Effect of cell-mediated , humoral immune responses on global dynamics of a delayed virus infection model

Effect of cell-mediated , humoral immune responses on global dynamics of a delayed virus infection model
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发表时间:
2017
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通讯作者:
Yoichi Enatsu
Yoichi Enatsu
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其他
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作者:
Yoichi Enatsu

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对于疾病发展情景的建模,由于试图预测流行病的最终规模,将人口划分为区段已被公认为一种常见的方法[10]。通过将未感染的细胞、感染的细胞和游离的病毒颗粒隔开,诺瓦克和班加姆的一项开创性工作从理论角度很好地理解了体内病毒种群的动态[13]。在本文中,建模框架是基于常微分方程组的构造,以研究病毒载量对免疫反应的种群动态。随后,许多作者关注了具有抗病毒免疫反应的病毒感染模型平衡点的全局稳定性、病毒载量及其多样性。最近的一个模型将体液免疫反应的影响包括如下[17],
For modeling disease progression scenarios, dividing population into compartments has been recognized as a common approach due to attempts to predict final size of epidemics [10]. With compartments of uninfected cells, infected cells and free virus particles, the dynamics of virus population in vivo has been well-understood from a theoretical point of view by a pioneering work in Nowak and Bangham [13]. In the paper, the modeling framework is based on the construction of ordinary differential equations to invesitgate population dynamics of immune responses on virus load. Many authors have subsequently paid attention to global stability of equilibria of the virus infection models with antiviral immune responses, virus load and its diversity. One of the recent models incorporate the effect humoral immune responses as follows [17],