Mathematical models for tumours with cancer stem cells

Mathematical models of growth of tumours with cancer sten cells (CSC), i.e. immortal multipotent cells that can generate either CSC or ordinary cancer cells (CC). The models presented consist in agent-based models (cellular automata), mean field approximations (ordinary differential equations), integro-differential models, and reaction-diffusion models. Numerical simulations are displayed and teh tumour paradox is discussed tha consists in the fact that an increased mortality of CC may produce an accelerated growth of the tumour,