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Biotech operators

8 operators in the biotech category of the live registry. Compose them in a contract or call POST /api/zeq/compute — KO42 is always on, plus up to three more per call.

How it computes: dedicated closed-form solver solveBIO — real equations over CODATA-2018 constants; where an operator needs a series/matrix/field a scalar cannot express, it refuses honestly. See the solvers.

OperatorDescriptionEquation
BINDING_AFFINITYEquilibrium dissociation constant quantifying receptor-ligand binding affinity as the ratio of unbound to bound species concentrations.K_d = \frac{[L][R]}{[LR]}
BIO_MICHAELISMichaelis-Menten equation modeling enzyme kinetics as a hyperbolic relationship between substrate concentration and reaction velocity.v = \frac{V_{max}[S]}{K_m + [S]}
CELL_GROWTHExponential cell growth equation predicting population size over time from initial count and specific growth rate constant.N_t = N_0 \times e^{\mu t}
DNA_MELTINGEstimates DNA duplex melting temperature from nucleotide composition, predicting the temperature at which half the strands are denatured.T_m = 64.9 + 41\frac{G+C-16.4}{A+T+G+C}
ENZYME_ACTIVITYEnzyme activity calculation measuring the rate of product formation per unit time normalized by enzyme concentration.Activity = \frac{\Delta [Product]}{\Delta t \times [E]}
PCR_AMPLIFICATIONPCR amplification formula predicting exponential DNA copy number after n thermocycling rounds assuming perfect doubling efficiency.N = N_0 \times 2^n
PROTEIN_FOLDGibbs free energy equation determining protein folding spontaneity from the balance of enthalpy and entropy at a given temperature.\Delta G = \Delta H - T\Delta S
PROTEIN_MASSCalculates protein molecular weight by summing constituent amino acid masses and subtracting water lost during peptide bond formation.MW = \sum_i n_i \times MW_i - (n-1) \times 18.015

Compute one — a real call​

curl -sS -X POST https://zeqsdk.com/api/zeq/compute \
  -H "Authorization: Bearer $ZEQ_KEY" \
  -H "Content-Type: application/json" \
  -d '{"operators":["BIO_MICHAELIS"],"inputs":{"Vmax":100,"S":50,"Km":10}}'

Returns 83.33 rate — with unit, uncertainty, the generated master equation, and a signed envelope you can verify.

See also​