{"id":"https://openalex.org/W2003909961","doi":"https://doi.org/10.1137/100812951","title":"Multiscale Developments of the Cellular Potts Model","display_name":"Multiscale Developments of the Cellular Potts Model","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2003909961","doi":"https://doi.org/10.1137/100812951","mag":"2003909961"},"language":"en","primary_location":{"id":"doi:10.1137/100812951","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100812951","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 &amp; 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/A5068040288","display_name":"Marco Scianna","orcid":"https://orcid.org/0000-0003-3509-9015"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Scianna","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5003500970","display_name":"Luigi Preziosi","orcid":"https://orcid.org/0000-0003-1532-1854"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L. Preziosi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.932,"has_fulltext":false,"cited_by_count":94,"citation_normalized_percentile":{"value":0.96471861,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"10","issue":"2","first_page":"342","last_page":"382"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9993000030517578,"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/T10379","display_name":"Cellular Mechanics and Interactions","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell 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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mesoscopic-physics","display_name":"Mesoscopic physics","score":0.7247083783149719},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6650301218032837},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5427345037460327},{"id":"https://openalex.org/keywords/potts-model","display_name":"Potts model","score":0.4919133186340332},{"id":"https://openalex.org/keywords/continuous-modelling","display_name":"Continuous modelling","score":0.4664596617221832},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4248335063457489},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3645681142807007},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22554820775985718},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.177200049161911}],"concepts":[{"id":"https://openalex.org/C177731217","wikidata":"https://www.wikidata.org/wiki/Q2622244","display_name":"Mesoscopic physics","level":2,"score":0.7247083783149719},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6650301218032837},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5427345037460327},{"id":"https://openalex.org/C98925819","wikidata":"https://www.wikidata.org/wiki/Q7235385","display_name":"Potts model","level":3,"score":0.4919133186340332},{"id":"https://openalex.org/C10184394","wikidata":"https://www.wikidata.org/wiki/Q5165491","display_name":"Continuous modelling","level":2,"score":0.4664596617221832},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4248335063457489},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3645681142807007},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22554820775985718},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.177200049161911},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/100812951","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100812951","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 &amp; Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":88,"referenced_works":["https://openalex.org/W179214397","https://openalex.org/W1599404237","https://openalex.org/W1607411752","https://openalex.org/W1910650341","https://openalex.org/W1967512060","https://openalex.org/W1969292950","https://openalex.org/W1972861820","https://openalex.org/W1976553848","https://openalex.org/W1977973890","https://openalex.org/W1978911766","https://openalex.org/W1978994992","https://openalex.org/W1986259688","https://openalex.org/W1986313393","https://openalex.org/W1987472402","https://openalex.org/W1988893861","https://openalex.org/W2001314317","https://openalex.org/W2002785668","https://openalex.org/W2003777046","https://openalex.org/W2007904495","https://openalex.org/W2008745362","https://openalex.org/W2010741354","https://openalex.org/W2013484332","https://openalex.org/W2020410964","https://openalex.org/W2020644315","https://openalex.org/W2024161345","https://openalex.org/W2027481988","https://openalex.org/W2029203100","https://openalex.org/W2031183440","https://openalex.org/W2033898104","https://openalex.org/W2039091737","https://openalex.org/W2040424539","https://openalex.org/W2041619208","https://openalex.org/W2045277539","https://openalex.org/W2045434770","https://openalex.org