{"artifact_id":"L1-398","layer":"L1","title":"Cable Equation (Dendrite Propagation)","domain":"Computational Biology","sub_domain":"Computational neuroscience","physics_fingerprint":{"L_DAG":3.0,"title":"Cable Equation (Dendrite Propagation)","domain":"Computational Biology","carrier":"N/A","primitives":["D.space","S.green_function.cable","O.tikhonov.cable_inversion"],"sub_domain":"Computational neuroscience","noise_model":"gaussian","problem_class":"linear_inverse","solution_space":"dendritic_conductance_distribution","difficulty_delta":3,"integration_axis":"spatial_dendritic","sensing_mechanism":"intracellular_voltage_recording"},"observable_profile":{"metric":"conductance_distribution_RMSE","regime":"Existence of the recovered dendritic_conductance_distribution 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 ~= 80); dendritic_branching_approximation dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Gaussian sets the irreducible data-fidelity floor.","secondary":"voltage_reconstruction_RMSE_mV"},"size_tiers":{"center_spec":{"omega":{"noise_sigma_mV":0.1,"cable_length_um":500,"N_recording_sites":3,"lambda_space_constant_um":200},"input_format":"measurement_only","problem_class":"linear_inverse","forward_operator":"intracellular_voltage_recording","epsilon_fn_center":"0.15 conductance_distribution_RMSE"},"omega_bounds":{"noise_sigma_mV":[0.01,2.0],"cable_length_um":[50,5000],"N_recording_sites":[1,20],"lambda_space_constant_um":[50,1000]},"epsilon_bounds":{"conductance_distribution_RMSE":[0.02,0.5]},"allowed_problem_classes":["linear_inverse"],"allowed_omega_dimensions":["N_recording_sites","cable_length_um","lambda_space_constant_um","noise_sigma_mV"],"allowed_forward_operators":["intracellular_voltage_recording"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":2000,"metric":"conductance_distribution_RMSE"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0xbf5701b997d296c4255b5f3a22c2099911540aae48b30b204735225b387a10d4","chain_tx_hash":"0xc4273774dc450ea251277e9f87bdd83363eec2be99447d5a90379260fd24f78d","chain_block":41555217}