Related Experiment Video
Updated: Jan 24, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
A mathematical model of oncolytic virotherapy with time delay
Zi Zi Wang1,2, Zhi Ming Guo2, Hal Smith3
1School of Mathematics and Electronic Engineering, Wenzhou University, Wenzhou, 325035, PR China.
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.
Related Concept Videos
Fundamental Mathematical Principles in Pharmacokinetics: Mathematical Expressions and Units
One significant application of mathematics in pharmacokinetics is the characterization of drug distribution through the volume of distribution...
Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs
On the other hand, integral calculus focuses on...
Relation between Mathematical Equations and Block Diagrams
Fundamental Mathematical Principles in Pharmacokinetics: Rate and Order of Reaction
Pharmacokinetic reactions...
The Quantum-Mechanical Model of an Atom
Generation Time

