{"id":"https://openalex.org/W2164788319","doi":"https://doi.org/10.1186/1471-2105-12-s10-s18","title":"First-passage time analysis of a one-dimensional diffusion-reaction model: application to protein transport along DNA","display_name":"First-passage time analysis of a one-dimensional diffusion-reaction model: application to protein transport along DNA","publication_year":2011,"publication_date":"2011-10-18","ids":{"openalex":"https://openalex.org/W2164788319","doi":"https://doi.org/10.1186/1471-2105-12-s10-s18","mag":"2164788319","pmid":"https://pubmed.ncbi.nlm.nih.gov/22165905"},"language":"en","primary_location":{"id":"doi:10.1186/1471-2105-12-s10-s18","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1471-2105-12-s10-s18","pdf_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/1471-2105-12-S10-S18","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/1471-2105-12-S10-S18","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045705423","display_name":"Michael L. Mayo","orcid":"https://orcid.org/0000-0001-9014-1859"},"institutions":[{"id":"https://openalex.org/I87303767","display_name":"U.S. Army Engineer Research and Development Center","ror":"https://ror.org/027mhn368","country_code":"US","type":"facility","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1306490931","https://openalex.org/I1330347796","https://openalex.org/I87303767"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael L Mayo","raw_affiliation_strings":["Environemental Laboratory, US Army Engineer Research and Development Center, Vicksburg, MS 39180, USA. Michael.L.Mayo@usace.army.mil","Environmental Laboratory, US Army Engineer Research and Development Center, Vicksburg, MS, 39180, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Environemental Laboratory, US Army Engineer Research and Development Center, Vicksburg, MS 39180, USA. Michael.L.Mayo@usace.army.mil","institution_ids":["https://openalex.org/I87303767"]},{"raw_affiliation_string":"Environmental Laboratory, US Army Engineer Research and Development Center, Vicksburg, MS, 39180, USA","institution_ids":["https://openalex.org/I87303767"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075371599","display_name":"Edward J. Perkins","orcid":"https://orcid.org/0000-0003-1693-7714"},"institutions":[{"id":"https://openalex.org/I87303767","display_name":"U.S. Army Engineer Research and Development Center","ror":"https://ror.org/027mhn368","country_code":"US","type":"facility","lineage":["https://openalex.org/I1304082316","https://openalex.org/I1306490931","https://openalex.org/I1330347796","https://openalex.org/I87303767"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Edward J Perkins","raw_affiliation_strings":["Environmental Laboratory, US Army Engineer Research and Development Center, Vicksburg, MS, 39180, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Environmental Laboratory, US Army Engineer Research and Development Center, Vicksburg, MS, 39180, USA","institution_ids":["https://openalex.org/I87303767"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080886331","display_name":"Preetam Ghosh","orcid":"https://orcid.org/0000-0003-3880-5886"},"institutions":[{"id":"https://openalex.org/I184840846","display_name":"Virginia Commonwealth University","ror":"https://ror.org/02nkdxk79","country_code":"US","type":"education","lineage":["https://openalex.org/I184840846"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Preetam Ghosh","raw_affiliation_strings":["Department of Computer Science, Virginia Commonwealth University, Richmond, VA, 23284, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Virginia Commonwealth University, Richmond, VA, 23284, USA","institution_ids":["https://openalex.org/I184840846"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045705423"],"corresponding_institution_ids":["https://openalex.org/I87303767"],"apc_list":{"value":1690,"currency":"GBP","value_usd":2072},"apc_paid":{"value":1690,"currency":"GBP","value_usd":2072},"fwci":0.266,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.59953118,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"12","issue":"S10","first_page":"S18","last_page":"S18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9990000128746033,"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":0.9990000128746033,"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/T10120","display_name":"Bacterial Genetics and Biotechnology","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.00019999999494757503,"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/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.5468343496322632},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5046733617782593},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.49941253662109375},{"id":"https://openalex.org/keywords/reaction-rate","display_name":"Reaction rate","score":0.49150073528289795},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.4878065884113312},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4735369384288788},{"id":"https://openalex.org/keywords/dna","display_name":"DNA","score":0.4657156467437744},{"id":"https://openalex.org/keywords/non-equilibrium-thermodynamics","display_name":"Non-equilibrium