A collocation method for a nonlocal tumor growth model

This paper presents a model for tumor growth using a nonlocal velocity. We establish some results on the existence and uniqueness of solutions for a nonlocal tumor growth model. Many experiments show that the tumor spheroid can be invariant under rotation and can maintain the shape of a spheroid during the growth process in some particular cases. Here, we assume that the multiple components of the system are invariant under rotation. Then, we use the collocation method to solve the nonlocal system. To illustrate the efficiency of the proposed method, we performed numerical tests that simulate a tumor growth scenario.