Affiliation:
1. Department of Mathematics and Statistics, McGill University, Montreal, Canada
2. Department of Physiology, McGill University, Montreal, Canada
Abstract
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.
Funder
Natural Sciences and Engineering Research Council of Canada
Alberta Government
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Pharmacology,General Environmental Science,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modeling and Simulation,General Medicine,General Neuroscience
Cited by
10 articles.
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