A mathematical model of oncolytic virotherapy with time delay

Zizi Wang, Zhiming Guo, Hal Smith

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume16
Issue number4
DOIs
StatePublished - Jan 1 2019

Fingerprint

Oncolytic Virotherapy
Viruses
Virus
Time Delay
Time delay
Theoretical Models
mathematical models
Mathematical Model
Mathematical models
viruses
Oncolytic Viruses
neoplasms
Measles
Simplexvirus
Cancer
Biotechnology
Virus Replication
Tumor Burden
Adenoviridae
Neoplasms

Keywords

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

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences(all)
  • Computational Mathematics
  • Applied Mathematics

Cite this

A mathematical model of oncolytic virotherapy with time delay. / Wang, Zizi; Guo, Zhiming; Smith, Hal.

In: Mathematical Biosciences and Engineering, Vol. 16, No. 4, 01.01.2019, p. 1836-1860.

Research output: Contribution to journalArticle

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