The replicability of oncolytic virus: Defining conditions in tumor virotherapy
The replicability of an oncolytic virus is measured byits burst size. The burst size is the number of new viruses comingout from a lysis of an infected tumor cell. Some clinicalevidences show that the burst size of an oncolytic virus is a definingparameter for the success of virotherapy. This articl...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-05-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.841 |
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| Summary: | The replicability of an oncolytic virus is measured byits burst size. The burst size is the number of new viruses comingout from a lysis of an infected tumor cell. Some clinicalevidences show that the burst size of an oncolytic virus is a definingparameter for the success of virotherapy. This article analyzes a basic mathematical model that includes burst size for oncolyticvirotherapy. 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. |
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| ISSN: | 1551-0018 |