对称CTL攻击下宿主内HIV谱系的合并
The Coalescence of Intrahost HIV Lineages Under Symmetric CTL Attack
摘要：
细胞毒性T淋巴细胞（CTL）是被认为在控制HIV感染中发挥重要作用的免疫系统细胞。我们开发了一个随机ODE模型的HIV-CTL相互作用，扩展了目前的确定性ODE模型。基于这个随机模型，我们考虑了CTL攻击对宿主内HIV谱系的影响，假设CTL以相等的强度攻击几个表位。在这种情况下，我们介绍了我们的随机常微分方程的限制版本下，我们表明，艾滋病毒谱系的合并可以描述一个简单的颜料盒建设。通过数值实验，我们表明，我们的结果下的限制随机常微分方程准确地反映了HIV谱系CTL攻击时，HIV人口规模是在其假设范围的低端。目前的HIV谱系构建技术依赖于Kingman聚结剂。我们的研究结果给出了CTL攻击和HIV谱系之间的明确联系。
英文摘要：
Cytotoxic T lymphocytes (CTLs) are immune system cells that are thought to play an important role in controlling HIV infection. We develop a stochastic ODE model of HIV-CTL interaction that extends current deterministic ODE models. Based on this stochastic model, we consider the effect of CTL attack on intrahost HIV lineages assuming CTLs attack several epitopes with equal strength. In this setting, we introduce a limiting version of our stochastic ODE under which we show that the coalescence of HIV lineages can be described by a simple paintbox construction. Through numerical experiments, we show that our results under the limiting stochastic ODE accurately reflect HIV lineages under CTL attack when the HIV population size is on the low end of its hypothesized range. Current techniques of HIV lineage construction depend on the Kingman coalescent. Our results give an explicit connection between CTL attack and HIV lineages.
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