{"id":"W1570844200","doi":"10.1111/j.1467-9590.2012.00550.x","title":"Spike‐Type Solutions to One Dimensional Gierer–Meinhardt Model with Lévy Flights","year":2012,"lang":"en","type":"article","venue":"Studies in Applied Mathematics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Eigenvalues and eigenvectors; Spike (software development); Homoclinic orbit; Mathematics; Type (biology); Differential equation; Stochastic differential equation; Diffusion; Mathematical analysis; Lévy flight; Physics; Mathematical physics; Bifurcation; Random walk; Thermodynamics; Nonlinear system; Statistics; Quantum mechanics","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":[0.0004460561,0.0006858936,0.0008131996,0.0006608394,0.0006873826,0.001170033,0.0008948117,0.001745271,0.001415319],"category_scores_gemma":[0.00134893,0.0003059209,0.0008999017,0.0005207577,0.001435557,0.001185236,0.001142428,0.0008734285,0.000164988],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008127572,"about_ca_system_score_gemma":0.0006792552,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003004817,"about_ca_topic_score_gemma":0.001226706,"domain_scores_codex":[0.9998074,0.00004909015,0.00001016195,0.000035111,0.00005191415,0.00004631267],"domain_scores_gemma":[0.9996314,0.0000868995,0.000112117,0.00002888423,0.0000538912,0.00008674037],"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":[0.000127096,0.00009255236,0.002469426,0.0001017643,0.0001044777,0.00119452,0.0004761335,0.4154278,0.01969606,0.5535818,0.001818791,0.004909656],"study_design_scores_gemma":[0.00004561295,0.00004312201,0.0007321374,0.000009089963,0.00001572381,0.0001980677,0.00008579428,0.887405,0.0009689688,0.1099578,0.0004983022,0.00004029181],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8152027,0.0008511585,0.1590832,0.001537534,0.0001724073,0.00004840059,0.0001547286,0.0001673253,0.02278264],"genre_scores_gemma":[0.9890234,0.0002680063,0.003966614,0.00005979093,0.0000345827,0.00003074394,0.00005375924,0.00001529332,0.00654772],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003004817,"threshold_uncertainty_score":0.00597465,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2670624863817591,"score_gpt":0.3853074694318826,"score_spread":0.1182449830501235,"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."}}