{"id":"W3157233151","doi":"10.3934/math.2021398","title":"On the quasi-steady-state approximation in an open Michaelis--Menten reaction mechanism","year":2021,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"National Institute of Diabetes and Digestive and Kidney Diseases; Agence Nationale de la Recherche","keywords":"Phase portrait; Singular perturbation; Invariant (physics); Mathematics; Perturbation (astronomy); Mathematical analysis; Applied mathematics; Inflow; Physics; Mechanics; Mathematical physics; Nonlinear system; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001110751,0.0005352614,0.0006347627,0.0008439063,0.0007703306,0.001332927,0.0008871243,0.0009401705,0.002940961],"category_scores_gemma":[0.003357395,0.0002602901,0.0008627229,0.0002687515,0.002212361,0.002324246,0.001304719,0.0011937,0.0004695072],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009970844,"about_ca_system_score_gemma":0.0004703135,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009996883,"about_ca_topic_score_gemma":0.0005083421,"domain_scores_codex":[0.9997289,0.00008529053,0.00001450415,0.00005493086,0.00006987262,0.00004649724],"domain_scores_gemma":[0.9988346,0.0005754388,0.0002418698,0.0001547755,0.00009716478,0.00009622017],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005447269,0.0000253047,0.0005570832,0.00008697342,0.00001834918,0.0001882211,0.0002667918,0.1047179,0.01005368,0.880303,0.0004357842,0.003292457],"study_design_scores_gemma":[0.0000115096,0.00004754454,0.0004046603,0.00001898848,0.00001008057,0.00006746702,0.00006112699,0.7507759,0.001766462,0.2459073,0.0009103328,0.00001869841],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.384597,0.001068225,0.5824205,0.001452879,0.000112286,0.0001213831,0.0002186923,0.0003545737,0.0296544],"genre_scores_gemma":[0.9720605,0.0006009959,0.0224185,0.00009782092,0.00004703958,0.0001075776,0.00009706384,0.0000587553,0.0045117],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002940961,"threshold_uncertainty_score":0.009838462,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06618425252384239,"score_gpt":0.2027688664376383,"score_spread":0.1365846139137959,"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."}}