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Neuroscience operators

6 operators in the neuroscience category of the live registry. Each is a named formula you can compose inside a state contract or call directly through POST /api/zeq/compute. KO42 is always on; add up to three more per call (total ≤ 4), per the 7-step protocol.

OperatorDescriptionEquation
BRAIN_RHYTHMSPower spectral density of EEG signals obtained via the squared magnitude of the fast Fourier transform, revealing brain oscillation frequencies.P(f) = |FFT(EEG)|^2
EEG_ANALYSISEEG signal decomposition into a sum of sinusoidal components each with distinct amplitude, frequency, and phase representing neural oscillations.V(t) = \sum_i A_i \sin(2\pi f_i t + \phi_i)
NEURAL_DYNAMICSHodgkin-Huxley model describing action potential generation through voltage-gated sodium and potassium ion channel conductances.C_m \frac{dV}{dt} = I - g_{Na}m^3h(V-E_{Na}) - g_K n^4(V-E_K) - g_L(V-E_L)
NEURAL_NETWORKArtificial neuron computing a weighted sum of inputs plus bias passed through a nonlinear activation function to produce an output.y = \sigma(\sum_i w_i x_i + b)
NEURON_FIRINGNeuronal firing rate as a function of input current, accounting for the refractory period and the neuron's input-output transfer function.r = \frac{1}{\tau_{ref} + \frac{1}{\phi(I)}}
SYNAPTIC_WEIGHTHebbian learning rule strengthening synaptic connections proportionally to the correlated activity of pre- and post-synaptic neurons.\Delta w_{ij} = \eta x_i x_j

Compute with one of these​

curl -sS -X POST https://zeqsdk.com/api/zeq/compute \
  -H "Authorization: Bearer $ZEQ_KEY" \
  -H "Content-Type: application/json" \
  -d '{"operators":["BRAIN_RHYTHMS"],"inputs":{}}'

The response carries the bare physics value, its unit and uncertainty, the generated master equation, and a signed envelope you can verify on any node.

See also​