thermodynamics","score":0.4464094042778015},{"id":"https://openalex.org/keywords/first-hitting-time-model","display_name":"First-hitting-time model","score":0.42929714918136597},{"id":"https://openalex.org/keywords/master-equation","display_name":"Master equation","score":0.41105523705482483},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3645654618740082},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.3250083923339844},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2271203100681305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22191563248634338},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.1981334090232849},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.18643072247505188},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.10475951433181763}],"concepts":[{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5468343496322632},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5046733617782593},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.49941253662109375},{"id":"https://openalex.org/C175113610","wikidata":"https://www.wikidata.org/wiki/Q3394849","display_name":"Reaction rate","level":3,"score":0.49150073528289795},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4878065884113312},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4735369384288788},{"id":"https://openalex.org/C552990157","wikidata":"https://www.wikidata.org/wiki/Q7430","display_name":"DNA","level":2,"score":0.4657156467437744},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.4464094042778015},{"id":"https://openalex.org/C186659197","wikidata":"https://www.wikidata.org/wiki/Q5452195","display_name":"First-hitting-time model","level":2,"score":0.42929714918136597},{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.41105523705482483},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3645654618740082},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3250083923339844},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2271203100681305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22191563248634338},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.1981334090232849},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.18643072247505188},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.10475951433181763},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C161790260","wikidata":"https://www.wikidata.org/wiki/Q82264","display_name":"Catalysis","level":2,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D001426","descriptor_name":"Bacterial Proteins","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D001426","descriptor_name":"Bacterial Proteins","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D001426","descriptor_name":"Bacterial Proteins","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","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":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004268","descriptor_name":"DNA-Binding Proteins","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D004268","descriptor_name":"DNA-Binding Proteins","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D004268","descriptor_name":"DNA-Binding Proteins","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D004269","descriptor_name":"DNA, Bacterial","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D004269","descriptor_name":"DNA, Bacterial","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D004269","descriptor_name":"DNA, Bacterial","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D007700","descriptor_name":"Kinetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007700","descriptor_name":"Kinetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007700","descriptor_name":"Kinetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009010","descriptor_name":"Monte Carlo Method","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1186/1471-2105-12-s10-s18","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1471-2105-12-s10-s18","pdf_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/1471-2105-12-S10-S18","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},{"id":"pmid:22165905","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/22165905","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,"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":"BMC bioinformatics","raw_type":null},{"id":"pmh:oai:scholarscompass.vcu.edu:cmsc_pubs-1012","is_oa":true,"landing_page_url":"https://scholarscompass.vcu.edu/cmsc_pubs/14","pdf_url":null,"source":{"id":"https://openalex.org/S4377196340","display_name":"VCU Scholars Compass (Virginia Commonwealth University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184840846","host_organization_name":"Virginia Commonwealth University","host_organization_lineage":["https://openalex.org/I184840846"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Science Publications","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:7843a344b6dc4377a63ac73e70cbf46c","is_oa":false,"landing_page_url":"https://doaj.org/article/7843a344b6dc4377a63ac73e70cbf46c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"BMC Bioinformatics, Vol 12, Iss Suppl 10, p S18 (2011)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:3236840","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3236840","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,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"BMC Bioinformatics","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1186/1471-2105-12-s10-s18","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1471-2105-12-s10-s18","pdf_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/1471-2105-12-S10-S18","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2164788319.pdf","grobid_xml":"https://content.openalex.org/works/W2164788319.