{"id":"W1996601564","doi":"10.1007/s00285-012-0515-z","title":"Solving inverse problems for biological models using the collage method for differential equations","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematical Biology","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo; University of Guelph","funders":"","keywords":"Inverse problem; Metric (unit); Amoeba (genus); Mathematics; Inverse; Differential equation; Applied mathematics; Metric space; Population; Space (punctuation); Computer science; Mathematical optimization; Mathematical analysis; Biology; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001551655,0.0001528939,0.0004180522,0.00008062978,0.0001412122,0.00003940793,0.0006158269,0.0001338279,0.000006818015],"category_scores_gemma":[0.001869776,0.00008450507,0.0002305923,0.0001151939,0.00007134417,0.0003291265,0.0001574066,0.000168026,0.000001259043],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005541679,"about_ca_system_score_gemma":0.00003705735,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":1.93386e-7,"about_ca_topic_score_gemma":9.871244e-8,"domain_scores_codex":[0.9985359,0.00009712348,0.0006780824,0.0001379153,0.0001193137,0.0004316316],"domain_scores_gemma":[0.9946864,0.004408303,0.0003348617,0.0002348606,0.0002084976,0.0001271207],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001088239,0.0001373416,0.000002060176,0.00009210164,0.0000521865,1.876287e-7,0.0005924632,0.04281636,0.02274602,0.9327346,0.00003143523,0.0007843442],"study_design_scores_gemma":[0.0001991439,0.00008974907,2.866046e-7,0.00003052909,0.00002368567,0.00003794656,0.00002676511,0.5808609,0.0004294596,0.4181892,0.00004688405,0.00006547372],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002482187,0.0001194939,0.9962099,0.0002979936,0.00034885,0.0004785648,0.000004612243,0.00003056976,0.00002783936],"genre_scores_gemma":[0.2039687,0.000004079037,0.7956772,0.00006979198,0.0002225349,0.0000389694,5.696978e-7,0.00001089077,0.000007210559],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.5380445,"threshold_uncertainty_score":0.3446017,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1644846641662261,"score_gpt":0.3654838983803518,"score_spread":0.2009992342141257,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}