{"id":"https://openalex.org/W2012470375","doi":"https://doi.org/10.1137/110860306","title":"Modeling Impulsive Injections of Insulin: Towards Artificial Pancreas","display_name":"Modeling Impulsive Injections of Insulin: Towards Artificial Pancreas","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2012470375","doi":"https://doi.org/10.1137/110860306","mag":"2012470375"},"language":"en","primary_location":{"id":"doi:10.1137/110860306","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110860306","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/A5085923039","display_name":"Mingzhan Huang","orcid":"https://orcid.org/0000-0002-7662-7729"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mingzhan Huang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101446047","display_name":"Jiaxu Li","orcid":"https://orcid.org/0009-0008-9445-4666"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiaxu Li","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011765589","display_name":"Xinyu Song","orcid":"https://orcid.org/0000-0002-3861-1320"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xinyu Song","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5009355353","display_name":"Hongjian Guo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hongjian Guo","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5085923039"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.5668,"has_fulltext":false,"cited_by_count":121,"citation_normalized_percentile":{"value":0.95351492,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"72","issue":"5","first_page":"1524","last_page":"1548"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10560","display_name":"Diabetes Management and Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2712","display_name":"Endocrinology, Diabetes and Metabolism"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10560","display_name":"Diabetes Management and Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2712","display_name":"Endocrinology, Diabetes and Metabolism"},"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/T10839","display_name":"Pancreatic function and diabetes","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2746","display_name":"Surgery"},"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/T11171","display_name":"Diabetes and associated disorders","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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/artificial-pancreas","display_name":"Artificial pancreas","score":0.7133274674415588},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7088170051574707},{"id":"https://openalex.org/keywords/insulin","display_name":"Insulin","score":0.6575106978416443},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5183321237564087},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5170691609382629},{"id":"https://openalex.org/keywords/glucose-homeostasis","display_name":"Glucose homeostasis","score":0.5045088529586792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4749614894390106},{"id":"https://openalex.org/keywords/diabetes-mellitus","display_name":"Diabetes mellitus","score":0.4580773711204529},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44843006134033203},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4330497980117798},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3915708661079407},{"id":"https://openalex.org/keywords/type-1-diabetes","display_name":"Type 1 diabetes","score":0.38456857204437256},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.3270688056945801},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32512202858924866},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.258354127407074},{"id":"https://openalex.org/keywords/endocrinology","display_name":"Endocrinology","score":0.24593791365623474},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22991052269935608},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.17139598727226257},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12643906474113464},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10217735171318054},{"id":"https://openalex.org/keywords/insulin-resistance","display_name":"Insulin resistance","score":0.0761435329914093}],"concepts":[{"id":"https://openalex.org/C2780353609","wikidata":"https://www.wikidata.org/wiki/Q1569064","display_name":"Artificial pancreas","level":4,"score":0.7133274674415588},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7088170051574707},{"id":"https://openalex.org/C2779306644","wikidata":"https://www.wikidata.org/wiki/Q2002370","display_name":"Insulin","level":2,"score":0.6575106978416443},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5183321237564087},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5170691609382629},{"id":"https://openalex.org/C3018667095","wikidata":"https://www.wikidata.org/wiki/Q3455903","display_name":"Glucose homeostasis","level":4,"score":0.5045088529586792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4749614894390106},{"id":"https://openalex.org/C555293320","wikidata":"https://www.wikidata.org/wiki/Q12206","display_name":"Diabetes mellitus","level":2,"score":0.4580773711204529},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44843006134033203},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4330497980117798},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3915708661079407},{"id":"https://openalex.org/C2781232474","wikidata":"https://www.wikidata.org/wiki/Q124407","display_name":"Type 1 