Chemotherapy Log-Kill: Tumor Shrinkage Simulator

This simulator couples a real one-compartment pharmacokinetic model of cyclic chemotherapy dosing to a Gompertzian tumor-growth model opposed by Skipper's log-kill hypothesis, the same framework oncologists use to reason about why chemotherapy is scheduled in pulsed cycles rather than a single continuous dose. Each bolus raises the plasma drug concentration, which decays exponentially by first-order elimination between cycles; the instantaneous concentration drives a proportional log-kill of tumor cells (Norton–Simon), while the tumor simultaneously regrows toward its carrying capacity at a rate that slows as it approaches that ceiling, mirroring the diffusion-limited hypoxic core of a real solid tumor. Adjust the dose, cycle interval, drug half-life and kill potency and watch the 3D tumor cluster — proliferating rim and hypoxic core rendered distinctly — grow or shrink in real time alongside a live plasma-concentration trace and tumor-volume readouts.