{"id":"https://openalex.org/W1964054338","doi":"https://doi.org/10.1137/s0036139998341588","title":"Microbial Competition for Nutrient and Wall Sites in Plug Flow","display_name":"Microbial Competition for Nutrient and Wall Sites in Plug Flow","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1964054338","doi":"https://doi.org/10.1137/s0036139998341588","mag":"1964054338"},"language":"en","primary_location":{"id":"doi:10.1137/s0036139998341588","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139998341588","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Journal on Applied Mathematics","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/A5111707287","display_name":"Don A. Jones","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152479","display_name":"Statistical Service","ror":"https://ror.org/05vydvf11","country_code":"CY","type":"government","lineage":["https://openalex.org/I4210152479"]}],"countries":["CY"],"is_corresponding":false,"raw_author_name":"Don A. Jones","raw_affiliation_strings":["CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)","institution_ids":["https://openalex.org/I4210152479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109396218","display_name":"Hal L. Smith","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152479","display_name":"Statistical Service","ror":"https://ror.org/05vydvf11","country_code":"CY","type":"government","lineage":["https://openalex.org/I4210152479"]}],"countries":["CY"],"is_corresponding":false,"raw_author_name":"Hal Smith","raw_affiliation_strings":["CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)","institution_ids":["https://openalex.org/I4210152479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210152479"],"apc_list":null,"apc_paid":null,"fwci":8.331,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.97055691,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"60","issue":"5","first_page":"1576","last_page":"1600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9631999731063843,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11252","display_name":"Evolutionary Game Theory and Cooperation","score":0.9631999731063843,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9524999856948853,"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/T11486","display_name":"Micro and Nano Robotics","score":0.9510999917984009,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/limiting","display_name":"Limiting","score":0.6946881413459778},{"id":"https://openalex.org/keywords/competition","display_name":"Competition (biology)","score":0.607520341873169},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.5397132635116577},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5050833821296692},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.4999215602874756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4566553831100464},{"id":"https://openalex.org/keywords/plug-flow","display_name":"Plug flow","score":0.4316239655017853},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.42263472080230713},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3573318421840668},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28834107518196106},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.24869561195373535},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.23746436834335327},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19012859463691711},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1771852970123291},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.17618170380592346},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12588077783584595}],"concepts":[{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.6946881413459778},{"id":"https://openalex.org/C91306197","wikidata":"https://www.wikidata.org/wiki/Q45767","display_name":"Competition (biology)","level":2,"score":0.607520341873169},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.5397132635116577},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5050833821296692},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.4999215602874756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4566553831100464},{"id":"https://openalex.org/C191545125","wikidata":"https://www.wikidata.org/wiki/Q383758","display_name":"Plug flow","level":2,"score":0.4316239655017853},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.42263472080230713},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3573318421840668},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28834107518196106},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.24869561195373535},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.23746436834335327},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19012859463691711},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1771852970123291},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.17618170380592346},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12588077783584595},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036139998341588","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036139998341588","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.725.685","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.725.685","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://math.la.asu.edu/%7Ehalsmith/Siapjones.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/6","score":0.6000000238418579,"display_name":"Clean water and sanitation"}],"awards":[{"id":"https://openalex.org/G5099629963","display_name":"Dynamical Systems in Biology","funder_award_id":"9700910","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1500921805","https://openalex.org/W1506894761","https://openalex.org/W1508749862","https://openalex.org/W1533288419","https://openalex.org/W1547403762","https://openalex.org/W1548480021","https://openalex.org/W1851248039","https://openalex.org/W1955491099","https://openalex.org/W1966552169","https://openalex.org/W1986952172","https://openalex.org/W1995608339","https://openalex.org/W2019619617","https://openalex.org/W2057856236","https://openalex.org/W2073162966","https://openalex.org/W2088946408","https://openalex.org/W2094247338","https://openalex.org/W2110668450","https://openalex.org/W2134578687","https://openalex.org/W2171456569","https://openalex.org/W2499673328","https://openalex.org/W3111685920","https://openalex.org/W4211137119","https://openalex.org/W4213354399","https://openalex.org/W4232082450","https://openalex.org/W4237564398","https://openalex.org/W4252433679","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3036101264","https://openalex.org/W2163151373","https://openalex.org/W1986676657","https://openalex.org/W1523233633","https://openalex.org/W4238257821","https://openalex.org/W2165001118","https://openalex.org/W2022713607","https://openalex.org/W2794551621","https://openalex.org/W4246396821","https://openalex.org/W2117771759"],"abstract_inverted_index":{"A":[0,42,95],"mathematical":[1],"model":[2,33,71],"of":[3,14,29,73,76,84,101,107,116],"microbial":[4],"competition":[5,103],"for":[6,10],"limiting":[7,27],"nutrients":[8],"and":[9,38,53,60,81,93],"a":[11,26,74,108],"limited":[12],"set":[13],"available":[15],"wall-attachment":[16],"sites":[17],"in":[18,35,48,51,98],"an":[19],"advection-dominated":[20],"tubular":[21,127],"reactor":[22,44],"is":[23,104],"formulated":[24],"as":[25],"case":[28,100],"the":[30,99,105,114,117,126],"more":[31],"general":[32],"considered":[34],"[M.":[36],"Ballyk":[37],"H.":[39],"L.":[40],"Smith,":[41],"flow":[43],"with":[45],"wall":[46],"growth,":[47],"Mathematical":[49],"Models":[50],"Medical":[52],"Health":[54],"Sciences,":[55],"M.":[56],"Horn,":[57],"G.":[58,61],"Simonett,":[59],"Webb,":[62],"eds.,":[63],"Vanderbilt":[64],"University":[65],"Press,":[66],"Nashville,":[67],"TN,":[68],"1998].":[69],"The":[70,79],"consists":[72],"system":[75],"hyperbolic":[77],"PDE.":[78],"existence":[80,106],"stability":[82],"properties":[83],"its":[85],"steady":[86,109],"state":[87,110],"solutions":[88],"are":[89],"investigated,":[90],"both":[91],"analytically":[92],"numerically.":[94],"surprising":[96],"finding":[97],"two-strain":[102],"solution":[111],"characterized":[112],"by":[113],"segregation":[115],"two":[118],"bacterial":[119],"strains":[120],"to":[121],"separate":[122],"nonoverlapping":[123],"segments":[124],"along":[125],"reactor.":[128]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}