{"doi":"10.1155/2017/5924270","title":"Finding Solvable Units of Variables in Nonlinear ODEs of ECM Degradation Pathway Network","abstract":"<jats:p>We consider ordinary differential equation (ODE) model for a pathway network that arises in extracellular matrix (ECM) degradation. For solving the ODEs, we propose applying the mass conservation law (MCL), together with a stoichiometry called<jats:italic> doubling rule</jats:italic>, to them. Then it leads to extracting new units of variables in the ODEs that can be solved explicitly, at least in principle. The simulation results for the ODE solutions show that the numerical solutions are indeed in good accord with theoretical solutions and satisfy the MALs.</jats:p>","journal":"Computational and Mathematical Methods in Medicine","year":2017,"id":631814,"datarank":0.24141568686511508,"base_score":1.6094379124341003,"endowment":1.6094379124341003,"self_citation_contribution":0.24141568686511508,"citation_network_contribution":0.0,"self_endowment_contribution":0.24141568686511508,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":4,"citer_count":2,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1637480,"name":"Dhisa Minerva","orcid":"0000-0001-5767-3546","position":1,"is_corresponding":false},{"id":1637482,"name":"Keiko Itano","orcid":null,"position":2,"is_corresponding":false},{"id":819116,"name":"Takashi Suzuki","orcid":"0000-0003-1110-5919","position":3,"is_corresponding":false},{"id":1637478,"name":"Shuji Kawasaki","orcid":"0000-0002-6298-1065","position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Finding Solvable Units of Variables in Nonlinear ODEs of ECM Degradation Pathway Network","abstract":"<jats:p>We consider ordinary differential equation (ODE) model for a pathway network that arises in extracellular matrix (ECM) degradation. For solving the ODEs, we propose applying the mass conservation law (MCL), together with a stoichiometry called<jats:italic> doubling rule</jats:italic>, to them. Then it leads to extracting new units of variables in the ODEs that can be solved explicitly, at least in principle. The simulation results for the ODE solutions show that the numerical solutions are indeed in good accord with theoretical solutions and satisfy the MALs.</jats:p>","is_dataset_classified":null,"base_score":1.6094379124341003,"endowment":1.6094379124341003,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"28638440","pmcid":"PMC5468780","openalex_id":"https://openalex.org/W2618518959","authors":[],"funders":[{"funder_name":"Japan Society for the Promotion of Science","grant_id":"24654023","title":null},{"funder_name":"Japan Society for the Promotion of Science","grant_id":"16H06576","title":null}],"total_grants":2,"fwci":0.3041,"citation_percentile":0.5579074,"influential_citations":0,"citation_trend":[{"year":2018,"count":1},{"year":2019,"count":1},{"year":2020,"count":1},{"year":2024,"count":1}],"oa_status":"hybrid","license":"cc-by","oa_locations":[{"url":"http://downloads.hindawi.com/journals/cmmm/2017/5924270.pdf","host_type":"journal"},{"url":"http://downloads.hindawi.com/journals/cmmm/2017/5924270.pdf","host_type":"publisher"},{"url":"http://downloads.hindawi.com/journals/cmmm/2017/5924270.xml","host_type":"publisher"},{"url":"https://doi.org/10.1155/2017/5924270","host_type":"journal"},{"url":"https://pubmed.ncbi.nlm.nih.gov/28638440","host_type":"repository"},{"url":"https://doaj.org/article/f8bfd2ad3d6b4b53bad870f7d0c9825b","host_type":"repository"},{"url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5468780","host_type":"repository"},{"url":"https://europepmc.org/articles/PMC5468780","host_type":"Europe_PMC"},{"url":"https://europepmc.org/articles/PMC5468780?pdf=render","host_type":"Europe_PMC"}],"fields_of_study":["Biochemical and Structural Characterization","Viral Infectious Diseases and Gene Expression in Insects"],"mesh_terms":["Computer Simulation","Extracellular Matrix","Models, Theoretical","Nonlinear Dynamics"],"keywords":["Ode","Degradation (telecommunications)","Nonlinear system","Computer science","Mathematics","Biological system","Applied mathematics","Biology","Computational biology","Physics","Telecommunications"],"sdg_mappings":[{"sdg_number":0,"sdg_label":"Life in Land"}],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-06T00:46:24.389602Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}