/W2045550978","https://openalex.org/W2053966701","https://openalex.org/W2054917257","https://openalex.org/W2055423598","https://openalex.org/W2056760934","https://openalex.org/W2057642293","https://openalex.org/W2061950248","https://openalex.org/W2064356142","https://openalex.org/W2068674173","https://openalex.org/W2071145526","https://openalex.org/W2074242691","https://openalex.org/W2075081031","https://openalex.org/W2075372638","https://openalex.org/W2080132440","https://openalex.org/W2092306268","https://openalex.org/W2093226717","https://openalex.org/W2095921114","https://openalex.org/W2096021672","https://openalex.org/W2103631368","https://openalex.org/W2104849069","https://openalex.org/W2106199085","https://openalex.org/W2108336514","https://openalex.org/W2111785219","https://openalex.org/W2113142255","https://openalex.org/W2113447161","https://openalex.org/W2115873388","https://openalex.org/W2115892984","https://openalex.org/W2116326143","https://openalex.org/W2120791255","https://openalex.org/W2121562333","https://openalex.org/W2126496496","https://openalex.org/W2133370274","https://openalex.org/W2133493253","https://openalex.org/W2134047171","https://openalex.org/W2134347395","https://openalex.org/W2134519035","https://openalex.org/W2134902315","https://openalex.org/W2136269628","https://openalex.org/W2137971290","https://openalex.org/W2139802217","https://openalex.org/W2139994943","https://openalex.org/W2140096109","https://openalex.org/W2152297025","https://openalex.org/W2154474869","https://openalex.org/W2154480504","https://openalex.org/W2154612959","https://openalex.org/W2155640937","https://openalex.org/W2159067958","https://openalex.org/W2159793005","https://openalex.org/W2160652399","https://openalex.org/W2161590805","https://openalex.org/W2163371279","https://openalex.org/W2166952908","https://openalex.org/W2290312602"],"related_works":["https://openalex.org/W5012203","https://openalex.org/W2790535609","https://openalex.org/W1995574656","https://openalex.org/W97316223","https://openalex.org/W4240653033","https://openalex.org/W2534474591","https://openalex.org/W4256412014","https://openalex.org/W2366448304","https://openalex.org/W2322473156","https://openalex.org/W2353712167"],"abstract_inverted_index":{"Multiscale":[0],"problems":[1],"are":[2,84,173],"ubiquitous":[3],"and":[4,29,33,78,105,183],"fundamental":[5],"in":[6],"all":[7],"biological":[8,88,154],"phenomena":[9],"that":[10,72,143,179],"emerge":[11],"naturally":[12],"from":[13],"the":[14,48,58,80,121,149,157,160,198],"complex":[15],"interaction":[16],"of":[17,26,44,47,101,119,129,132,153,159,197],"processes":[18],"which":[19,83],"occur":[20],"at":[21],"various":[22],"levels.":[23],"A":[24],"number":[25],"both":[27],"discrete":[28],"continuous":[30,127],"mathematical":[31],"models":[32,128],"methods":[34],"have":[35],"been":[36],"developed":[37],"to":[38,75,137,146],"address":[39],"such":[40],"an":[41],"intricate":[42],"network":[43],"organization.":[45],"One":[46],"most":[49],"suitable":[50],"individual":[51],"cell-based":[52],"model":[53,62],"for":[54,86],"this":[55,93],"purpose":[56],"is":[57,66,73,136,144,163],"well-known":[59],"cellular":[60],"Potts":[61],"(CPM).":[63],"The":[64,134],"CPM":[65,124,171],"a":[67,98,139,181],"discrete,":[68],"lattice-based,":[69],"flexible":[70],"technique":[71],"able":[74,145],"accurately":[76],"identify":[77],"describe":[79],"phenomenological":[81],"mechanisms":[82],"responsible":[85],"innumerable":[87],"(and":[89],"nonbiological)":[90],"phenomena.":[91],"In":[92],"work,":[94],"we":[95,190],"first":[96],"give":[97],"brief":[99],"overview":[100],"its":[102,107],"biophysical":[103],"basis":[104],"discuss":[106],"main":[108],"limitations.":[109],"We":[110],"then":[111,174],"propose":[112],"some":[113],"innovative":[114],"extensions,":[115],"focusing":[116],"on":[117],"ways":[118],"integrating":[120],"basic":[122],"mesoscopic":[123],"with":[125,148,176,186],"accurate":[126],"microscopic":[130],"dynamics":[131],"individuals.":[133],"aim":[135],"create":[138],"multiscale":[140],"hybrid":[141],"framework":[142],"deal":[147],"typical":[150],"multilevel":[151],"organization":[152],"development,":[155],"where":[156],"behavior":[158],"simulated":[161],"individuals":[162],"realistically":[164],"driven":[165],"by":[166,192],"their":[167],"internal":[168],"state.":[169],"Our":[170],"extensions":[172],"tested":[175],"sample":[177],"applications":[178],"show":[180],"qualitative":[182],"quantitative":[184],"agreement":[185],"experimental":[187],"data.":[188],"Finally,":[189],"conclude":[191],"discussing":[193],"further":[194],"possible":[195],"developments":[196],"method.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
