{"id":"https://openalex.org/W2027802638","doi":"https://doi.org/10.1155/2007/48138","title":"Marked Continuous-Time Markov Chain Modelling of Burst Behaviour for Single Ion Channels","display_name":"Marked Continuous-Time Markov Chain Modelling of Burst Behaviour for Single Ion Channels","publication_year":2007,"publication_date":"2007-10-29","ids":{"openalex":"https://openalex.org/W2027802638","doi":"https://doi.org/10.1155/2007/48138","mag":"2027802638"},"language":"en","primary_location":{"id":"doi:10.1155/2007/48138","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/48138","pdf_url":"https://downloads.hindawi.com/archive/2007/048138.pdf","source":{"id":"https://openalex.org/S187318915","display_name":"Journal of Applied Mathematics and Decision Sciences","issn_l":"1173-9126","issn":["1173-9126","1532-7612"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Decision Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/archive/2007/048138.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003152026","display_name":"Frank Ball","orcid":"https://orcid.org/0000-0002-5599-2903"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Frank G. Ball","raw_affiliation_strings":["School of Mathematical Sciences, The University of Nottingham, University Park, Nottingham NG7 2RD, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, The University of Nottingham, University Park, Nottingham NG7 2RD, UK","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084607120","display_name":"Robin K. Milne","orcid":"https://orcid.org/0000-0002-1098-2672"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Robin K. Milne","raw_affiliation_strings":["School of Mathematics and Statistics, The University of Western Australia, Crawley, WA 6009, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of Western Australia, Crawley, WA 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110355322","display_name":"Geoffrey Yeo","orcid":null},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Geoffrey F. Yeo","raw_affiliation_strings":["School of Mathematics and Statistics, The University of Western Australia, Crawley, WA 6009, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of Western Australia, Crawley, WA 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.09719945,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2007","issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10493","display_name":"Ion channel regulation and function","score":0.9976000189781189,"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/T10493","display_name":"Ion channel regulation and function","score":0.9976000189781189,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9940000176429749,"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/T11601","display_name":"Neuroscience and Neural Engineering","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"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/bursting","display_name":"Bursting","score":0.7792040109634399},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7595289349555969},{"id":"https://openalex.org/keywords/gating","display_name":"Gating","score":0.5248729586601257},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5020124912261963},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.48813948035240173},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.47349318861961365},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.414753258228302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35474473237991333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3147178292274475},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31011852622032166},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14907193183898926},{"id":"https://openalex.org/keywords/biophysics","display_name":"Biophysics","score":0.1433115005493164},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10065528750419617},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.0582297146320343}],"concepts":[{"id":"https://openalex.org/C195221683","wikidata":"https://www.wikidata.org/wiki/Q5000649","display_name":"Bursting","level":2,"score":0.7792040109634399},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7595289349555969},{"id":"https://openalex.org/C194544171","wikidata":"https://www.wikidata.org/wiki/Q21105679","display_name":"Gating","level":2,"score":0.5248729586601257},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5020124912261963},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.48813948035240173},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.47349318861961365},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.414753258228302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35474473237991333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3147178292274475},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31011852622032166},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14907193183898926},{"id":"https://openalex.org/C12554922","wikidata":"https://www.wikidata.org/wiki/Q7100","display_name":"Biophysics","level":1,"score":0.1433115005493164},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10065528750419617},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0582297146320343},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2007/48138","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/48138","pdf_url":"https://downloads.hindawi.com/archive/2007/048138.pdf","source":{"id":"https://openalex.org/S187318915","display_name":"Journal