{"id":"W3210782469","doi":"10.1007/s10884-021-10097-z","title":"Carryover of a Saddle-Node Bifurcation After Transforming a Parameter into a Variable","year":2021,"lang":"en","type":"article","venue":"Journal of Dynamics and Differential Equations","topic":"Gene Regulatory Network Analysis","field":"Biochemistry, Genetics and Molecular Biology","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Athabasca University; University of Alberta","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Athabasca University","keywords":"Saddle-node bifurcation; Bifurcation diagram; Bifurcation; Mathematics; Variable (mathematics); Ordinary differential equation; Singularity theory; Node (physics); Bifurcation theory; Mathematical analysis; Singularity; Applied mathematics; Control theory (sociology); Differential equation; Nonlinear system; Computer science; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.00009208845,0.00008337895,0.0001787743,0.00007170687,0.00004175839,0.00002477423,0.00005531709,0.00008454196,0.00003726528],"category_scores_gemma":[0.00006998031,0.00007541615,0.0001490155,0.00012561,0.00003363367,0.00000851019,0.00002977822,0.00006495754,1.823144e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001872672,"about_ca_system_score_gemma":0.0001257948,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001241949,"about_ca_topic_score_gemma":0.0001642293,"domain_scores_codex":[0.9992766,0.0000467378,0.0003403639,0.0001092226,0.0001343929,0.0000926937],"domain_scores_gemma":[0.9993322,0.00002497421,0.0001832616,0.0001331259,0.0002659634,0.0000605066],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0003464321,0.0005385372,0.01733616,0.0001739884,0.00146567,0.00001208832,0.0007191083,0.01037912,0.9444879,0.005184491,0.00007715431,0.0192794],"study_design_scores_gemma":[0.006016132,0.001158781,0.04525299,0.0004322841,0.003783426,0.0002668598,0.00122079,0.8113462,0.1134865,0.01384315,0.002030935,0.001161951],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6179875,0.0007461729,0.3810774,0.00006446643,0.00006002114,0.00002468958,0.000009578349,6.272658e-7,0.00002948058],"genre_scores_gemma":[0.9950938,0.0001699917,0.004393702,0.00002985095,0.00009663237,0.000003174625,0.00005834654,0.000009165768,0.0001454015],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8310013,"threshold_uncertainty_score":0.3075381,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005506410777742386,"score_gpt":0.2236839728931201,"score_spread":0.2181775621153777,"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."}}