{"id":"W2132940041","doi":"10.48550/arxiv.1112.4566","title":"Existence of Smooth Solutions to Coupled Chemotaxis-Fluid Equations","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematical Biology Tumor Growth","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Sensitivity (control systems); Chemotaxis; Compressibility; Mathematics; Mathematical analysis; Navier–Stokes equations; Coupling (piping); Applied mathematics; Physics; Mechanics; Materials science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000685608,0.0007990352,0.0008056593,0.0008446247,0.0007178451,0.001194535,0.0006244864,0.001300916,0.001212714],"category_scores_gemma":[0.00303772,0.0004711627,0.0006044996,0.0003407006,0.00148875,0.0007755093,0.00233136,0.0007221943,0.000132474],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006470103,"about_ca_system_score_gemma":0.0006205844,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001440337,"about_ca_topic_score_gemma":0.0007304535,"domain_scores_codex":[0.9997508,0.00007618457,0.00001749708,0.00004649835,0.00005998077,0.00004899794],"domain_scores_gemma":[0.9994459,0.0001700223,0.0001368033,0.00003759828,0.00009649699,0.0001132388],"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":[0.0004712565,0.0001555385,0.01039986,0.000369798,0.000224552,0.00236666,0.001749234,0.3897904,0.1554846,0.4248335,0.001436771,0.0127178],"study_design_scores_gemma":[0.0000794916,0.0001956772,0.001928365,0.00002882121,0.00003644309,0.0003025188,0.0003571314,0.8787196,0.008799842,0.1085235,0.0009703418,0.00005818292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.904577,0.0002778968,0.08901168,0.0005913882,0.00004115618,0.00007570978,0.00007788396,0.0001285663,0.005218782],"genre_scores_gemma":[0.9847363,0.000152946,0.01174593,0.00008209844,0.00002207716,0.00005767523,0.00007270405,0.00001933177,0.003110948],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001440337,"threshold_uncertainty_score":0.004694402,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2482349054313171,"score_gpt":0.2423884337967464,"score_spread":0.005846471634570694,"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."}}