Determination of an optimal control strategy for drug administration in tumor treatment using multi-objective optimization differential evolution.
The mathematical modeling of physical and biologic systems represents an interesting alternative to study the behavior of these phenomena. In this context, the development of mathematical models to simulate the dynamic behavior of tumors is configured as an important theme in the current days. Among the advantages resulting from using these models is their application to optimization and inverse problem approaches. Traditionally, the formulated Optimal Control Problem (OCP) has the objective of minimizing the size of tumor cells by the end of the treatment. In this case an important aspect is not considered, namely, the optimal concentrations of drugs may affect the patients' health significantly. In this sense, the present work has the objective of obtaining an optimal protocol for drug administration to patients with cancer, through the minimization of both the cancerous cells concentration and the prescribed drug concentration. The resolution of this multi-objective problem is obtained through the Multi-objective Optimization Differential Evolution (MODE) algorithm. The Pareto's Curve obtained supplies a set of optimal protocols from which an optimal strategy for drug administration can be chosen, according to a given criterion.
School of Chemical Engineering, FEQUI, Universidade Federal de Uberlândia, UFU, P.O. Box 593, 38400-902, Uberlândia, Brazil. Electronic address: fslobato@ufu.br.
Fran Sérgio
FS
Lobato
School of Medicine, FAMED, Universidade Federal de Uberlândia, UFU, P.O. Box 593, 38400-902, Uberlândia, Brazil. Electronic address: silvervinni@hotmail.com.
Vinicius Silvério
VS
Machado
School of Mechanical Engineering, FEMEC, Universidade Federal de Uberlândia, UFU, P.O. Box 593, 38400-902, Uberlândia, Brazil. Electronic address: vsteffen@ufu.br.
Valder
V
Steffen
D000465:Algorithms; D000970:Antineoplastic Agents / Q000008:administration & dosage* / Q000627:therapeutic use; D049109:Cell Proliferation; D003198:Computer Simulation; D006801:Humans; D009369:Neoplasms / Q000188:drug therapy* / Q000473:pathology
D000970:Antineoplastic Agents
Differential evolution algorithm; Mathematical modeling of tumors; Multi-objective optimization; Optimal control problem