Probing the effects of the well-mixed assumption on viral infection dynamics

Probing the effects of the well-mixed assumption on viral infection dynamics
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DOI:
10.1016/j.jtbi.2006.03.014
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发表时间:
2006-09-21
影响因子:
2
通讯作者:
Beauchemin, Catherine
Beauchemin, Catherine
中科院分区:
生物学4区
文献类型:
--
作者:
Beauchemin, Catherine

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病毒动力学已被广泛研究,在过去通过使用空间混合常微分方程描述的时间演变的疾病状态。然而,新出现的空间结构,如局部死亡细胞群,可能会对感染的传播产生不利影响,类似于反击可以阻止森林火灾蔓延的方式。在先前的出版物[Beauchemin,C.,Samuel,J.,Tuszynski,J.,2005.甲型流感病毒感染的一个简单元胞自动机模型。J. Theor Biol.232(2),223-234],引入了一种简单的二维细胞自动机模型,并显示其足够准确以模拟甲型流感的简单感染。在这里,这个模型被用来研究放松混合假设的影响。特别是,感染细胞的初始分布,死亡上皮细胞的再生规则,免疫细胞的增殖规则的影响进行了探索,并显示出在我们的模型中的病毒感染的发展和结果有重要的影响。(c)2006爱思唯尔有限公司保留所有权利。
Viral kinetics have been extensively studied in the past through the use of spatially well-mixed ordinary differential equations describing the time evolution of the diseased state. However, emerging spatial structures such as localized populations of dead cells might adversely affect the spread of infection, similar to the manner in which a counter-fire can stop a forest fire from spreading. In a previous publication [Beauchemin, C., Samuel, J., Tuszynski, J., 2005. A simple cellular automaton model for influenza A viral infections. J. Theor. Biol. 232(2), 223-234], a simple two-dimensional cellular automaton model was introduced and shown to be accurate enough to model an uncomplicated infection with influenza A. Here, this model is used to investigate the effects of relaxing the well-mixed assumption. Particularly, the effects of the initial distribution of infected cells, the regeneration rule for dead epithelial cells, and the proliferation rule for immune cells are explored and shown to have an important impact on the development and outcome of the viral infection in our model. (c) 2006 Elsevier Ltd. All rights reserved.