The Journal of Experimental Life Sciences (JELS)
Vol. 8 No. 2 (2018)

Optimal Control of Tumor Growth Model with Dendritic Cells as Immunotherapy

Firmansyah Reskal Motulo (Brawijaya University)
Trisilowati Trisilowati (Brawijaya University)
Abdul Rouf (Brawijaya University)



Article Info

Publish Date
26 Jun 2018

Abstract

In this paper, optimal control of tumor growth model with dendritic cells as immunotherapy is provided. The model equation can be expressed into a nonlinear differential equation system consisting of four compartments namely, tumor cells, CTL cells, helper T cells, and dendritic cells. Dendritic cells as immunotherapy are injected to the body at time t. The aim of this optimal control is to minimize the tumor cells density as well as the cost of dendritic cells to be administered to the body.Optimal control problem is carried out based on Pontryagin's maximum principle and numerical simulation is solved by using Forward-Backward Sweep methods. Simulation results show that control strategy shrinks tumor cells density which is shown by tumor cells density graph that monotonically decreases after applying dendritic cells as immunotherapy.Keywords: immunotherapy, optimal control, Tumor cell.

Copyrights © 2018






Journal Info

Abbrev

jels

Publisher

Subject

Biochemistry, Genetics & Molecular Biology Immunology & microbiology Medicine & Pharmacology Neuroscience

Description

The Journal of Experimental Life Science (JELS) is a scientific journal published by Postgraduate School, University of Brawijaya as distribution media of Indonesian researcher’s results in life science to the wider community. JELS is published in every four months. JELS published scientific ...