Optimal control of cancer chemotherapy model using the coupled Adomian/Alienor methods

This paper deals with the use of the combined Adomian/Alienor methods for solving the problem of optimal cancer chemotherapy model.

The combination of the Adomian decomposition method and the Alienor reducing transformation method allows us to solve the control problem as if it were a classical one dimensional minimization problem. The mathematical model used here describes specific model based on cell‐cycle kinetics.

It was found that the goal is to maintain the number of the cancerous cells around a desired value while keeping the toxicity to the normal tissues acceptable.

Simulation results are given for illustration.

New combined approach to optimal control of cancer chemotherapy using Adomian/Alienor Methods.