{"id":"https://openalex.org/W4402172333","doi":"https://doi.org/10.1137/23m1579406","title":"Rigorous Derivation of Michaelis\u2013Menten Kinetics in the Presence of Slow Diffusion","display_name":"Rigorous Derivation of Michaelis\u2013Menten Kinetics in the Presence of Slow Diffusion","publication_year":2024,"publication_date":"2024-09-03","ids":{"openalex":"https://openalex.org/W4402172333","doi":"https://doi.org/10.1137/23m1579406"},"language":"en","primary_location":{"id":"doi:10.1137/23m1579406","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1579406","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","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/A5040748659","display_name":"Bao Quoc Tang","orcid":"https://orcid.org/0000-0003-1699-505X"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Bao Quoc Tang","raw_affiliation_strings":["Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstrasse 36, 8010 Graz, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstrasse 36, 8010 Graz, Austria","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019500843","display_name":"Bao\u2010Ngoc Tran","orcid":"https://orcid.org/0009-0000-4769-1281"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Bao-Ngoc Tran","raw_affiliation_strings":["Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstrasse 36, 8010 Graz, Austria, and Department of Mathematics, Faculty of Science, Nong Lam University, Ho, Chi Minh City, Vietnam"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstrasse 36, 8010 Graz, Austria, and Department of Mathematics, Faculty of Science, Nong Lam University, Ho, Chi Minh City, Vietnam","institution_ids":["https://openalex.org/I4092182"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040748659"],"corresponding_institution_ids":["https://openalex.org/I15766117"],"apc_list":null,"apc_paid":null,"fwci":1.7095,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.85502362,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"56","issue":"5","first_page":"5995","last_page":"6024"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9850000143051147,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9807000160217285,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematics","display_name":"Mathematics","score":0.8043380975723267},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6295095086097717},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5814279317855835},{"id":"https://openalex.org/keywords/kinetics","display_name":"Kinetics","score":0.5723922848701477},{"id":"https://openalex.org/keywords/michaelis\u2013menten-kinetics","display_name":"Michaelis\u2013Menten kinetics","score":0.560480535030365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5577598810195923},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.48495224118232727},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3701211214065552},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3285115659236908},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.26958900690078735},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.1567758023738861},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12607219815254211},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.06740269064903259}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8043380975723267},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6295095086097717},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5814279317855835},{"id":"https://openalex.org/C148898269","wikidata":"https://www.wikidata.org/wiki/Q1108792","display_name":"Kinetics","level":2,"score":0.5723922848701477},{"id":"https://openalex.org/C64915919","wikidata":"https://www.wikidata.org/wiki/Q613955","display_name":"Michaelis\u2013Menten kinetics","level":4,"score":0.560480535030365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5577598810195923},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.48495224118232727},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3701211214065552},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3285115659236908},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.26958900690078735},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.1567758023738861},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12607219815254211},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.06740269064903259},{"id":"https://openalex.org/C181199279","wikidata":"https://www.wikidata.org/wiki/Q8047","display_name":"Enzyme","level":2,"score":0.0},{"id":"https://openalex.org/C46141821","wikidata":"https://www.wikidata.org/wiki/Q209402","display_name":"Nuclear magnetic resonance","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},{"id":"https://openalex.org/C28212737","wikidata":"https://www.wikidata.org/wiki/Q5381543","display_name":"Enzyme assay","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1579406","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1579406","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8972613453","display_name":null,"funder_award_id":"I-5213","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W420509224","https://openalex.org/W1968834064","https://openalex.org/W1969194728","https://openalex.org/W1973118029","https://openalex.org/W2002164453","https://openalex.org/W2027095729","https://openalex.org/W2029424603","https://openalex.org/W2038581591","https://openalex.org/W2043681189","https://openalex.org/W2062427321","https://openalex.org/W2072685235","https://openalex.org/W2073089000","https://openalex.org/W2075327605","https://openalex.org/W2151539483","https://openalex.org/W2159414118","https://openalex.org/W2540116273","https://openalex.org/W2563573886","https://openalex.org/W2578089668","https://openalex.org/W2611794388","https://openalex.org/W2734972417","https://openalex.org/W2803403785","https://openalex.org/W2963277041","https://openalex.org/W2963445928","https://openalex.org/W2977802473","https://openalex.org/W2991441224","https://openalex.org/W3087179614","https://openalex.org/W3104006173","https://openalex.org/W3208066755","https://openalex.org/W4213309619","https://openalex.org/W4237669967","https://openalex.org/W4360874252"],"related_works":["https://openalex.org/W2136960356","https://openalex.org/W2069944038","https://openalex.org/W2063731290","https://openalex.org/W1980203814","https://openalex.org/W2012581922","https://openalex.org/W2091710846","https://openalex.org/W4240425852","https://openalex.org/W2136472426","https://openalex.org/W2521964199","https://openalex.org/W2092254803"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
