Numerical Simulation for a Quasispecies Model for Cancer

Abstract

Abstract In this thesis we presented a quasispecies mathematical model for two com- peting cell populations. We toke into account the dynamics of heterogeneous tumor cell populations competing with healthy cells. We analyze a mathemat- ical model of unstable tumor progression using the quasispecies framework to define a minimal model incorporating the dynamics of competition between healthy cells and a heterogeneous population of cancer cell phenotypes involv- ing changes in replication-related genes.