{"id":"https://openalex.org/W2125865583","doi":"https://doi.org/10.2478/v10006-010-0058-7","title":"Markov chain model of phytoplankton dynamics","display_name":"Markov chain model of phytoplankton dynamics","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2125865583","doi":"https://doi.org/10.2478/v10006-010-0058-7","mag":"2125865583"},"language":"en","primary_location":{"id":"doi:10.2478/v10006-010-0058-7","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-010-0058-7","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-010-0058-7","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.2478/v10006-010-0058-7","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002861026","display_name":"Rados\u0142aw Wieczorek","orcid":"https://orcid.org/0000-0002-9894-8283"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Rados\u0142aw Wieczorek","raw_affiliation_strings":["Department of Biomathematics Institute of Mathematics, Polish Academy of Sciences ul. Bankowa 14, 40-007 Katowice, Poland","Department of Biomathematics, Institute of Mathematics, Polish Academy of Sciences ul. Bankowa 14, 40-007 Katowice, Poland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomathematics Institute of Mathematics, Polish Academy of Sciences ul. Bankowa 14, 40-007 Katowice, Poland","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210137370"]},{"raw_affiliation_string":"Department of Biomathematics, Institute of Mathematics, Polish Academy of Sciences ul. Bankowa 14, 40-007 Katowice, Poland#TAB#","institution_ids":["https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002861026"],"corresponding_institution_ids":["https://openalex.org/I4210137370","https://openalex.org/I99542240"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.7957,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.70288561,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"20","issue":"4","first_page":"763","last_page":"771"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9977999925613403,"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"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9977999925613403,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9764999747276306,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.766498327255249},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.686133086681366},{"id":"https://openalex.org/keywords/plankton","display_name":"Plankton","score":0.5251227021217346},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5204058885574341},{"id":"https://openalex.org/keywords/stochastic-modelling","display_name":"Stochastic modelling","score":0.5203382968902588},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.517568051815033},{"id":"https://openalex.org/keywords/phytoplankton","display_name":"Phytoplankton","score":0.5125250816345215},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.48233577609062195},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4770473837852478},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4654472768306732},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.44945186376571655},{"id":"https://openalex.org/keywords/continuous-time-markov-chain","display_name":"Continuous-time Markov chain","score":0.44043493270874023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.410386323928833},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.3692111372947693},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36245250701904297},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.25222915410995483},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.18255558609962463},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17161118984222412},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12559977173805237},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11314967274665833},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07785263657569885}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.766498327255249},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.686133086681366},{"id":"https://openalex.org/C108469399","wikidata":"https://www.wikidata.org/wiki/Q25367","display_name":"Plankton","level":2,"score":0.5251227021217346},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5204058885574341},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.5203382968902588},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.517568051815033},{"id":"https://openalex.org/C2780892065","wikidata":"https://www.wikidata.org/wiki/Q184755","display_name":"Phytoplankton","level":3,"score":0.5125250816345215},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.48233577609062195},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4770473837852478},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4654472768306732},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.44945186376571655},{"id":"https://openalex.org/C147080032","wikidata":"https://www.wikidata.org/wiki/Q176720","display_name":"Continuous-time Markov chain","level":5,"score":0.44043493270874023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.410386323928833},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.3692111372947693},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36245250701904297},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.25222915410995483},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.18255558609962463},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17161118984222412},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12559977173805237},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11314967274665833},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07785263657569885},{"id":"https://openalex.org/C142796444","wikidata":"https://www.wikidata.org/wiki/Q181394","display_name":"Nutrient","level":2,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2478/v10006-010-0058-7","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-010-0058-7","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-010-0058-7","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.8431","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.8431","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://matwbn.icm.edu.pl/ksiazki/amc/amc20/amc20413.pdf","raw_type":"text"},{"id":"pmh:oai:zbc.uz.zgora.pl:46891","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=46891","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=paper&paper=528","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/v10006-010-0058-7","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-010-0058-7","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-010-0058-7","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/14","display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2125865583.pdf","grobid_xml":"https://content.openalex.org/works/W2125865583.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W309924941","https://openalex.org/W652186913","https://openalex.org/W1510924284","https://openalex.org/W1567918462","https://openalex.org/W1655394326","https://openalex.org/W1983026648","https://openalex.org/W2017402613","https://openalex.org/W2018635226","https://openalex.org/W2046916343","https://openalex.org/W2049763161","https://openalex.org/W2057073325","https://openalex.org/W2058570444","https://openalex.org/W2063240006","https://openalex.org/W2126794261","https://openalex.org/W2159428457","https://openalex.org/W2484039423","https://openalex.org/W2553397245","https://openalex.org/W2576343906","https://openalex.org/W4213329537","https://openalex.org/W4240961758","https://openalex.org/W6610967396","https://openalex.org/W6729444170"],"related_works":["https://openalex.org/W2375403931","https://openalex.org/W2987631717","https://openalex.org/W2009895812","https://openalex.org/W2410777413","https://openalex.org/W4366399511","https://openalex.org/W2146188408","https://openalex.org/W2994944459","https://openalex.org/W2734551807","https://openalex.org/W2084326697","https://openalex.org/W2149353983"],"abstract_inverted_index":{"Markov":[0],"chain":[1],"model":[2,10,35],"of":[3,11,21,31],"phytoplankton":[4],"dynamics":[5,13],"A":[6],"discrete-time":[7],"stochastic":[8,34],"spatial":[9],"plankton":[12,22],"is":[14,26],"given.":[15],"We":[16],"focus":[17],"on":[18],"aggregative":[19],"behaviour":[20],"cells.":[23],"Our":[24],"aim":[25],"to":[27,36],"show":[28],"the":[29],"convergence":[30],"a":[32,37],"microscopic,":[33],"macroscopic":[38],"one,":[39],"given":[40],"by":[41],"an":[42],"evolution":[43],"equation.":[44],"Some":[45],"numerical":[46],"simulations":[47],"are":[48],"also":[49],"presented.":[50]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
