Tumor Growth Model Explorer

Compare exponential, logistic and Gompertz growth curves and their very different implications for doubling time as a tumor approaches carrying capacity.

tumor growth
differential equations
doubling time
Gompertz

Tumor growth models

ExponentialLogisticGompertz

Instantaneous doubling time vs. current volume

ExponentialLogisticGompertz

Exponential doubling time is a constant; the others are not

With r = 0.010/day, the exponential doubling time is 69 days regardless of current volume. Logistic and Gompertz growth both decelerate as V approaches K, so their doubling time grows without bound — the same instantaneous growth rate implies very different long-run trajectories depending on which mechanism actually governs the tumor.

Preparing the simulation…