2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167242We propose a one mutation model for cancer with a mutation rate that increases with time. Under rather general hypotheses the number of mutations is necessarily a (non homogeneous) Poisson process with the prescribed mutation rate. We show that the cumulative probability of cancer up to time $t$ is, up to a multiplicative constant, an antiderivative of the mutation rate.ProbabilityQuantitative Methods60K35,92D30text