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A mathematical model of viral oncology as an immuno-oncology instigator.
Mathematical Medicine and Biology ( IF 1.1 ) Pub Date : 2020-02-28 , DOI: 10.1093/imammb/dqz008
Tyler Cassidy 1 , Antony R Humphries 1, 2
Affiliation  

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.

中文翻译:

病毒肿瘤学的数学模型作为免疫肿瘤学的启发。

我们开发和分析肿瘤-免疫相互作用的数学模型,该模型通过使用分布式延迟微分方程明确将异质性纳入肿瘤细胞周期持续时间。我们得出了无癌平衡的局部稳定性的必要和充分条件,其中肿瘤-免疫相互作用的量完全表征了疾病的进展。与免疫编辑假设一致,我们表明降低的肿瘤-免疫相互作用导致肿瘤扩大。最后,通过模拟数学模型,我们表明肿瘤与免疫相互作用的强度决定了病毒治疗的长期成功或失败。
更新日期:2019-11-01
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