of Applied Mathematics and Decision Sciences","issn_l":"1173-9126","issn":["1173-9126","1532-7612"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Decision Sciences","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/d2174360-d596-4384-9847-b97a217b29b8","is_oa":true,"landing_page_url":"https://admin.research-repository.uwa.edu.au/en/publications/d2174360-d596-4384-9847-b97a217b29b8","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ball, F G, Milne, R & Yeo, G 2007, 'Marked continuous-time Markov chain modelling of burst behaviour for single ion channels', Journal of Applied Mathematics and Decision Sciences, vol. 2007, pp. online - approx 5-20pp. https://doi.org/10.1155/2007/48138","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:477775d1e0914775ab70aa4f1dd92be3","is_oa":false,"landing_page_url":"https://doaj.org/article/477775d1e0914775ab70aa4f1dd92be3","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":"Journal of Applied Mathematics and Decision Sciences, Vol 2007 (2007)","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/d2174360-d596-4384-9847-b97a217b29b8","is_oa":true,"landing_page_url":"http://www.hindawi.com/journals/ads/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ball , F G , Milne , R & Yeo , G 2007 , ' Marked continuous-time Markov chain modelling of burst behaviour for single ion channels ' , Journal of Applied Mathematics and Decision Sciences , vol. 2007 , pp. online - approx 5-20pp . https://doi.org/10.1155/2007/48138","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2007/48138","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2007/48138","pdf_url":"https://downloads.hindawi.com/archive/2007/048138.pdf","source":{"id":"https://openalex.org/S187318915","display_name":"Journal of Applied Mathematics and Decision Sciences","issn_l":"1173-9126","issn":["1173-9126","1532-7612"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Decision Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2027802638.pdf","grobid_xml":"https://content.openalex.org/works/W2027802638.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W642533133","https://openalex.org/W1497576400","https://openalex.org/W1518617173","https://openalex.org/W1530353416","https://openalex.org/W1569418278","https://openalex.org/W1980035234","https://openalex.org/W2008538639","https://openalex.org/W2009667219","https://openalex.org/W2019332081","https://openalex.org/W2031812418","https://openalex.org/W2068809340","https://openalex.org/W2123060952","https://openalex.org/W2124047972","https://openalex.org/W2128005148","https://openalex.org/W2135241895","https://openalex.org/W2151871414","https://openalex.org/W2201666289","https://openalex.org/W2313808744","https://openalex.org/W2327260186","https://openalex.org/W2500423361","https://openalex.org/W4249175968","https://openalex.org/W4254512476"],"related_works":["https://openalex.org/W2113019827","https://openalex.org/W2412945859","https://openalex.org/W1547165842","https://openalex.org/W1968981463","https://openalex.org/W2054436850","https://openalex.org/W1603763795","https://openalex.org/W1984480945","https://openalex.org/W4234603185","https://openalex.org/W2019332081","https://openalex.org/W3102494028"],"abstract_inverted_index":{"Patch":[0],"clamp":[1],"recordings":[2],"from":[3,20],"ion":[4],"channels":[5],"often":[6],"show":[7,57],"bursting":[8],"behaviour,":[9],"that":[10],"is,":[11],"periods":[12,24],"of":[13,25,29,37,61,70,74,90,99],"repetitive":[14],"activity,":[15],"which":[16],"are":[17],"noticeably":[18],"separated":[19],"each":[21],"other":[22],"by":[23,47],"inactivity.":[26],"A":[27],"number":[28,89],"authors":[30],"have":[31],"obtained":[32],"results":[33],"for":[34],"important":[35],"properties":[36],"theoretical":[38],"and":[39,87,95,110],"empirical":[40],"bursts":[41],"when":[42,102],"channel":[43],"gating":[44,105],"is":[45,107],"modelled":[46],"a":[48,53,93],"continuous-time":[49,63],"Markov":[50,64],"chain":[51],"with":[52],"finite-state":[54],"space.":[55],"We":[56],"how":[58],"the":[59,68,72,79,83,88,97,103],"use":[60],"marked":[62],"chains":[65],"can":[66],"simplify":[67],"derivation":[69],"(i)":[71],"distributions":[73,101],"several":[75],"burst":[76],"properties,":[77],"including":[78],"total":[80,84],"open":[81],"time,":[82],"charge":[85],"transfer,":[86],"openings":[91],"in":[92,111],"burst,":[94],"(ii)":[96],"form":[98],"these":[100],"underlying":[104],"process":[106],"time":[108],"reversible":[109],"equilibrium.":[112]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}