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bioRxiv · 10.1101/429233

A mathematical model of viral oncology as a instigator of immuno-oncology

Cassidy, T.·Humphries, A. R.
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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. Our necessary and sufficient conditions for local stability of the cancer free equilibrium completely characterise the importance of tumour-immune interaction in disease progression. Consistent with the immunoediting hypothesis, we show that decreasing tumour-immune interaction leads to tumour expansion. Finally, we show that immune involvement is crucial in determining the long-term response to viral therapy.

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Cassidy, T., Humphries, A. R.. 2018-09-27. A mathematical model of viral oncology as a instigator of immuno-oncology. https://doi.org/10.1101/429233

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