{"id":"W1997581586","doi":"10.1016/j.amc.2011.05.102","title":"Analytical substrate flux approximation for the Monod boundary value problem","year":2011,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Guelph","funders":"","keywords":"Boundary value problem; Mathematics; Homotopy analysis method; Nonlinear system; Substrate (aquarium); Applied mathematics; Homotopy perturbation method; Flux (metallurgy); Homotopy; Mathematical analysis; Value (mathematics); Point (geometry); Mathematical optimization; Physics; Chemistry; 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":[0.0003958966,0.0001559708,0.0001847311,0.00007343701,0.0004205887,0.00009646254,0.0001066385,0.00007581698,0.00003038191],"category_scores_gemma":[0.00007082833,0.000119009,0.00006738441,0.0001532323,0.0001009244,0.0001027424,0.00003520094,0.000105964,0.00001939192],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003764207,"about_ca_system_score_gemma":0.00004471543,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008620365,"about_ca_topic_score_gemma":0.000006902369,"domain_scores_codex":[0.9989799,0.00001334716,0.0004133156,0.0002006263,0.0002148465,0.0001779731],"domain_scores_gemma":[0.9985834,0.0008523331,0.0002137248,0.0001762845,0.0001245277,0.00004973184],"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":[0.00001471587,0.0002235264,0.000003105903,0.0001374907,0.0000666191,1.076101e-7,0.001402405,0.0002292032,0.0001438156,0.9911153,0.0004727806,0.006190965],"study_design_scores_gemma":[0.0002407037,0.00002512343,0.0002526701,0.00001293302,0.0001295472,0.000004228341,0.0003765633,0.366305,0.0001836526,0.6323113,0.00006454172,0.00009371519],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0342733,0.00002406859,0.9553245,0.0001711322,0.00006059826,0.001145956,0.00001065761,0.00009537359,0.008894401],"genre_scores_gemma":[0.548912,0.000004848273,0.4505129,0.00003118404,0.00004733999,0.0003283707,0.00004239857,0.00002521323,0.00009574522],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5146387,"threshold_uncertainty_score":0.4853045,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09855350633304492,"score_gpt":0.3113913647897628,"score_spread":0.2128378584567179,"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."}}