{"id":"https://openalex.org/W4391170329","doi":"https://doi.org/10.1137/22m1511023","title":"A Domain Decomposition Method for Solution of a PDE-Constrained Generalized Nash Equilibrium Model of Biofilm Community Metabolism","display_name":"A Domain Decomposition Method for Solution of a PDE-Constrained Generalized Nash Equilibrium Model of Biofilm Community Metabolism","publication_year":2024,"publication_date":"2024-01-24","ids":{"openalex":"https://openalex.org/W4391170329","doi":"https://doi.org/10.1137/22m1511023"},"language":"en","primary_location":{"id":"doi:10.1137/22m1511023","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1511023","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/A5000849190","display_name":"Isaac Klapper","orcid":"https://orcid.org/0000-0002-7020-774X"},"institutions":[{"id":"https://openalex.org/I84392919","display_name":"Temple University","ror":"https://ror.org/00kx1jb78","country_code":"US","type":"education","lineage":["https://openalex.org/I84392919"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Isaac Klapper","raw_affiliation_strings":["Department of Mathematics, Temple University, Philadelphia, PA 19122 USA"],"raw_orcid":"https://orcid.org/0000-0002-7020-774X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Temple University, Philadelphia, PA 19122 USA","institution_ids":["https://openalex.org/I84392919"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047875137","display_name":"Daniel B. Szyld","orcid":"https://orcid.org/0000-0001-8010-0391"},"institutions":[{"id":"https://openalex.org/I84392919","display_name":"Temple University","ror":"https://ror.org/00kx1jb78","country_code":"US","type":"education","lineage":["https://openalex.org/I84392919"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel\u00a0B. Szyld","raw_affiliation_strings":["Department of Mathematics, Temple University, Philadelphia, PA 19122 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Temple University, Philadelphia, PA 19122 USA","institution_ids":["https://openalex.org/I84392919"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039790968","display_name":"Xinli Yu","orcid":"https://orcid.org/0000-0002-8211-8058"},"institutions":[{"id":"https://openalex.org/I84392919","display_name":"Temple University","ror":"https://ror.org/00kx1jb78","country_code":"US","type":"education","lineage":["https://openalex.org/I84392919"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xinli Yu","raw_affiliation_strings":["Department of Mathematics, Temple University, Philadelphia, PA 19122 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Temple University, Philadelphia, PA 19122 USA","institution_ids":["https://openalex.org/I84392919"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072461088","display_name":"Karsten Zengler","orcid":"https://orcid.org/0000-0002-8062-3296"},"institutions":[{"id":"https://openalex.org/I4210133661","display_name":"La Jolla Bioengineering Institute","ror":"https://ror.org/03sgbh608","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210133661"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Karsten Zengler","raw_affiliation_strings":["Departments of Pediatrics and Bioengineering, University of California, San Diego, La Jolla, CA 92093 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Pediatrics and Bioengineering, University of California, San Diego, La Jolla, CA 92093 USA","institution_ids":["https://openalex.org/I4210133661"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100425856","display_name":"Tianyu Zhang","orcid":"https://orcid.org/0000-0002-7469-1364"},"institutions":[{"id":"https://openalex.org/I23732399","display_name":"Montana State University","ror":"https://ror.org/02w0trx84","country_code":"US","type":"education","lineage":["https://openalex.org/I23732399","https://openalex.org/I4210126032"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tianyu Zhang","raw_affiliation_strings":["Department of Mathematical Sciences, Montana State University, Bozeman, MT 59717-2400 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Montana State University, Bozeman, MT 59717-2400 USA","institution_ids":["https://openalex.org/I23732399"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084064381","display_name":"Cristal Z\u00fa\u00f1iga","orcid":"https://orcid.org/0000-0002-0135-7429"},"institutions":[{"id":"https://openalex.org/I26538001","display_name":"San Diego State University","ror":"https://ror.org/0264fdx42","country_code":"US","type":"education","lineage":["https://openalex.org/I26538001"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cristal Z\u00fa\u00f1iga","raw_affiliation_strings":["Department of Biology, San Diego State University, San Diego, CA 92182-4614 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biology, San Diego State University, San Diego, CA 92182-4614 USA","institution_ids":["https://openalex.org/I26538001"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000849190"],"corresponding_institution_ids":["https://openalex.org/I84392919"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00807786,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"84","issue":"1","first_page":"97","last_page":"113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9994999766349792,"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/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9994999766349792,"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/T10476","display_name":"Algal biology and biofuel production","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11231","display_name":"Microbial Fuel Cells and