A mathematical model of oncolytic virotherapy with time delay

Zizi Wang, Zhiming Guo, Hal Smith

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


Oncolytic virotherapy is an emerging treatment modality which uses replication-competent viruses to destroy cancers without causing harm to normal tissues. By the development of molecular biotechnology, many effective viruses are adapted or engineered to make them cancer-specific, such as measles, adenovirus, herpes simplex virus and M1 virus. A successful design of virus needs a full understanding about how viral and host parameters influence the tumor load. In this paper, we propose a mathematical model on the oncolytic virotherapy incorporating viral lytic cycle and virus-specific CTL response. Thresholds for viral treatment and virus-specific CTL response are obtained. Different protocols are given depending on the thresholds. Our results also support that immune suppressive drug can enhance the oncolytic effect of virus as reported in recent literature.

Original languageEnglish (US)
Pages (from-to)1836-1860
Number of pages25
JournalMathematical Biosciences and Engineering
Issue number4
StatePublished - 2019


  • Delay differential equation
  • Hopf bifurcation
  • Immune response
  • Oncolytic virotherapy
  • Stability

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Agricultural and Biological Sciences
  • Computational Mathematics
  • Applied Mathematics


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