{"id":"https://openalex.org/W2024995147","doi":"https://doi.org/10.1137/080739720","title":"Mathematical Description of Microbial Biofilms","display_name":"Mathematical Description of Microbial Biofilms","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2024995147","doi":"https://doi.org/10.1137/080739720","mag":"2024995147"},"language":"en","primary_location":{"id":"doi:10.1137/080739720","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080739720","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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":"SIAM Review","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/A5000849190","display_name":"Isaac Klapper","orcid":"https://orcid.org/0000-0002-7020-774X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Isaac Klapper","raw_affiliation_strings":["klapper@math.montana.edu and umsfjdoc@math.montana.edu#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"klapper@math.montana.edu and umsfjdoc@math.montana.edu#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112712235","display_name":"Jack D. Dockery","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jack Dockery","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":5.8473,"has_fulltext":false,"cited_by_count":202,"citation_normalized_percentile":{"value":0.97128106,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"52","issue":"2","first_page":"221","last_page":"265"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10593","display_name":"Bacterial biofilms and quorum sensing","score":0.9998999834060669,"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/T10593","display_name":"Bacterial biofilms and quorum sensing","score":0.9998999834060669,"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/T11791","display_name":"Microbial Community Ecology and Physiology","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11916","display_name":"Legionella and Acanthamoeba research","score":0.9552000164985657,"subfield":{"id":"https://openalex.org/subfields/1310","display_name":"Endocrinology"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/biofilm","display_name":"Biofilm","score":0.7363417148590088},{"id":"https://openalex.org/keywords/biochemical-engineering","display_name":"Biochemical engineering","score":0.4596765339374542},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.38246798515319824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3761407434940338},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35313230752944946},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3418923020362854},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.30415692925453186},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15097251534461975},{"id":"https://openalex.org/keywords/bacteria","display_name":"Bacteria","score":0.1301281750202179},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.05321317911148071}],"concepts":[{"id":"https://openalex.org/C58123911","wikidata":"https://www.wikidata.org/wiki/Q467410","display_name":"Biofilm","level":3,"score":0.7363417148590088},{"id":"https://openalex.org/C183696295","wikidata":"https://www.wikidata.org/wiki/Q2487696","display_name":"Biochemical engineering","level":1,"score":0.4596765339374542},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.38246798515319824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3761407434940338},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35313230752944946},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3418923020362854},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.30415692925453186},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15097251534461975},{"id":"https://openalex.org/C523546767","wikidata":"https://www.wikidata.org/wiki/Q10876","display_name":"Bacteria","level":2,"score":0.1301281750202179},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.05321317911148071},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080739720","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080739720","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:oai:oceanrep.geomar.de:49550","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400264","display_name":"Helmholtz Centre for Ocean Research Kiel (GEOMAR)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I34403800","host_organization_name":"GEOMAR Helmholtz Centre for Ocean Research Kiel","host_organization_lineage":["https://openalex.org/I34403800"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"    SIAM Review, 52  (2).   pp. 221-265.   ","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"display_name":"Zero hunger","id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":245,"referenced_works":["https://openalex.org/W14263458","https://openalex.org/W28406026","https://openalex.org/W127910572","https://openalex.org/W606038806","https://openalex.org/W1480290341","https://openalex.org/W1491840464","https://openalex.org/W1508749862","https://openalex.org/W1520922436","https://openalex.org/W1536293420","https://openalex.org/W1540505601","https://openalex.org/W1578329775","https://openalex.org/W1594598448","https://openalex.org/W1713646499","https://openalex.org/W1895584462","https://openalex.org/W1897643716","https://openalex.org/W1903990541","https://openalex.org/W1966552407","https://openalex.org/W1967239401","https://openalex.org/W1967406019","https://openalex.org/W1969244937","https://openalex.org/W1970661255","https://openalex.org/W1970718404","https://openalex.org/W1972265571","https://openalex.org/W1972861820","https://openalex.org/W1972971715","https://openalex.org/W1974258649","https://openalex.org/W1975015515","https://openalex.org/W1980352067","https://openalex.org/W1981979777","https://openalex.org/W1983969505","https://openalex.org/W1984683117","https://openalex.org/W1987400078","https://openalex.org/W1988147327","https://openalex.org/W1988173903","https://openalex.org/W1991045187","https://openalex.org/W1991444094","https://openalex.org/W1992572387","https://openalex.org/W1992783733","https://openalex.org/W1994362962","https://openalex.org/W1994947405","https://openalex.org/W1996064131","https://openalex.org/W1997354413","https://openalex.org/W1999063954","https://openalex.org/W1999120446","https://openalex.org/W2001760607","https://openalex.org/W2001852037","https://openalex.org/W2002033299","https://openalex.org/W2002771261","https://openalex.org/W2003614993","https://openalex.org/W2003804052","https://openalex.org/W2004167630","https://openalex.org/W2004854215","https://openalex.org/W2005143673","https://openalex.org/W2005786581","https://openalex.org/W2007354801","https://openalex.org/W2009574119","https://openalex.org/W2011283161","https://openalex.org/W2013759048","https://openalex.org/W2013940605","https://openalex.org/W2016475294","https://openalex.org/W2019347117","https://openalex.org/W2023944673","https://openalex.org/W2025494507","https://openalex.org/W2025535829","https://openalex.org/W2028460556","https://openalex.org/W2028943680","https://openalex.org/W2029472298","https://openalex.org/W2030481147","https://openalex.org/W2031985117","https://openalex.org/W2032368625","https://openalex.org/W2032555945","https://openalex.org/W2032579724","https://openalex.org/W2033736353","https://openalex.org/W2033757656","https://openalex.org/W2035870495","https://openalex.org/W2036857158","https://openalex.org/W2038979205","https://openalex.org/W2041308784","https://openalex.org/W2041324554","https://openalex.org/W2044550254","https://openalex.org/W2045154470","https://openalex.org/W2045339672","https://openalex.org/W2045995933","https://openalex.org/W2046291588","https://openalex.org/W2049664245","https://openalex.org/W2050292675","https://openalex.org/W2050489977","https://openalex.org/W2054217930","https://openalex.org/W2054820412","https://openalex.org/W2054962812","https://openalex.org/W2055294982","https://openalex.org/W2055393579","https://openalex.org/W2055842264","https://openalex.org/W2056008871","https://openalex.org/W2057802070","https://openalex.org/W2058384108","https://openalex.org/W2059685380","https://openalex.org/W2060680969","https://openalex.org/W2061579546","https://openalex.org/W2061650968","https://openalex.org/W2062584479","https://openalex.org/W2070312290","https://openalex.org/W2070791176","https://openalex.org/W2070804748","https://openalex.org/W2072850042","https://openalex.org/W2075806466","https://openalex.org/W2076032006","https://openalex.org/W2076868976","https://openalex.org/W2078437990","https://openalex.org/W2078606044","https://openalex.org/W2079698171","https://openalex.org/W2080497794","https://openalex.org/W2081439047","https://openalex.org/W2082900223","https://openalex.org/W2083321256","https://openalex.org/W2087170077","https://openalex.org/W2087484128","https://openalex.org/W2087735873","https://openalex.org/W2090363184","https://openalex.org/W2090952227","https://openalex.org/W2091432673","https://openalex.org/W2096861885","https://openalex.org/W2097764864","https://openalex.org/W2098626852","https://openalex.org/W2098809607","https://openalex.org/W2099314690","https://openalex.org/W2100285085","https://openalex.org/W2101830519","https://openalex.org/W2101839204","https://openalex.org/W2103780237","https://openalex.org/W2104941420","https://openalex.org/W2105173502","https://openalex.org/W2106503480","https://openalex.org/W2106772724","https://openalex.org/W2107304641","https://openalex.org/W2107741098","https://openalex.org/W2109870018","https://openalex.org/W2110364701","https