{"id":"https://openalex.org/W4392716565","doi":"https://doi.org/10.1371/journal.pcbi.1011916","title":"AI-Aristotle: A physics-informed framework for systems biology gray-box identification","display_name":"AI-Aristotle: A physics-informed framework for systems biology gray-box identification","publication_year":2024,"publication_date":"2024-03-12","ids":{"openalex":"https://openalex.org/W4392716565","doi":"https://doi.org/10.1371/journal.pcbi.1011916","pmid":"https://pubmed.ncbi.nlm.nih.gov/38470870"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1011916","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1011916","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1011916&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1011916&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093005858","display_name":"Nazanin Ahmadi Daryakenari","orcid":null},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nazanin Ahmadi Daryakenari","raw_affiliation_strings":["Center for Biomedical Engineering, School of Engineering, Brown University, Providence, Rhode Island, United States of America"],"raw_orcid":"https://orcid.org/0000-0003-2485-8987","affiliations":[{"raw_affiliation_string":"Center for Biomedical Engineering, School of Engineering, Brown University, Providence, Rhode Island, United States of America","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026608846","display_name":"Mario De Florio","orcid":"https://orcid.org/0000-0003-2285-3074"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mario De Florio","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America"],"raw_orcid":"https://orcid.org/0000-0003-2285-3074","affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102998462","display_name":"Khemraj Shukla","orcid":"https://orcid.org/0000-0002-2262-7264"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Khemraj Shukla","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America","institution_ids":["https://openalex.org/I27804330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009658255","display_name":"George Em Karniadakis","orcid":"https://orcid.org/0000-0002-9713-7120"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"George Em Karniadakis","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America"],"raw_orcid":"https://orcid.org/0000-0002-9713-7120","affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America","institution_ids":["https://openalex.org/I27804330"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5009658255","https://openalex.org/A5026608846","https://openalex.org/A5093005858","https://openalex.org/A5102998462"],"corresponding_institution_ids":["https://openalex.org/I27804330"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":12.6799,"has_fulltext":true,"cited_by_count":48,"citation_normalized_percentile":{"value":0.99392758,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"20","issue":"3","first_page":"e1011916","last_page":"e1011916"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10044","display_name":"Protein Structure and Dynamics","score":0.982200026512146,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9509000182151794,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6071560382843018},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5820683836936951},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.569713294506073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5526762008666992},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5200471878051758},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.5074250102043152},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4688991606235504},{"id":"https://openalex.org/keywords/systems-biology","display_name":"Systems biology","score":0.4648951590061188},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4302331507205963},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.425129234790802},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.25785285234451294},{"id":"https://openalex.org/keywords/bioinformatics","display_name":"Bioinformatics","score":0.17240604758262634},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.16801008582115173},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16489025950431824}],"concepts":[{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6071560382843018},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5820683836936951},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.569713294506073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5526762008666992},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5200471878051758},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.5074250102043152},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4688991606235504},{"id":"https://openalex.org/C152662350","wikidata":"https://www.wikidata.org/wiki/Q815297","display_name":"Systems biology","level":2,"score":0.4648951590061188},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4302331507205963},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.425129234790802},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.25785285234451294},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.17240604758262634},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.16801008582115173},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16489025950431824},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"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},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000069550","descriptor_name":"Machine Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000069550","descriptor_name":"Machine Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000069550","descriptor_name":"Machine Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000069550","descriptor_name":"Machine Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000069550","descriptor_name":"Machine Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D010825","descriptor_name":"Physics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010825","descriptor_name":"Physics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010825","descriptor_name":"Physics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010825","descriptor_name":"Physics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010825","descriptor_name":"Physics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019985","descriptor_name":"Benchmarking","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019985","descriptor_name":"Benchmarking","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019985","descriptor_name":"Benchmarking","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D049490","descriptor_name":"Systems Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D049490","descriptor_name":"Systems Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D049490","descriptor_name":"Systems Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D049490","descriptor_name":"Systems Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D049490","descriptor_name":"Systems Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1371/journal.pcbi.1011916","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1011916","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1011916&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},{"id":"pmid:38470870","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38470870","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:10931529","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10931529","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10931529/pdf/pcbi.1011916.