{"id":"W2074707866","doi":"10.1016/j.jmaa.2007.06.078","title":"Properties of the Michaelis–Menten mechanism in phase space","year":2007,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":21,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Uniqueness; Mathematical analysis; Michaelis–Menten kinetics; Manifold (fluid mechanics); Asymptotic expansion; Space (punctuation); Infinity; Applied mathematics; Physics; Enzyme","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":[0.0006451141,0.00004256538,0.0001595351,0.0001497299,0.00003440712,0.00002513206,0.0002540024,0.00001916619,0.00000365901],"category_scores_gemma":[0.00001341672,0.00002340867,0.00009836289,0.0005521133,0.00002492277,0.00009971658,0.0000553665,0.00006998992,0.000001029851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001026161,"about_ca_system_score_gemma":0.00001177807,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000419565,"about_ca_topic_score_gemma":0.00001759821,"domain_scores_codex":[0.9992821,0.0000156953,0.0004142751,0.00005196308,0.0001716047,0.00006431906],"domain_scores_gemma":[0.9994031,0.00003527579,0.0002812805,0.0001583722,0.00008738734,0.00003458906],"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":[0.00001230307,0.001053631,0.001309847,0.0001145929,0.0003056718,0.000001700187,0.001811569,0.0001826308,0.03640692,0.9405956,0.00001261951,0.0181929],"study_design_scores_gemma":[0.001205819,0.0001318837,0.004679563,0.0002052407,0.0005867738,0.00007562429,0.0006594149,0.635672,0.05408448,0.3018891,0.0005861841,0.0002238833],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2599596,0.00003782342,0.7388869,0.0009712974,0.000005175526,0.00006084372,8.661713e-7,0.000001412103,0.00007607489],"genre_scores_gemma":[0.9829187,0.00001657367,0.0169864,0.00003590643,0.00001547638,0.000002320618,2.186233e-7,0.000001417121,0.00002301374],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.722959,"threshold_uncertainty_score":0.09545781,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0145471655094514,"score_gpt":0.2625235130915625,"score_spread":0.2479763475821111,"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."}}