title: Optimal Control Model of Tumor Treatment with Oncolytic Virus and MEK Inhibitor.
abstract: 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.
authors.affiliation: School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, China.
authors.forename: Yongmei
authors.identifier: 0000-0003-4488-5990
authors.initials: Y
authors.lastname: Su
authors.affiliation: School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, China.
authors.forename: Chen
authors.initials: C
authors.lastname: Jia
authors.affiliation: School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, China.
authors.forename: Ying
authors.initials: Y
authors.lastname: Chen
mesh_terms: D006801:Humans; D020928:Mitogen-Activated Protein Kinases / Q000037:antagonists & inhibitors; D008962:Models, Theoretical; D009369:Neoplasms / Q000235:genetics / Q000628:therapy* / Q000821:virology; D050130:Oncolytic Virotherapy; D050504:Oncolytic Viruses / Q000235:genetics*; D047428:Protein Kinase Inhibitors / Q000627:therapeutic use; D014779:Virus Replication / Q000187:drug effects
chemical_list: D047428:Protein Kinase Inhibitors; D020928:Mitogen-Activated Protein Kinases