{"id":"W4281743452","doi":"10.5539/jmr.v14n3p44","title":"A Hybrid Non-Local Model of Ontogenetic Growth Revealed a Phase Transition and Two Bifurcations","year":2022,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Thermodynamics and Statistical Mechanics","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Trajectory; Invariant (physics); Bifurcation; Ontogeny; Growth rate; Growth model; Dynamics (music); Control theory (sociology); Applied mathematics; Control (management); Mathematical economics; Nonlinear system; Computer science; Geometry; Physics; Biology; Mathematical physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002604361,0.0003284887,0.0004567474,0.0005274719,0.0005153713,0.001034224,0.0005974803,0.0008570604,0.003013296],"category_scores_gemma":[0.0006787236,0.0002353805,0.0006481385,0.0003542034,0.001075271,0.0008967663,0.0008980373,0.000780373,0.0004133531],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008450751,"about_ca_system_score_gemma":0.0005691425,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00333757,"about_ca_topic_score_gemma":0.001794713,"domain_scores_codex":[0.9998971,0.00002944217,0.000004449569,0.00002990622,0.00001944925,0.00001970533],"domain_scores_gemma":[0.9998003,0.00006679518,0.00004754649,0.0000177089,0.00002702357,0.00004068011],"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":[0.0001778712,0.0001053615,0.004026069,0.0001741441,0.00007314384,0.001277053,0.0008918094,0.4680696,0.01894198,0.4943435,0.001881679,0.01003788],"study_design_scores_gemma":[0.00003037347,0.00007670982,0.001285172,0.00001738852,0.00002194945,0.0002197869,0.0001192797,0.9429544,0.000513469,0.05276474,0.00197603,0.0000207611],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5576641,0.001088109,0.3769871,0.001852049,0.0001332198,0.00005976588,0.0003563582,0.0003094634,0.06154982],"genre_scores_gemma":[0.9756162,0.0002299831,0.007926024,0.0000743367,0.0000213141,0.00006936109,0.00005975309,0.00003296225,0.01597008],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00333757,"threshold_uncertainty_score":0.01008046,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0496262413072722,"score_gpt":0.3853213818732829,"score_spread":0.3356951405660107,"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."}}