Bioremediation","score":0.9805999994277954,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6566739678382874},{"id":"https://openalex.org/keywords/biofilm","display_name":"Biofilm","score":0.5724970698356628},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.522347092628479},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.509311318397522},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5085488557815552},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.4873681664466858},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47136011719703674},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45782455801963806},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.3334343433380127},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3206166625022888},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2329622209072113},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1483520269393921},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11288759112358093},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1053861677646637},{"id":"https://openalex.org/keywords/bacteria","display_name":"Bacteria","score":0.10534971952438354},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10389912128448486}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6566739678382874},{"id":"https://openalex.org/C58123911","wikidata":"https://www.wikidata.org/wiki/Q467410","display_name":"Biofilm","level":3,"score":0.5724970698356628},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.522347092628479},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.509311318397522},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5085488557815552},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.4873681664466858},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47136011719703674},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45782455801963806},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.3334343433380127},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3206166625022888},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2329622209072113},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1483520269393921},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11288759112358093},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1053861677646637},{"id":"https://openalex.org/C523546767","wikidata":"https://www.wikidata.org/wiki/Q10876","display_name":"Bacteria","level":2,"score":0.10534971952438354},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10389912128448486},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1511023","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1511023","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"id":"https://metadata.un.org/sdg/2","display_name":"Zero hunger"}],"awards":[{"id":"https://openalex.org/G3047894902","display_name":"Life on the Rocks:  Chronic Subaerial Microbial Biofilms on Stone Monuments","funder_award_id":"1951532","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5652888369","display_name":"Collaborative Research: Connecting Omics to Physical and Chemical Environment in Community Microbial Ecology","funder_award_id":"1517100","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6563690026","display_name":"eMB:  Collaborative Research: ML/AI-assisted environmental scale microbial nonlinear metabolic models","funder_award_id":"2325170","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":42,"referenced_works":["https://openalex.org/W1481089457","https://openalex.org/W1542243431","https://openalex.org/W1548589512","https://openalex.org/W1971992009","https://openalex.org/W1976301881","https://openalex.org/W1977794212","https://openalex.org/W1996064131","https://openalex.org/W2006651269","https://openalex.org/W2022684902","https://openalex.org/W2024995147","https://openalex.org/W2030834073","https://openalex.org/W2046760236","https://openalex.org/W2048465561","https://openalex.org/W2048596643","https://openalex.org/W2078355959","https://openalex.org/W2082900223","https://openalex.org/W2082927871","https://openalex.org/W2090963365","https://openalex.org/W2092622303","https://openalex.org/W2112303554","https://openalex.org/W2117919754","https://openalex.org/W2120753451","https://openalex.org/W2122093325","https://openalex.org/W2124713748","https://openalex.org/W2147472054","https://openalex.org/W2150014559","https://openalex.org/W2150900885","https://openalex.org/W2161112276","https://openalex.org/W2162241008","https://openalex.org/W2290703973","https://openalex.org/W2333478117","https://openalex.org/W2569441924","https://openalex.org/W2577663557","https://openalex.org/W2592772317","https://openalex.org/W2739410635","https://openalex.org/W2903512824","https://openalex.org/W2910511306","https://openalex.org/W3032410216","https://openalex.org/W3113203592","https://openalex.org/W3176247323","https://openalex.org/W4232012457","https://openalex.org/W4238101851"],"related_works":["https://openalex.org/W2756188369","https://openalex.org/W2947973176","https://openalex.org/W4246525962","https://openalex.org/W2948279684","https://openalex.org/W2087552300","https://openalex.org/W4220932551","https://openalex.org/W2332685989","https://openalex.org/W2130763979","https://openalex.org/W4318443328","https://openalex.org/W2392036275"],"abstract_inverted_index":{".Microbes":[0],"are":[1,39,47],"able":[2],"to":[3,32,49],"deploy":[4],"different":[5],"strategies":[6,59],"in":[7,42,53],"response":[8],"to,":[9],"and":[10,56,86],"depending":[11],"upon,":[12],"local":[13],"environmental":[14,33],"conditions.":[15],"In":[16],"the":[17,74],"setting":[18],"of":[19,97],"a":[20,26,54,82,88,98],"microbial":[21,58,67,102],"community,":[22,85],"this":[23],"property":[24],"induces":[25],"Nash":[27,78,114],"equilibrium":[28,79],"problem":[29,80],"because":[30],"access":[31],"resources":[34,46,64],"is":[35,111],"bounded.":[36],"If":[37],"microbes":[38],"also":[40],"distributed":[41],"space,":[43],"then":[44],"those":[45],"subject":[48],"transport":[50],"limitations":[51],"(encoded":[52],"PDE)":[55],"so":[57],"at":[60,69],"one":[61],"location":[62],"influence":[63],"and,":[65],"hence,":[66],"strategies,":[68],"another.":[70],"Here":[71],"we":[72],"formulate":[73],"resulting":[75],"PDE-coupled":[76],"generalized":[77],"for":[81,91],"multispecies":[83],"biofilm":[84,104],"propose":[87],"domain-decomposition-based":[89],"method":[90],"its":[92],"solution.":[93],"An":[94],"example":[95],"consisting":[96],"model":[99],"with":[100,105],"two":[101],"species":[103],"33":[106],"externally":[107],"transported":[108],"chemical":[109],"concentrations":[110],"presented.Keywordsbiofilmsmicrobial":[112],"metabolismgeneralized":[113],"equilibriumdomain":[115],"decompositionMSC":[116],"codes92D2591A1365N55":[117]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
