Closed-loop nonlinear adaptive control of anti-angiogenic tumor therapy

A nonlinear adaptive backstepping controller for the anti-angiogenic tumor growth control problem is presented. The proposed control algorithm directly aims to drive the tumor volume along a desired trajectory as part of a treatment regimen. Toward this aim, we first present an exact-model knowledge controller that ensures the exponential tracking of a time-varying tumor volume profile, and then, an adaptive controller is shown that provides asymptotic tracking despite model uncertainties. A Lyapunov-based analysis approach is used to determine stability and performance results. Numerical simulation results are presented to demonstrate the performance of the proposed approach. Finally, the requirements of a real-time implementation of an in-vitro model of the overall system are discussed.