A mathematical model for the dynamics of cancer hepatocytes under therapeutic actions

► A model for the dynamics of cancer hepatocytes under therapeutic actions is proposed. ► The model consists of a set of integro-differential equations. ► Asymptotic analysis and simulations are developed with an exploratory aim. ► The role of mutation and proliferation phenomena in cancer progression is studied. ► A comparison among the effects of cytotoxic drugs and targeted agents is developed.