diabetes","level":3,"score":0.38456857204437256},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.3270688056945801},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32512202858924866},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.258354127407074},{"id":"https://openalex.org/C134018914","wikidata":"https://www.wikidata.org/wiki/Q162606","display_name":"Endocrinology","level":1,"score":0.24593791365623474},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22991052269935608},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.17139598727226257},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12643906474113464},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10217735171318054},{"id":"https://openalex.org/C2777391703","wikidata":"https://www.wikidata.org/wiki/Q1053470","display_name":"Insulin resistance","level":3,"score":0.0761435329914093},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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":1,"locations":[{"id":"doi:10.1137/110860306","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110860306","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":0.7699999809265137,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1844237527","https://openalex.org/W1975007709","https://openalex.org/W1978613422","https://openalex.org/W1982383591","https://openalex.org/W1991835641","https://openalex.org/W2000837048","https://openalex.org/W2018147976","https://openalex.org/W2029679825","https://openalex.org/W2043453310","https://openalex.org/W2044184042","https://openalex.org/W2059279902","https://openalex.org/W2060091529","https://openalex.org/W2115631661","https://openalex.org/W2123658935","https://openalex.org/W2132722793","https://openalex.org/W2134653585","https://openalex.org/W2147777351","https://openalex.org/W2151848469","https://openalex.org/W2158671704","https://openalex.org/W2159047663","https://openalex.org/W2161967671","https://openalex.org/W2165809195","https://openalex.org/W2168814550","https://openalex.org/W2319929992","https://openalex.org/W2378967236","https://openalex.org/W2397986262","https://openalex.org/W4238770017"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4309021794","https://openalex.org/W2167160009","https://openalex.org/W2891785890","https://openalex.org/W2265027927","https://openalex.org/W2117748324","https://openalex.org/W1991978558","https://openalex.org/W2538031581","https://openalex.org/W2616561702"],"abstract_inverted_index":{"We":[0,31,75,124],"propose":[1],"two":[2,198,211],"novel":[3],"mathematical":[4],"models":[5],"with":[6,240,254],"impulsive":[7,27],"injection":[8,28,58,106,144,201,204],"of":[9,29,38,131,169,183,197,222,236,289],"insulin":[10,57,105,257,291],"or":[11,116],"its":[12],"analogues":[13],"for":[14,46,84,208,270],"type":[15,18,47,85],"1":[16,48],"and":[17,36,98,129,162,167,203,259,266,287,293],"2":[19,86],"diabetes":[20],"mellitus.":[21],"One":[22],"model":[23,102,174,199,217],"incorporates":[24],"the":[25,34,53,65,79,90,104,110,127,132,140,143,152,165,180,195,220,225,234,244,271,285,290],"periodic":[26,44,135],"insulin.":[30],"analytically":[32,125],"show":[33,77],"existence":[35,128],"uniqueness":[37],"a":[39,68,72,118,184,190,252,255,274],"positive":[40],"globally":[41],"asymptotically":[42],"stable":[43],"solution":[45],"diabetes,":[49,87],"which":[50,137],"implies":[51],"that":[52,78,88,139,179,251],"perturbation":[54,141],"caused":[55],"by":[56,107,142,193],"will":[59],"not":[60],"disturb":[61],"homeostasis":[62],"but":[63,120,268],"amend":[64],"glucose":[66,91,111,154,181],"from":[67],"pathological":[69],"level":[70,93,112,182,192],"toward":[71],"healthier":[73],"level.":[74],"also":[76],"system":[80],"is":[81,94,213,263,277],"uniformly":[82,95],"permanent":[83],"is,":[89,218],"concentration":[92,155],"bounded":[96],"above":[97],"below.":[99],"The":[100,172,215],"other":[101],"determines":[103],"closely":[108],"monitoring":[109],"when":[113],"it":[114],"reaches":[115],"passes":[117],"predefined":[119],"adjustable":[121],"threshold":[122],"value.":[123],"prove":[126],"stability":[130],"order":[133],"one":[134],"solution,":[136],"ensures":[138],"in":[145,178,233,284],"such":[146],"an":[147,237],"automated":[148],"way":[149],"can":[150,186,281],"keep":[151],"blood":[153],"under":[156],"control.":[157],"Our":[158],"numerical":[159,248],"analysis":[160,249],"confirms":[161],"further":[163],"enhances":[164],"usefulness":[166],"robustness":[168],"our":[170,223,247],"models.":[171],"first":[173,226],"has":[175],"clinical":[176],"implications":[177],"diabetic":[185],"be":[187,282],"controlled":[188],"within":[189],"desired":[191],"adjusting":[194],"values":[196],"parameters,":[200],"period":[202],"dose.":[205],"A":[206],"method":[207],"choosing":[209],"these":[210],"parameters":[212],"described.":[214],"second":[216],"to":[219,228],"best":[221],"knowledge,":[224],"attempt":[227],"conquer":[229],"some":[230],"critical":[231],"issues":[232],"design":[235,286],"artificial":[238,294],"pancreas":[239],"closed-loop":[241],"approach.":[242],"For":[243],"former":[245],"case,":[246,273],"reveals":[250],"regime":[253],"smaller":[256],"dose":[258,276],"more":[260,264,278],"frequent":[261],"deliveries":[262],"efficient":[265],"effective,":[267],"surprisingly,":[269],"latter":[272],"larger":[275],"effective.":[279],"This":[280],"significant":[283],"development":[288],"pump":[292],"pancreas.":[295]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":4}],"updated_date":"2026-03-24T08:02:53.985720","created_date":"2025-10-10T00:00:00"}