{"id":"https://openalex.org/W2611377459","doi":"https://doi.org/10.3390/e19050114","title":"The Solution of Modified Fractional Bergman\u2019s Minimal Blood Glucose-Insulin Model","display_name":"The Solution of Modified Fractional Bergman\u2019s Minimal Blood Glucose-Insulin Model","publication_year":2017,"publication_date":"2017-05-02","ids":{"openalex":"https://openalex.org/W2611377459","doi":"https://doi.org/10.3390/e19050114","mag":"2611377459"},"language":"en","primary_location":{"id":"doi:10.3390/e19050114","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19050114","pdf_url":"https://www.mdpi.com/1099-4300/19/5/114/pdf?version=1493706766","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/19/5/114/pdf?version=1493706766","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066887622","display_name":"Badr Saad T. Alkahtani","orcid":"https://orcid.org/0000-0002-2864-6888"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Badr Alkahtani","raw_affiliation_strings":["Mathematics Department, College of Science, King Saud University, Riyadh 11989, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, College of Science, King Saud University, Riyadh 11989, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058869281","display_name":"Obaid Algahtani","orcid":"https://orcid.org/0000-0002-5906-1145"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Obaid Algahtani","raw_affiliation_strings":["Mathematics Department, College of Science, King Saud University, Riyadh 11989, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, College of Science, King Saud University, Riyadh 11989, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109613224","display_name":"Ravi Prakash Dubey","orcid":null},"institutions":[{"id":"https://openalex.org/I83205935","display_name":"Malaviya National Institute of Technology Jaipur","ror":"https://ror.org/0077k1j32","country_code":"IN","type":"education","lineage":["https://openalex.org/I83205935"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ravi Dubey","raw_affiliation_strings":["Department of Mathematics, Yagyavalkya Institute of Technology, Jaipur 302035, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yagyavalkya Institute of Technology, Jaipur 302035, India","institution_ids":["https://openalex.org/I83205935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049348187","display_name":"Pranay Goswami","orcid":"https://orcid.org/0000-0003-1205-1975"},"institutions":[{"id":"https://openalex.org/I190765188","display_name":"Ambedkar University Delhi","ror":"https://ror.org/0039wpa60","country_code":"IN","type":"education","lineage":["https://openalex.org/I190765188"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Pranay Goswami","raw_affiliation_strings":["School of Liberal Studies, Ambedkar University Delhi, Delhi 110006, India"],"raw_orcid":"https://orcid.org/0000-0003-1205-1975","affiliations":[{"raw_affiliation_string":"School of Liberal Studies, Ambedkar University Delhi, Delhi 110006, India","institution_ids":["https://openalex.org/I190765188"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5049348187"],"corresponding_institution_ids":["https://openalex.org/I190765188"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.6088,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.8298951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"19","issue":"5","first_page":"114","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9818999767303467,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9818999767303467,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7812079191207886},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5789352655410767},{"id":"https://openalex.org/keywords/insulin","display_name":"Insulin","score":0.5462160110473633},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5431252717971802},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5193975567817688},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5185928344726562},{"id":"https://openalex.org/keywords/minimal-model","display_name":"Minimal model","score":0.4982779026031494},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4260566532611847},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35596179962158203},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.2613946199417114},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23345762491226196},{"id":"https://openalex.org/keywords/internal-medicine","display_name":"Internal medicine","score":0.22163435816764832},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15072807669639587}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7812079191207886},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5789352655410767},{"id":"https://openalex.org/C2779306644","wikidata":"https://www.wikidata.org/wiki/Q2002370","display_name":"Insulin","level":2,"score":0.5462160110473633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5431252717971802},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5193975567817688},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5185928344726562},{"id":"https://openalex.org/C2780032228","wikidata":"https://www.wikidata.org/wiki/Q6865324","display_name":"Minimal model","level":2,"score":0.4982779026031494},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4260566532611847},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35596179962158203},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.2613946199417114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23345762491226196},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.22163435816764832},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15072807669639587},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e19050114","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19050114","pdf_url":"https://www.mdpi.com/1099-4300/19/5/114/pdf?version=1493706766","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:180ca38ab7634a53bad40f7230ec515a","is_oa":true,"landing_page_url":"https://doaj.org/article/180ca38ab7634a53bad40f7230ec515a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 19, Iss 5, p 114 (2017)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/19/5/114/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e19050114","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 19; Issue 5; Pages: 114","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e19050114","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19050114","pdf_url":"https://www.mdpi.com/1099-4300/19/5/114/pdf?version=1493706766","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Zero hunger","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/2"}],"awards":[{"id":"https://openalex.org/G3373830645","display_name":null,"funder_award_id":"PRG-1437-35","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"},{"id":"https://openalex.org/G8778348983","display_name":null,"funder_award_id":"1437-35","funder_id":"https://openalex.org/F4320321145","funder_display_name":"King Saud University"}],"funders":[{"id":"https://openalex.org/F4320321145","display_name":"King Saud University","ror":"https://ror.org/02f81g417"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2611377459.pdf","grobid_xml":"https://content.openalex.org/works/W2611377459.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W128555905","https://openalex.org/W1534665803","https://openalex.org/W1938151753","https://openalex.org/W1975007709","https://openalex.org/W1983992802","https://openalex.org/W2049978351","https://openalex.org/W2057500778","https://openalex.org/W2106654762","https://openalex.org/W2111755928","https://openalex.org/W2113076742","https://openalex.org/W2125624587","https://openalex.org/W2134837756","https://openalex.org/W2160838947","https://openalex.org/W2187932833","https://openalex.org/W2321999550","https://openalex.org/W2550405239","https://openalex.org/W2556784265","https://openalex.org/W6605214394","https://openalex.org/W6678663635","https://openalex.org/W6686907548","https://openalex.org/W6700565008","https://openalex.org/W6729694029","https://openalex.org/W6730176618","https://openalex.org/W6995604218"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W2340777379"],"abstract_inverted_index":{"In":[0],"the":[1,36,41],"present":[2],"paper,":[3],"we":[4],"use":[5],"analytical":[6],"techniques":[7],"to":[8,22],"solve":[9],"fractional":[10],"nonlinear":[11],"differential":[12],"equations":[13],"systems":[14],"that":[15],"arise":[16],"in":[17],"Bergman\u2019s":[18],"minimal":[19],"model,":[20],"used":[21],"describe":[23],"blood":[24],"glucose":[25],"and":[26,38],"insulin":[27],"metabolism,":[28],"after":[29],"intravenous":[30],"tolerance":[31],"testing.":[32],"We":[33],"also":[34],"discuss":[35],"stability":[37],"uniqueness":[39],"of":[40],"solution.":[42]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2017-05-12T00:00:00"}
