{"id":"W4229998024","doi":"10.3934/cpaa.2009.8.509","title":"Existence and longtime behavior of a biofilm model","year":2008,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":44,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Degeneracy (biology); Lipschitz continuity; Degenerate energy levels; Semigroup; Attractor; Dissipative system; Diffusion; Limit (mathematics); Reaction–diffusion system; Mathematics; Mathematical analysis; Nonlinear system; Boundary (topology); Physics; Thermodynamics; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001387643,0.0001323333,0.0003007022,0.0002941033,0.0001791253,0.00002001134,0.001585341,0.00005688849,0.000002771774],"category_scores_gemma":[0.00003880845,0.0001283172,0.00009937905,0.001138501,0.0001831709,0.0001067457,0.0005181406,0.0001732563,0.00001075374],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002586345,"about_ca_system_score_gemma":0.00002171546,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002962214,"about_ca_topic_score_gemma":0.000004939156,"domain_scores_codex":[0.9990433,0.0000179713,0.0003203488,0.000264904,0.0002050638,0.0001483999],"domain_scores_gemma":[0.9964511,0.000184542,0.0001182783,0.003084581,0.00008343054,0.00007807882],"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":[0.00000284065,0.0003742111,0.0001465894,0.00001978112,0.0001873222,8.120938e-7,0.001144205,0.2404427,0.002890429,0.7492107,0.00001467138,0.005565715],"study_design_scores_gemma":[0.000085171,0.000008040368,0.0001912215,0.000008879268,0.0001583984,0.000003557087,0.00001275419,0.9862878,0.0003040096,0.0127587,0.00003648254,0.0001449446],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02870295,0.0001741786,0.9685764,0.0001548759,0.000004464571,0.0001211298,0.000005209166,0.0001201903,0.002140584],"genre_scores_gemma":[0.5275939,0.00009885514,0.472169,0.00002366417,0.00000152934,0.00005606761,0.000005675143,0.000005436993,0.00004593472],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7458451,"threshold_uncertainty_score":0.5232623,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06053930493533422,"score_gpt":0.2926236491837476,"score_spread":0.2320843442484133,"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."}}