Analysis of a mathematical model for tumor therapy with a fusogenic oncolytic virus

In the present work, we investigated the role of natural killer (NK) cells in combination therapy with oncolytic virus (OV) and bortezomib, a proteasome inhibitor. NK cells display rapid and potent immunity to metastatic and hematological cancers, and they overcome immunosuppressive effects of tumor microenvironment. We developed a mathematical model to address the question of how the density of NK cells affects the growth of the tumor. We found that the antitumor efficacy increases when the endogenous NKs are depleted and also when exogenous NK cells are injected into the tumor. These predictions were validated by our in vivo and in vitro experiments.

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

BioMed Research International ◽

10.1155/2016/5621313 ◽

2016 ◽

Vol 2016 ◽

pp. 1-8 ◽

Cited By ~ 3

Author(s):

Yongmei Su ◽

Chen Jia ◽

Ying Chen

Keyword(s):

Optimal Control ◽

Cancer Cells ◽

Oncolytic Virus ◽

Tumor Therapy ◽

Treatment Strategies ◽

Optimal Strategies ◽

Mek Inhibitor ◽

Mitogen Activated Protein Kinase ◽

Mitogen Activated Protein ◽

Negative Effect

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.

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Targeting matrix metalloproteinase MMP3 greatly enhances oncolytic virus mediated tumor therapy

Translational Oncology ◽

10.1016/j.tranon.2021.101221 ◽

2021 ◽

Vol 14 (12) ◽

pp. 101221

Author(s):

Minglong Liang ◽

Jian Wang ◽

Chuanjian Wu ◽

Manman Wu ◽

Jingping Hu ◽

...

Keyword(s):

Matrix Metalloproteinase ◽

Oncolytic Virus ◽

Tumor Therapy

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A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus

Complexity ◽

10.1155/2021/9934070 ◽

2021 ◽

Vol 2021 ◽

pp. 1-12

Author(s):

Majda El Younoussi ◽

Zakaria Hajhouji ◽

Khalid Hattaf ◽

Noura Yousfi

Keyword(s):

Mathematical Model ◽

Cancer Therapy ◽

Fractional Differential Equations ◽

Oncolytic Virus ◽

Equilibrium Points ◽

Well Posedness ◽

Boundedness Of Solutions ◽

Proposed Model ◽

Fractional Differential ◽

Theoretical Results

The aim of this work is to propose and analyze a new mathematical model formulated by fractional differential equations (FDEs) that describes the dynamics of oncolytic M1 virotherapy. The well-posedness of the proposed model is proved through existence, uniqueness, nonnegativity, and boundedness of solutions. Furthermore, we study all equilibrium points and conditions needed for their existence. We also analyze the global stability of these equilibrium points and investigate their instability conditions. Finally, we state some numerical simulations in order to exemplify our theoretical results.

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