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Medical operators

8 operators in the medical 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 solveMED — 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
MED_BMIBody mass index relating body mass to the square of height, used as a screening metric for weight-related health categories.BMI = \frac{mass_{kg}}{height_m^2}
MED_BSAMosteller formula estimating body surface area from height and weight, used for drug dosing and physiological scaling.BSA = \sqrt{\frac{height \times weight}{3600}}
MED_CLEARANCEDrug clearance computed as the product of elimination rate constant and volume of distribution, measuring plasma volume cleared per unit time.Cl = k_e \times V_d
MED_DOSAGERenal dose adjustment scaling the standard drug dose proportionally to measured glomerular filtration rate relative to normal function.D_{adj} = D_{std} \times \frac{GFR}{100}
MED_GFRMDRD formula estimating glomerular filtration rate from serum creatinine, age, sex, and ethnicity for assessing kidney function.GFR = 175 \times Scr^{-1.154} \times age^{-0.203} \times [0.742 \text{ if female}]
MED_HALF_LIFEBiological half-life derived from the elimination rate constant, giving the time for drug concentration to decrease by half.t_{1/2} = \frac{0.693}{k_e}
MED_PHARMAOne-compartment pharmacokinetic model predicting plasma drug concentration over time from dose, volume of distribution, and elimination rate.C(t) = \frac{D}{V_d} \times e^{-k_e \times t}
MED_STEADY_STATEAverage steady-state drug concentration achieved during repeated dosing, determined by dose, bioavailability, dosing interval, and clearance.C_{ss} = \frac{D \times F}{\tau \times Cl}

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":["MED_BMI"],"inputs":{"mass":70,"height":1.75}}'

Returns 22.857 kg/m² — with unit, uncertainty, the generated master equation, and a signed envelope you can verify.

See also​