Governing Equations
Allometric Scaling (Body Weight):
CL_animal = CL_human · (BW_animal / BW_human)^0.75
Dose_HED = Dose_animal · (BW_animal / BW_human)^0.25
NOAEL: No Observed Adverse Effect Level
Highest dose with no statistically significant adverse effects
MTD: Maximum Tolerated Dose
Highest dose that does not cause unacceptable toxicity
Typically defined as ≤ 10% body weight loss or grade 2 toxicity
MRSD (Maximum Recommended Starting Dose):
MRSD = HED / Safety Factor (typically 10)
Safety Margin:
SM = NOAEL / HED
SM ≥ 10 for first-in-human acceptable
Dose-Response (Probit):
P(toxicity) = Φ(a + b·log(dose))
where Φ = cumulative normal distribution