info:eu-repo/semantics/article
Optimal control of a delayed breast cancer stem cells nonlinear model
Fecha
2014-12Registro en:
Barrea, Andres Alberto; Barrea, Andres Alberto; Optimal control of a delayed breast cancer stem cells nonlinear model; John Wiley & Sons Ltd; Optimal Control Applications & Methods; 37; 2; 12-2014; 248-258
0143-2087
CONICET Digital
CONICET
Autor
Barrea, Andres Alberto
Barrea, Andres Alberto
Resumen
In this article, we consider a nonlinear model, which is governed by an ordinary differential equations systemwith time delays in state and control. The model is used in order to describe the growth of breast cancer cellsunder therapy. We seek optimal therapies to minimize the number of cancer cells as well as the total quantityof drug used in the treatment. In this way, we formulate an optimal control problem. We prove the existenceof an optimal therapy and use Pontryagin’s maximum principle in order to find optimality conditions, whichcharacterize such optimal therapy. At last, both numerical results and conclusion are presented.