 84112 USA","institution_ids":["https://openalex.org/I223532165"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.869,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":16,"citation_normalized_percentile":{"value":0.814524,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":90},"biblio":{"volume":"78","issue":"5","first_page":"2511","last_page":"2532"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10913","display_name":"Molecular Junctions and Nanostructures","score":0.9987,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10913","display_name":"Molecular Junctions and Nanostructures","score":0.9987,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9984,"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"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9978,"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/position","display_name":"Position (finance)","score":0.6828718},{"id":"https://openalex.org/keywords/molecular-motor","display_name":"Molecular motor","score":0.55202776},{"id":"https://openalex.org/keywords/brownian-motor","display_name":"Brownian motor","score":0.47581774}],"concepts":[{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.6828718},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6145038},{"id":"https://openalex.org/C160408235","wikidata":"https://www.wikidata.org/wiki/Q423905","display_name":"Molecular motor","level":2,"score":0.55202776},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5153436},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49734405},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.49571407},{"id":"https://openalex.org/C25051078","wikidata":"https://www.wikidata.org/wiki/Q2126262","display_name":"Brownian motor","level":4,"score":0.47581774},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41756302},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39399967},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3611973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24166098},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.17890868},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09682965},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0896076},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C2777694918","wikidata":"https://www.wikidata.org/wiki/Q11171014","display_name":"Ratchet","level":3,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C12554922","wikidata":"https://www.wikidata.org/wiki/Q7100","display_name":"Biophysics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1156824","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.04852","pdf_url":"http://arxiv.org/pdf/1711.04852","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1711.04852","pdf_url":"https://arxiv.org/pdf/1711.04852","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.1711.04852","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.04852","pdf_url":"http://arxiv.org/pdf/1711.04852","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation","award_id":"DMS 1814832"},{"funder":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation","award_id":"DMS 1515130"},{"funder":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation","award_id":"DMS-RTG 1148230"}],"datasets":[],"versions":["https://openalex.org/W2769816511","https://openalex.org/W3098670159"],"referenced_works_count":55,"referenced_works":["https://openalex.org/W1533415759","https://openalex.org/W1574498833","https://openalex.org/W1580561995","https://openalex.org/W1659054657","https://openalex.org/W1970866062","https://openalex.org/W1978514520","https://openalex.org/W1986919803","https://openalex.org/W1989729787","https://openalex.org/W1990179178","https://openalex.org/W1994120999","https://openalex.org/W1997461667","https://openalex.org/W1998634995","https://openalex.org/W2001952947","https://openalex.org/W2014965368","https://openalex.org/W2016518842","https://openalex.org/W2019021472","https://openalex.org/W2025753616","https://openalex.org/W2030737079","https://openalex.org/W2031220210","https://openalex.org/W2031792634","https://openalex.org/W2040170698","https://openalex.org/W2045401281","https://openalex.org/W2056822891","https://openalex.org/W2063924869","https://openalex.org/W2087663925","https://openalex.org/W2089915325","https://openalex.org/W2090206355","https://openalex.org/W2098889694","https://openalex.org/W2125103143","https://openalex.org/W2127645433","https://openalex.org/W2144528162","https://openalex.org/W2150217546","https://openalex.org/W2162632054","https://openalex.org/W2169071224","https://openalex.org/W2170121166","https://openalex.org/W2227537804","https://openalex.org/W2531391662","https://openalex.org/W2549741420","https://openalex.org/W2576544140","https://openalex.org/W2587858528","https://openalex.org/W2620883559","https://openalex.org/W2742157210","https://openalex.org/W2747063405","https://openalex.org/W2765635011","https://openalex.org/W2804522487","https://openalex.org/W2952149434","https://openalex.org/W2952313372","https://openalex.org/W2963859695","https://openalex.org/W3037604489","https://openalex.org/W3102471190","https://openalex.org/W3105570868","https://openalex.org/W4239844674","https://openalex.org/W4302567662","https://openalex.org/W615651129","https://openalex.org/W91439453"],"related_works":["https://openalex.org/W4300547309","https://openalex.org/W2951267528","https://openalex.org/W2379651310","https://openalex.org/W2360285652","https://openalex.org/W2113019827","https://openalex.org/W2111873666","https://openalex.org/W2105600100","https://openalex.org/W2053177995","https://openalex.org/W2010573140","https://openalex.org/W1541249122"],"abstract_inverted_index":{"We":[0,157],"propose":[1],"and":[2,28,87,93,98,103,127,164,180],"analyze":[3],"a":[4,35,65,83,105,144],"mathematical":[5,113],"model":[6],"of":[7,46,101,108,171],"cargo":[8,32,54,80,125],"transport":[9,148],"by":[10,21],"non-processive":[11,139,188],"molecular":[12],"motors.":[13,48,189],"In":[14],"our":[15],"model,":[16],"the":[17,31,43,47,53,79,89,96,141,169],"motors":[18,155],"change":[19],"states":[20,45],"random":[22],"discrete":[23,44,99],"events":[24],"(corresponding":[25],"to":[26,64,175,182],"stepping":[27],"binding/unbinding),":[29],"while":[30],"position":[33,55,81],"follows":[34],"stochastic":[36],"differential":[37],"equation":[38],"(SDE)":[39],"that":[40,60,143,151,159],"depends":[41],"on":[42,168,187],"The":[49],"resulting":[50,106],"system":[51,75],"for":[52,119],"is":[56,178],"consequently":[57],"an":[58],"SDE":[59],"randomly":[61],"switches":[62],"according":[63],"Markov":[66],"jump":[67],"process":[68],"governing":[69],"motor":[70,146,161],"dynamics.":[71],"To":[72],"study":[73],"this":[74],"we":[76,115],"(1)":[77],"cast":[78],"in":[82],"renewal":[84,90],"theory":[85],"framework":[86],"generalize":[88],"reward":[91],"theorem":[92],"(2)":[94],"decompose":[95],"continuous":[97],"sources":[100],"stochasticity":[102],"exploit":[104],"pair":[107],"disparate":[109],"timescales.":[110],"With":[111],"these":[112,131],"tools,":[114],"obtain":[116],"explicit":[117],"formulas":[118,132],"experimentally":[120],"measurable":[121],"quantities,":[122],"such":[123],"as":[124],"velocity":[126],"run":[128],"length.":[129],"Analyzing":[130],"then":[133],"yields":[134],"some":[135],"predictions":[136],"regarding":[137],"so-called":[138],"clustering,":[140],"phenomenon":[142],"single":[145],"cannot":[147],"cargo,":[149],"but":[150],"two":[152],"or":[153],"more":[154],"can.":[156],"find":[158],"having":[160],"stepping,":[162],"binding,":[163],"unbinding":[165],"rates":[166],"depend":[167],"number":[170],"bound":[172],"motors,":[173],"due":[174],"geometric":[176],"effects,":[177],"necessary":[179],"sufficient":[181],"explain":[183],"recent":[184],"experimental":[185],"data":[186]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3098670159","counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4}],"updated_date":"2025-01-06T21:46:20.634210","created_date":"2020-11-23"}