Biodynamic modeling and simulation of multistage carcinogenesis

We present a mathematical model of multistage carcinogenesis. The population genetic model is developed based on the reaction diffusion, logistic behavior, and Hollings Type II interactions between normal, benign, and premalignant mutant cells. Computer simulations are used to observe the behavior, stability, and traveling wave solution of the premalignant stage mutation as well as its survival under natural selection pressure. As a simple application of the model, the interaction between normal and tumor cells with one or two stages of mutation is analyzed.