{"id":"https://openalex.org/W4311604808","doi":"https://doi.org/10.1080/00207160.2022.2159394","title":"Analysis of a semi-Lagrangian numerical method in a cell dwarfism model","display_name":"Analysis of a semi-Lagrangian numerical method in a cell dwarfism model","publication_year":2022,"publication_date":"2022-12-16","ids":{"openalex":"https://openalex.org/W4311604808","doi":"https://doi.org/10.1080/00207160.2022.2159394"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2022.2159394","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2022.2159394","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://uvadoc.uva.es/handle/10324/62421","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039570405","display_name":"L.M. Abia","orcid":"https://orcid.org/0000-0003-3417-9929"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"L. M. Abia","raw_affiliation_strings":["Facultad de Ciencias","Departamento de Matem\u00e1tica Aplicada & IMUVA, Facultad de Ciencias, Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"Facultad de Ciencias","institution_ids":[]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada & IMUVA, Facultad de Ciencias, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082141040","display_name":"O. Angulo","orcid":"https://orcid.org/0000-0003-1092-543X"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]},{"id":"https://openalex.org/I6585545","display_name":"European Telecommunications Standards Institute","ror":"https://ror.org/00pwny267","country_code":"FR","type":"nonprofit","lineage":["https://openalex.org/I6585545"]}],"countries":["ES","FR"],"is_corresponding":true,"raw_author_name":"O. Angulo","raw_affiliation_strings":["ETS de Ingenieros de Telecomunicaci\u00f3n","Departamento de Matem\u00e1tica Aplicada & IMUVA, ETS de Ingenieros de Telecomunicaci\u00f3n, Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"ETS de Ingenieros de Telecomunicaci\u00f3n","institution_ids":["https://openalex.org/I6585545"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada & IMUVA, ETS de Ingenieros de Telecomunicaci\u00f3n, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015766930","display_name":"J.C. L\u00f3pez-Marcos","orcid":"https://orcid.org/0000-0003-1870-2433"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. C. L\u00f3pez-Marcos","raw_affiliation_strings":["Facultad de Ciencias","Departamento de Matem\u00e1tica Aplicada & IMUVA, Facultad de Ciencias, Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"Facultad de Ciencias","institution_ids":[]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada & IMUVA, Facultad de Ciencias, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088082764","display_name":"M.A. L\u00f3pez-Marcos","orcid":"https://orcid.org/0000-0002-9778-888X"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. A. L\u00f3pez-Marcos","raw_affiliation_strings":["Facultad de Ciencias","Departamento de Matem\u00e1tica Aplicada & IMUVA, Facultad de Ciencias, Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"Facultad de Ciencias","institution_ids":[]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada & IMUVA, Facultad de Ciencias, Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5082141040"],"corresponding_institution_ids":["https://openalex.org/I108103353","https://openalex.org/I6585545"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12970905,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"102","issue":"1","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9991000294685364,"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":0.9991000294685364,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9387999773025513,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dwarfism","display_name":"Dwarfism","score":0.7649399638175964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7238695025444031},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.6890487670898438},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6516228914260864},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5640164017677307},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5633439421653748},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5350064039230347},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5126749277114868},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4795684218406677},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.43167799711227417},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4060068130493164},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2957494854927063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14717143774032593},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.07103413343429565}],"concepts":[{"id":"https://openalex.org/C2778111144","wikidata":"https://www.wikidata.org/wiki/Q194101","display_name":"Dwarfism","level":3,"score":0.7649399638175964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7238695025444031},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6890487670898438},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6516228914260864},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5640164017677307},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5633439421653748},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5350064039230347},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5126749277114868},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4795684218406677},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.43167799711227417},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4060068130493164},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2957494854927063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14717143774032593},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.07103413343429565},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207160.2022.2159394","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2022.2159394","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:uvadoc.uva.es:10324/62421","is_oa":true,"landing_page_url":"https://uvadoc.uva.es/handle/10324/62421","pdf_url":null,"source":{"id":"https://openalex.org/S4306401553","display_name":"UVaDOC UVaDOC University of Valladolid Documentary Repository (University of Valladolid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108103353","host_organization_name":"Universidad de Valladolid","host_organization_lineage":["https://openalex.org/I108103353"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:uvadoc.uva.es:10324/62421","is_oa":true,"landing_page_url":"https://uvadoc.uva.es/handle/10324/62421","pdf_url":null,"source":{"id":"https://openalex.org/S4306401553","display_name":"UVaDOC UVaDOC University of Valladolid Documentary Repository (University of Valladolid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108103353","host_organization_name":"Universidad de Valladolid","host_organization_lineage":["https://openalex.org/I108103353"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5099999904632568,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W36670911","https://openalex.org/W152075668","https://openalex.org/W1580699290","https://openalex.org/W1964773236","https://openalex.org/W1983735569","https://openalex.org/W1998938508","https://openalex.org/W2016568160","https://openalex.org/W2030278689","https://openalex.org/W2030968034","https://openalex.org/W2058164920","https://openalex.org/W2297256187","https://openalex.org/W2895515254","https://openalex.org/W6646360525"],"related_works":["https://openalex.org/W3161071761","https://openalex.org/W18500228","https://openalex.org/W2153775308","https://openalex.org/W2400125858","https://openalex.org/W2339200430","https://openalex.org/W1986884460","https://openalex.org/W4213328541","https://openalex.org/W2589071586","https://openalex.org/W2397415158","https://openalex.org/W2473745257"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"introduce":[4],"a":[5,13],"new":[6],"semi-Lagrangian":[7],"numerical":[8,56],"method":[9,57],"proposed":[10],"to":[11,42,73],"solve":[12],"cell":[14,20,24,96],"population":[15],"balance":[16],"model":[17],"which":[18,88],"describes":[19],"dwarfism,":[21],"by":[22],"allowing":[23],"division":[25,80],"at":[26],"any":[27],"size.":[28],"We":[29],"analyse":[30],"its":[31],"convergence":[32],"and":[33,69],"derive":[34],"an":[35],"optimal":[36],"rate.":[37],"Numerical":[38],"experiments":[39],"are":[40,71,92],"reported":[41],"demonstrate":[43],"the":[44,48,51,55,76,79,94],"predicted":[45],"accuracy":[46],"of":[47,54,67,82],"scheme.":[49],"Finally,":[50],"good":[52],"behaviour":[53],"is":[58],"exhibited":[59],"in":[60,78,87],"stressed":[61],"conditions":[62],"that":[63],"can":[64],"provoke":[65],"lack":[66],"smoothness":[68],"simulations":[70],"included":[72],"show":[74],"how":[75],"increase":[77],"rate":[81],"small":[83],"size-cells":[84],"promotes":[85],"dynamics":[86],"nonfunctional":[89],"dwarf":[90],"cells":[91],"saturating":[93],"total":[95],"population.":[97]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}