://openalex.org/W2111385243","https://openalex.org/W2112667402","https://openalex.org/W2114188918","https://openalex.org/W2114392213","https://openalex.org/W2114447433","https://openalex.org/W2114510377","https://openalex.org/W2114671816","https://openalex.org/W2115902018","https://openalex.org/W2116858074","https://openalex.org/W2117986644","https://openalex.org/W2118001436","https://openalex.org/W2119375902","https://openalex.org/W2119608865","https://openalex.org/W2119898090","https://openalex.org/W2120468912","https://openalex.org/W2120545407","https://openalex.org/W2121101908","https://openalex.org/W2121177733","https://openalex.org/W2122094987","https://openalex.org/W2122115838","https://openalex.org/W2122380144","https://openalex.org/W2122721391","https://openalex.org/W2122836009","https://openalex.org/W2123774386","https://openalex.org/W2123890250","https://openalex.org/W2123971100","https://openalex.org/W2125040423","https://openalex.org/W2126221953","https://openalex.org/W2126278064","https://openalex.org/W2126345402","https://openalex.org/W2126552247","https://openalex.org/W2127240867","https://openalex.org/W2129361538","https://openalex.org/W2130011046","https://openalex.org/W2130276134","https://openalex.org/W2130281211","https://openalex.org/W2131869707","https://openalex.org/W2133971477","https://openalex.org/W2135272801","https://openalex.org/W2135541650","https://openalex.org/W2136307515","https://openalex.org/W2137215017","https://openalex.org/W2138143534","https://openalex.org/W2138901939","https://openalex.org/W2140406452","https://openalex.org/W2143556405","https://openalex.org/W2144440398","https://openalex.org/W2145007144","https://openalex.org/W2146292204","https://openalex.org/W2147507723","https://openalex.org/W2148323109","https://openalex.org/W2148956121","https://openalex.org/W2149886824","https://openalex.org/W2151096439","https://openalex.org/W2151884314","https://openalex.org/W2152586857","https://openalex.org/W2152989636","https://openalex.org/W2154247221","https://openalex.org/W2155327463","https://openalex.org/W2155439177","https://openalex.org/W2156788471","https://openalex.org/W2157215419","https://openalex.org/W2157677345","https://openalex.org/W2159771065","https://openalex.org/W2160029292","https://openalex.org/W2160037478","https://openalex.org/W2161018171","https://openalex.org/W2161021025","https://openalex.org/W2163047333","https://openalex.org/W2164211912","https://openalex.org/W2165850276","https://openalex.org/W2165955558","https://openalex.org/W2166662833","https://openalex.org/W2166816492","https://openalex.org/W2167365862","https://openalex.org/W2167583557","https://openalex.org/W2167942872","https://openalex.org/W2169314851","https://openalex.org/W2169696772","https://openalex.org/W2169894508","https://openalex.org/W2169937805","https://openalex.org/W2170456359","https://openalex.org/W2170514389","https://openalex.org/W2171527366","https://openalex.org/W2171887608","https://openalex.org/W2219169530","https://openalex.org/W2276815493","https://openalex.org/W2279916972","https://openalex.org/W2282378393","https://openalex.org/W2314361608","https://openalex.org/W2338816278","https://openalex.org/W2402544481","https://openalex.org/W2406175623","https://openalex.org/W2509249813","https://openalex.org/W2523808692","https://openalex.org/W2526385365","https://openalex.org/W2575569541","https://openalex.org/W2741307527","https://openalex.org/W2803863808","https://openalex.org/W2990295100","https://openalex.org/W2992726982","https://openalex.org/W4211163608","https://openalex.org/W4213354399","https://openalex.org/W4230690150","https://openalex.org/W4238205016","https://openalex.org/W4238496796","https://openalex.org/W4246508898"],"related_works":["https://openalex.org/W2979307155","https://openalex.org/W3043155088","https://openalex.org/W3135844625","https://openalex.org/W2209765970","https://openalex.org/W1972861820","https://openalex.org/W3002140865","https://openalex.org/W2276952191","https://openalex.org/W2272690594","https://openalex.org/W4291012575","https://openalex.org/W1565195214"],"abstract_inverted_index":{"We":[0],"describe":[1],"microbial":[2],"communities":[3],"denoted":[4],"biofilms":[5],"and":[6,20],"efforts":[7],"to":[8],"model":[9],"some":[10],"of":[11],"their":[12],"important":[13],"aspects,":[14],"including":[15],"quorum":[16],"sensing,":[17],"growth,":[18],"mechanics,":[19],"antimicrobial":[21],"tolerance":[22],"mechanisms.":[23]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":17},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":17},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":14},{"year":2012,"cited_by_count":21}],"updated_date":"2026-07-16T13:24:37.021932","created_date":"2025-10-10T00:00:00"}