{"id":"https://openalex.org/W2618518959","doi":"https://doi.org/10.1155/2017/5924270","title":"Finding Solvable Units of Variables in Nonlinear ODEs of ECM Degradation Pathway Network","display_name":"Finding Solvable Units of Variables in Nonlinear ODEs of ECM Degradation Pathway Network","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2618518959","doi":"https://doi.org/10.1155/2017/5924270","mag":"2618518959","pmid":"https://pubmed.ncbi.nlm.nih.gov/28638440"},"language":"en","primary_location":{"id":"doi:10.1155/2017/5924270","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/5924270","pdf_url":"http://downloads.hindawi.com/journals/cmmm/2017/5924270.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"http://downloads.hindawi.com/journals/cmmm/2017/5924270.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065214311","display_name":"Shuji Kawasaki","orcid":"https://orcid.org/0000-0002-6298-1065"},"institutions":[{"id":"https://openalex.org/I173009982","display_name":"Iwate University","ror":"https://ror.org/04cd75h10","country_code":"JP","type":"education","lineage":["https://openalex.org/I173009982"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Shuji Kawasaki","raw_affiliation_strings":["Iwate University, Morioka 020-8550, Japan"],"raw_orcid":"https://orcid.org/0000-0002-6298-1065","affiliations":[{"raw_affiliation_string":"Iwate University, Morioka 020-8550, Japan","institution_ids":["https://openalex.org/I173009982"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006280371","display_name":"Dhisa Minerva","orcid":"https://orcid.org/0000-0001-5767-3546"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Dhisa Minerva","raw_affiliation_strings":["Osaka University, Toyonaka 560-8531, Japan"],"raw_orcid":"https://orcid.org/0000-0001-5767-3546","affiliations":[{"raw_affiliation_string":"Osaka University, Toyonaka 560-8531, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035496274","display_name":"Keiko Itano","orcid":"https://orcid.org/0000-0002-3573-1407"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Keiko Itano","raw_affiliation_strings":["Osaka University, Toyonaka 560-8531, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Osaka University, Toyonaka 560-8531, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056423526","display_name":"Takashi Suzuki","orcid":"https://orcid.org/0000-0002-0203-5587"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takashi Suzuki","raw_affiliation_strings":["Osaka University, Toyonaka 560-8531, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Osaka University, Toyonaka 560-8531, Japan","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5065214311"],"corresponding_institution_ids":["https://openalex.org/I173009982"],"apc_list":{"value":2100,"currency":"USD","value_usd":2100},"apc_paid":{"value":2100,"currency":"USD","value_usd":2100},"fwci":0.3364,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.59739381,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2017","issue":null,"first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13326","display_name":"Biochemical and Structural Characterization","score":0.9757999777793884,"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"}},"topics":[{"id":"https://openalex.org/T13326","display_name":"Biochemical and Structural Characterization","score":0.9757999777793884,"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/T11663","display_name":"Viral Infectious Diseases and Gene Expression in Insects","score":0.911300003528595,"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/ode","display_name":"Ode","score":0.6255911588668823},{"id":"https://openalex.org/keywords/degradation","display_name":"Degradation (telecommunications)","score":0.5877679586410522},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5223206877708435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43985262513160706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4044284224510193},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3588830232620239},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33407750725746155},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.3275300860404968},{"id":"https://openalex.org/keywords/computational-biology","display_name":"Computational biology","score":0.32411736249923706},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1259412169456482},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11603590846061707}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.6255911588668823},{"id":"https://openalex.org/C2779679103","wikidata":"https://www.wikidata.org/wiki/Q5251805","display_name":"Degradation (telecommunications)","level":2,"score":0.5877679586410522},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5223206877708435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43985262513160706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4044284224510193},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3588830232620239},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33407750725746155},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.3275300860404968},{"id":"https://openalex.org/C70721500","wikidata":"https://www.wikidata.org/wiki/Q177005","display_name":"Computational biology","level":1,"score":0.32411736249923706},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1259412169456482},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11603590846061707},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005109","descriptor_name":"Extracellular Matrix","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D005109","descriptor_name":"Extracellular Matrix","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D005109","descriptor_name":"Extracellular Matrix","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1155/2017/5924270","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/5924270","pdf_url":"http://downloads.hindawi.com/journals/cmmm/2017/5924270.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},{"id":"pmid:28638440","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28638440","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":"Computational and mathematical methods in medicine","raw_type":null},{"id":"pmh:oai:doaj.org/article:f8bfd2ad3d6b4b53bad870f7d0c9825b","is_oa":false,"landing_page_url":"https://doaj.org/article/f8bfd2ad3d6b4b53bad870f7d0c9825b","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computational and Mathematical Methods in Medicine, Vol 2017 (2017)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:4324718","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5468780","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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":null,"raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1155/2017/5924270","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/5924270","pdf_url":"http://downloads.hindawi.com/journals/cmmm/2017/5924270.pdf","source":{"id":"https://openalex.org/S36980176","display_name":"Computational and Mathematical Methods in Medicine","issn_l":"1748-670X","issn":["1748-670X","1748-6718"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Mathematical Methods in Medicine","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life in Land","score":0.7200000286102295,"id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G3823756510","display_name":null,"funder_award_id":"16H06576","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G441256285","display_name":null,"funder_award_id":"24654023","funder_id":"https://openalex.org/F4320334789","funder_display_name":"Japan Science and Technology Agency"},{"id":"https://openalex.org/G5767099252","display_name":null,"funder_award_id":"16H06576","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G6687529096","display_name":null,"funder_award_id":"24654023","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G6718509927","display_name":null,"funder_award_id":"CREST","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320334789","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320338075","display_name":"Core Research for Evolutional Science and Technology","ror":"https://ror.org/00097mb19"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2618518959.pdf","grobid_xml":"https://content.openalex.org/works/W2618518959.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1979390430","https://openalex.org/W2024217848","https://openalex.org/W2087485523","https://openalex.org/W2143843964"],"related_works":["https://openalex.org/W2371448224","https://openalex.org/W3134495997","https://openalex.org/W2363680170","https://openalex.org/W2376428685","https://openalex.org/W4256082577","https://openalex.org/W625783435","https://openalex.org/W2048742619","https://openalex.org/W2384641672","https://openalex.org/W2742179975","https://openalex.org/W2362647823"],"abstract_inverted_index":{"We":[0],"consider":[1],"ordinary":[2],"differential":[3],"equation":[4],"(ODE)":[5],"model":[6],"for":[7,64],"a":[8,32],"pathway":[9],"network":[10],"that":[11,52,69],"arises":[12],"in":[13,49,59,75],"extracellular":[14],"matrix":[15],"(ECM)":[16],"degradation.":[17],"For":[18],"solving":[19],"the":[20,25,50,65,70,83],"ODEs,":[21],"we":[22],"propose":[23],"applying":[24],"mass":[26],"conservation":[27],"law":[28],"(MCL),":[29],"together":[30],"with":[31,78],"stoichiometry":[33],"called":[34],"doubling":[35],"rule":[36],",":[37],"to":[38,43],"them.":[39],"Then":[40],"it":[41],"leads":[42],"extracting":[44],"new":[45],"units":[46],"of":[47],"variables":[48],"ODEs":[51],"can":[53],"be":[54],"solved":[55],"explicitly,":[56],"at":[57],"least":[58],"principle.":[60],"The":[61],"simulation":[62],"results":[63],"ODE":[66],"solutions":[67,72,80],"show":[68],"numerical":[71],"are":[73],"indeed":[74],"good":[76],"accord":[77],"theoretical":[79],"and":[81],"satisfy":[82],"MALs.":[84]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
