Departament de Matemàtiques, Facultat de Ciències, Edifici C, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain.
Math Biosci. 2013 Jan;241(1):99-108. doi: 10.1016/j.mbs.2012.09.009. Epub 2012 Oct 23.
In this article, we analyze a system modeling bacteriophage treatments for infections in a noisy context. In the small noise regime, we show that after a reasonable amount of time the system is close to a bacteria free equilibrium (which is a relevant biologic information) with high probability. Mathematically speaking, our study hinges on concentration techniques for delayed stochastic differential equations.
在这篇文章中,我们分析了一个在噪声环境下利用噬菌体治疗感染的系统模型。在小噪声的情况下,我们证明在合理的时间内,系统很有可能接近一个无细菌的平衡状态(这是一个相关的生物学信息)。从数学上讲,我们的研究依赖于时滞随机微分方程的浓度技术。