A stochastic nominal control optimizing the adoptive immunotherapy for cancer using tumor-infiltrating lymphocytes

Abstract

In this work, a stochastic nominal optimal control approach is proposed with a view to treating cancer using the adoptive T-cell immunotherapy based on the administration of tumor-infiltrating lymphocytes. Indeed, the stochastic analysis is relevant and appropriate for studying the possible tumor-immune cellular interactions in order to better understand both dynamics of immune system and cancer evolution process. However, in the presence of an additional initial concentration of tumor cells, the therapeutic enhancement of immune response is considered using an appropriate neighboring treatment as a supplement to the adopted nominal therapy. Moreover, the Pontryagin-type stochastic maximum principle and the Pontryagin’s procedure are used to provide the explicit formulations of optimal controls. Finally, an adapted iterative method is implemented to solve numerically the optimal systems.