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W48798728","https://openalex.org/W1498410508","https://openalex.org/W1573008071","https://openalex.org/W1603900493","https://openalex.org/W1964157716","https://openalex.org/W1965500179","https://openalex.org/W1981333260","https://openalex.org/W1984543814","https://openalex.org/W1990507623","https://openalex.org/W1994013214","https://openalex.org/W2009331672","https://openalex.org/W2009358568","https://openalex.org/W2017277760","https://openalex.org/W2032548898","https://openalex.org/W2042141299","https://openalex.org/W2061589518","https://openalex.org/W2082682118","https://openalex.org/W2084470701","https://openalex.org/W2088012076","https://openalex.org/W2094726880","https://openalex.org/W2102386127","https://openalex.org/W2115638851","https://openalex.org/W2124735489","https://openalex.org/W2136716105","https://openalex.org/W2137154596","https://openalex.org/W2142961247","https://openalex.org/W2143920302","https://openalex.org/W2151945570","https://openalex.org/W2165591265","https://openalex.org/W2279626446","https://openalex.org/W2320909563","https://openalex.org/W2616316942","https://openalex.org/W2947171186","https://openalex.org/W3021559346","https://openalex.org/W3025909902","https://openalex.org/W4240788980","https://openalex.org/W4388311596"],"related_works":["https://openalex.org/W2073801793","https://openalex.org/W1986260494","https://openalex.org/W2111360083","https://openalex.org/W3196266258","https://openalex.org/W1984875499","https://openalex.org/W2020405334","https://openalex.org/W2095820572","https://openalex.org/W2018162374","https://openalex.org/W3104928561","https://openalex.org/W2071149008"],"abstract_inverted_index":{"BACKGROUND:":[0],"Proteins":[1],"search":[2,158,181],"along":[3,54],"the":[4,40,49,70,80,83,88,99,102,111,142,157,167,171,179,193,198,220],"DNA":[5],"for":[6,69,166,183,210],"targets,":[7],"such":[8],"as":[9],"transcription":[10],"initiation":[11],"sequences,":[12],"according":[13,154],"to":[14,47,65,74,97,155],"one-dimensional":[15,36],"diffusion,":[16],"which":[17],"is":[18,45,63],"interrupted":[19],"by":[20,87],"micro-":[21],"and":[22,25,105],"macro-hopping":[23],"events":[24],"intersegmental":[26],"transfers":[27],"that":[28,205],"occur":[29],"under":[30,161],"close":[31],"packing":[32],"conditions.":[33,186],"RESULTS:":[34],"A":[35,60],"diffusion-reaction":[37],"model":[38],"in":[39],"form":[41],"of":[42,57,79,101,113,144,170,219],"difference-differential":[43],"equations":[44],"proposed":[46,103],"analyze":[48],"nonequilibrium":[50],"protein":[51],"sliding":[52,221],"kinetics":[53],"a":[55,208],"segment":[56],"bacterial":[58,114],"DNA.":[59],"renormalization":[61],"approach":[62],"used":[64],"derive":[66],"an":[67],"expression":[68],"mean":[71],"first-passage":[72,118],"time":[73,182],"arrive":[75],"at":[76,141],"sites":[77],"downstream":[78,134],"origin":[81],"from":[82],"occupation":[84],"probabilities":[85],"given":[86],"individual":[89],"transport":[90],"equations.":[91],"Monte":[92],"Carlo":[93],"simulations":[94],"are":[95,108,152,176],"employed":[96],"assess":[98],"validity":[100],"approach,":[104],"all":[106],"results":[107],"interpreted":[109],"within":[110],"context":[112],"transcription.":[115],"CONCLUSIONS:":[116],"Mean":[117],"times":[119],"decrease":[120],"with":[121,189],"increasing":[122,145],"reaction":[123,194],"rates,":[124],"indicating":[125],"that,":[126],"on":[127,178],"average,":[128],"surviving":[129],"proteins":[130],"more":[131],"rapidly":[132],"locate":[133],"targets":[135],"than":[136],"their":[137],"reaction-free":[138],"counterparts,":[139],"but":[140],"price":[143],"rarity.":[146],"Two":[147],"qualitatively":[148],"different":[149],"screening":[150,202],"regimes":[151],"identified":[153],"whether":[156],"process":[159],"operates":[160],"\"small\"":[162],"or":[163],"\"large\"":[164],"values":[165],"dissociation":[168],"rate":[169,195],"protein-DNA":[172],"complex.":[173],"Lower":[174],"bounds":[175],"placed":[177],"overall":[180],"varying":[184],"reactive":[185],"Good":[187],"agreement":[188],"experimental":[190],"estimates":[191],"requires":[192],"reside":[196],"near":[197],"transition":[199],"between":[200],"both":[201],"regimes,":[203],"suggesting":[204],"biology":[206],"balances":[207],"need":[209],"rapid":[211],"searches":[212],"against":[213],"maximum":[214],"exploration":[215],"during":[216],"each":[217],"round":[218],"phase.":[222]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