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"PLoS Comput Biol","raw_type":"Text"},{"id":"pmh:oai:RePEc:plo:pcbi00:1011916","is_oa":false,"landing_page_url":"https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1011916","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1011916","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1011916","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1011916&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6200000047683716,"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being"}],"awards":[{"id":"https://openalex.org/G3540750476","display_name":null,"funder_award_id":"N00014-22-1-2795","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G4720003262","display_name":null,"funder_award_id":"N00014-22","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G6024763956","display_name":null,"funder_award_id":"R01HL154150","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392716565.pdf","grobid_xml":"https://content.openalex.org/works/W4392716565.grobid-xml"},"referenced_works_count":60,"referenced_works":["https://openalex.org/W1512208174","https://openalex.org/W1844237527","https://openalex.org/W1986278072","https://openalex.org/W2049161806","https://openalex.org/W2051434435","https://openalex.org/W2056542068","https://openalex.org/W2111072639","https://openalex.org/W2135046866","https://openalex.org/W2142894919","https://openalex.org/W2155910151","https://openalex.org/W2156435365","https://openalex.org/W2239232218","https://openalex.org/W2594619940","https://openalex.org/W2763307945","https://openalex.org/W2778033595","https://openalex.org/W2782083374","https://openalex.org/W2793858867","https://openalex.org/W2794698996","https://openalex.org/W2896187249","https://openalex.org/W2899283552","https://openalex.org/W2990446186","https://openalex.org/W3011806874","https://openalex.org/W3016401366","https://openalex.org/W3080266364","https://openalex.org/W3093127984","https://openalex.org/W3093210931","https://openalex.org/W3095725175","https://openalex.org/W3099892132","https://openalex.org/W3132893966","https://openalex.org/W3137439803","https://openalex.org/W3152689195","https://openalex.org/W3170003932","https://openalex.org/W3173192644","https://openalex.org/W3176958767","https://openalex.org/W3197818013","https://openalex.org/W3198222539","https://openalex.org/W3199618324","https://openalex.org/W4200354342","https://openalex.org/W4226325816","https://openalex.org/W4229015109","https://openalex.org/W4250955649","https://openalex.org/W4281563166","https://openalex.org/W4281967127","https://openalex.org/W4283322134","https://openalex.org/W4283359998","https://openalex.org/W4285299502","https://openalex.org/W4308469717","https://openalex.org/W4308979219","https://openalex.org/W4321082218","https://openalex.org/W4365145591","https://openalex.org/W4365458359","https://openalex.org/W4365505884","https://openalex.org/W4366351147","https://openalex.org/W4367365536","https://openalex.org/W4380874473","https://openalex.org/W4381470412","https://openalex.org/W4385260253","https://openalex.org/W4386069224","https://openalex.org/W4387232549","https://openalex.org/W4389067443"],"related_works":["https://openalex.org/W2389214306","https://openalex.org/W4235240664","https://openalex.org/W2965083567","https://openalex.org/W1838576100","https://openalex.org/W2095886385","https://openalex.org/W2889616422","https://openalex.org/W2089704382","https://openalex.org/W1983399550","https://openalex.org/W97075385","https://openalex.org/W2357523926"],"abstract_inverted_index":{"Discovering":[0],"mathematical":[1],"equations":[2],"that":[3],"govern":[4],"physical":[5],"and":[6,28,51,64,73,90,106,108,148,173],"biological":[7],"systems":[8,170],"from":[9],"observed":[10],"data":[11,131],"is":[12],"a":[13,21,85,158],"fundamental":[14],"challenge":[15],"in":[16,33,82,167,171],"scientific":[17],"research.":[18],"We":[19,67,98],"present":[20],"new":[22],"physics-informed":[23],"framework":[24],"for":[25,61,95,161],"parameter":[26,62],"estimation":[27],"missing":[29],"physics":[30],"identification":[31,165],"(gray-box)":[32],"the":[34,43,69,100,123,144],"field":[35],"of":[36,46,75,125,150],"Systems":[37,83],"Biology.":[38],"The":[39],"proposed":[40],"framework-named":[41],"AI-Aristotle-combines":[42],"eXtreme":[44],"Theory":[45],"Functional":[47],"Connections":[48],"(X-TFC)":[49],"domain-decomposition":[50],"Physics-Informed":[52],"Neural":[53],"Networks":[54],"(PINNs)":[55],"with":[56,154],"symbolic":[57,114,155],"regression":[58,115],"(SR)":[59],"techniques":[60,116],"discovery":[63],"gray-box":[65,164],"identification.":[66],"test":[68,122],"accuracy,":[70,145],"speed,":[71],"flexibility,":[72],"robustness":[74,149],"AI-Aristotle":[76],"based":[77],"on":[78],"two":[79,101,112],"benchmark":[80],"problems":[81],"Biology:":[84],"pharmacokinetics":[86],"drug":[87],"absorption":[88],"model":[89,94],"an":[91],"ultradian":[92],"endocrine":[93],"glucose-insulin":[96],"interactions.":[97],"compare":[99],"machine":[102],"learning":[103],"methods":[104],"(X-TFC":[105],"PINNs),":[107],"moreover,":[109],"we":[110,127],"employ":[111],"different":[113],"to":[117],"cross-verify":[118],"our":[119,139],"results.":[120],"To":[121],"performance":[124],"AI-Aristotle,":[126],"use":[128],"sparse":[129],"synthetic":[130],"perturbed":[132],"by":[133],"uniformly":[134],"distributed":[135],"noise.":[136],"More":[137],"broadly,":[138],"work":[140],"provides":[141],"insights":[142],"into":[143],"cost,":[146],"scalability,":[147],"integrating":[151],"neural":[152],"networks":[153],"regressors,":[156],"offering":[157],"comprehensive":[159],"guide":[160],"researchers":[162],"tackling":[163],"challenges":[166],"complex":[168],"dynamical":[169],"biomedicine":[172],"beyond.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":12}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}