We address this research to a mathematical model for low-grade glioma treated with chemotherapy. We analyze the dynamics of the model and study the stability of the solutions. Besides, we characterize the optimal controls related to drug therapy,  using different strategies, including a quadratic control and a linear control. We establish the existence of the optimal control, and solve for the control in both the quadratic and linear case. Finally, from numerical simulations, we discuss the optimal strategies from the clinical point of view

optimal control; low grade glioma; dynamical systems