{"doi":"10.1016/j.ifacol.2025.08.069","title":"Parameter Identification for PDEs via Qualitative Constraints","abstract":"Parameter estimation in differential equation models is a cornerstone in engineering, biology, and beyond. However, limited measurement availability often results in identifiability challenges, making it difficult to recover model parameters accurately. To address this, the formulation of qualitative data can offer a valuable source of supplementary information to constrain the parameter space. In this paper, we formalize parameter estimation for partial differential equations (PDEs) that integrate qualitative constraints from external studies, databases, or prior knowledge. Our approach addresses identifiability issues by effectively narrowing the parameter search space, particularly in scenarios with sparse or incomplete data.","journal":"IFAC-PapersOnLine","year":2025,"id":573682,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":0.9449,"is_data_producer":false,"deposit_databanks":null,"is_oa":true,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"2025-01-01","fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1481219,"name":"Alan Humphrey","orcid":null,"position":1,"is_corresponding":false},{"id":1437013,"name":"Alejandro Anderson","orcid":"0000-0001-6626-500X","position":2,"is_corresponding":false},{"id":56060,"name":"Esteban A. Hernandez‐Vargas","orcid":"0000-0002-3645-435X","position":3,"is_corresponding":false},{"id":1140027,"name":"Rodolfo Blanco‐Rodríguez","orcid":"0000-0003-2972-2958","position":0,"is_corresponding":true}],"reference_count":12,"raw_metadata":null,"created_at":"2026-07-19T02:57:36.753600Z","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":[]}