{"artifact_id":"L1-399","layer":"L1","title":"Cardiac Electrophysiology (Monodomain)","domain":"Computational Biology","sub_domain":"Cardiac modeling","physics_fingerprint":{"L_DAG":4.5,"title":"Cardiac Electrophysiology (Monodomain)","domain":"Computational Biology","carrier":"N/A","primitives":["D.space","S.eikonal.fast_marching","O.ecg.inverse_body_surface"],"sub_domain":"Cardiac modeling","noise_model":"observation_gaussian","problem_class":"nonlinear_inverse","solution_space":"3D_transmembrane_potential","difficulty_delta":5,"integration_axis":"3d_cardiac_volume","sensing_mechanism":"ecg_body_surface_potential"},"observable_profile":{"metric":"activation_time_error_ms","regime":"Existence of the recovered 3D_transmembrane_potential is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 2000); torso_conductivity_uncertainty dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Observation gaussian sets the irreducible data-fidelity floor.","secondary":"body_surface_potential_RMSE_mV"},"size_tiers":{"center_spec":{"omega":{"N_mesh_nodes":10000,"noise_SNR_dB":30,"N_electrodes_BSP":128,"heart_torso_distance_mm":50},"input_format":"measurement_only","problem_class":"nonlinear_inverse","forward_operator":"ecg_body_surface_potential","epsilon_fn_center":"5 activation_time_error_ms"},"omega_bounds":{"N_mesh_nodes":[1000,100000],"noise_SNR_dB":[10,60],"N_electrodes_BSP":[32,512],"heart_torso_distance_mm":[20,100]},"epsilon_bounds":{"activation_time_error_ms":[1,30]},"allowed_problem_classes":["nonlinear_inverse"],"allowed_omega_dimensions":["N_electrodes_BSP","N_mesh_nodes","noise_SNR_dB","heart_torso_distance_mm"],"allowed_forward_operators":["ecg_body_surface_potential"]},"hardness_fn":{"type":"epsilon_fn","delta":5,"kappa":100000.0,"metric":"activation_time_error_ms"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x781340fe947f4a5e7eb4920a752ea2c505bdbcedb5928b5df5e8afd99b236717","chain_tx_hash":"0x8d057901026adf6d57bcb86b8bc050e92aeaed8b462e04aef8991d80536894e2","chain_block":41555217}