Related Experiment Video
Updated: Jan 21, 2026

A Human Peripheral Blood Mononuclear Cell PBMC Engrafted Humanized Xenograft Model for Translational Immuno-oncology I-O Research
Published on: August 15, 2019
A mathematical model of viral oncology as an immuno-oncology instigator
Tyler Cassidy1, Antony R Humphries1,2
1Department of Mathematics and Statistics, McGill University, Montreal, Canada.
Abstract:
We develop and analyse a mathematical model of tumour-immune interaction that explicitly incorporates heterogeneity in tumour cell cycle duration by using a distributed delay differential equation. We derive a necessary and sufficient condition for local stability of the cancer-free equilibrium in which the amount of tumour-immune interaction completely characterizes disease progression. Consistent with the immunoediting hypothesis, we show that decreasing tumour-immune interaction leads to tumour expansion. Finally, by simulating the mathematical model, we show that the strength of tumour-immune interaction determines the long-term success or failure of viral therapy.
More Related Videos
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...
Viral Recombination
Viral Structure
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...

