Feedback Control of Immune Response of Renal Transplant Recipients with Inequality Constraints

초록

We consider the increasingly important and highly complex immunological control problem: control of the dynamics of immunosuppression for organ transplant recipients. The goal in this problem is to maintain the delicate balance between over-suppression (where opportunistic latent viruses threaten the patient) and under-suppression (where rejection of the transplanted organ is probable). First, a mathematical model is formulated to describe the immune response to both viral infection and introduction of a donor kidney in a renal transplant recipient. In addition, we propose a feedback methodology based on Model Predictive Control (MPC) for designing optimal treatment regimes. We also address the problem of implementing MPC methodology and the Extended Kalman Filter(EKF) with inaccurate or incomplete observation data and long measurement time.