This paper presents an extensive tutorial and a complete review on the state-dependent
Riccati equation (SDRE). The review covers contributions from the beginning to (near the …

Background and objective Advancement in the treatment of cancer, as a leading cause of
death worldwide, has promoted several research activities in various related fields. The …

In this paper, a mathematical model of cancer treatment, in the form of a system of ordinary
differential equations, by chemotherapy and radiotherapy where there is metastasis from a …

Highlights•Using a different mathematical model and adding immunotherapy intervention to
alter dynamics of the model.•Determination of a near-optimal personalized drug delivery …

In this work, a nominal-plus-neighboring-optimal control approach is suggested for the
treatment of cancer using the adoptive cellular immunotherapy. The main goal of this …

A mixed chemotherapy–immunotherapy treatment protocol is developed for cancer
treatment. Chemotherapy pushes the trajectory of the system towards the desired …

We present in this paper a new mathematical model for the scheduling of angiogenic
inhibitors in combination with a chemotherapeutic agent for a tumor. Our model takes into …

The main target of this paper is to propose an optimal method for eradicating cancer, such
that it cannot be relapsed. The major issue is that the tumor-free equilibrium point at the end …

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 …

The Aids-related non-Hodgkin's lymphomas are the second most frequent cancer. A
proposed treatment strategy should be implemented as short as possible. A long time …