Optimal Control Model of Tumor Treatment with Oncolytic Virus and MEK Inhibitor

Tumors are a serious threat to human health. The oncolytic virus is a kind of tumor killer virus which can infect and lyse cancer cells and spread through the tumor, while leaving normal cells largely unharmed. Mathematical models can help us to understand the tumor-virus dynamics and find better tr...

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Bibliographic Details
Main Authors: Yongmei Su, Chen Jia, Ying Chen
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:BioMed Research International
Online Access:http://dx.doi.org/10.1155/2016/5621313
Description
Summary:Tumors are a serious threat to human health. The oncolytic virus is a kind of tumor killer virus which can infect and lyse cancer cells and spread through the tumor, while leaving normal cells largely unharmed. Mathematical models can help us to understand the tumor-virus dynamics and find better treatment strategies. This paper gives a new mathematical model of tumor therapy with oncolytic virus and MEK inhibitor. Stable analysis was given. Because mitogen-activated protein kinase (MEK) can not only lead to greater oncolytic virus infection into cancer cells, but also limit the replication of the virus, in order to provide the best dosage of MEK inhibitors and balance the positive and negative effect of the inhibitors, we put forward an optimal control problem of the inhibitor. The optimal strategies are given by theory and simulation.
ISSN:2314-6133
2314-6141