Title

The Replicability of Oncolytic Virus: Defining Conditions in Tumor Virotherapy

Document Type

Article

Department/Program

Mathematics

Journal Title

Mathematical Biosciences and Engineering

Pub Date

2011

Volume

8

Issue

3

First Page

841

Abstract

The replicability of an oncolytic virus is measured by its burst size. The burst size is the number of new viruses coming out from a lysis of an infected tumor cell. Some clinical evidences show that the burst size of an oncolytic virus is a defining parameter for the success of virotherapy. This article analyzes a basic mathematical model that includes burst size for oncolytic virotherapy. The analysis of the model shows that there are two threshold values of the burst size: below the first threshold, the tumor always grows to its maximum (carrying capacity) size; while passing this threshold, there is a locally stable positive equilibrium solution appearing through transcritical bifurcation; while at or above the second threshold, there exits one or three families of periodic solutions arising from Hopf bifurcations. The study suggests that the tumor load can drop to a undetectable level either during the oscillation or when the burst size is large enough.

DOI

10.3934/mbe.2011.8.841

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