Caravagna Giulio, d'Onofrio Alberto, Milazzo Paolo, Barbuti Roberto
Dipartimento di Informatica, Università di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy.
J Theor Biol. 2010 Aug 7;265(3):336-45. doi: 10.1016/j.jtbi.2010.05.013. Epub 2010 May 16.
The well-known Kirschner-Panetta model for tumour-immune System interplay [Kirschner, D., Panetta, J.C., 1998. Modelling immunotherapy of the tumour-immune interaction. J. Math. Biol. 37 (3), 235-252] reproduces a number of features of this essential interaction, but it excludes the possibility of tumour suppression by the immune system in the absence of therapy. Here we present a hybrid-stochastic version of that model. In this new framework, we show that in reality the model is also able to reproduce the suppression, through stochastic extinction after the first spike of an oscillation.
著名的用于肿瘤 - 免疫系统相互作用的基尔施纳 - 帕内塔模型[基尔施纳，D.，帕内塔，J.C.，1998年。肿瘤 - 免疫相互作用的免疫治疗建模。《数学生物学杂志》37(3)，235 - 252]再现了这种基本相互作用的许多特征，但它排除了在没有治疗的情况下免疫系统抑制肿瘤的可能性。在此，我们提出该模型的一个混合随机版本。在这个新框架中，我们表明实际上该模型也能够通过振荡的首次峰值后的随机灭绝来再现这种抑制作用。
