Numerical simulation of the viral entry into a cell driven by receptor diffusion

Numerical simulation of the viral entry into a cell driven by receptor diffusion
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DOI:
10.1016/j.camwa.2020.12.012
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发表时间:
2021-01-22
影响因子:
2.9
通讯作者:
Holzapfel,G. A.
Holzapfel,G. A.
中科院分区:
数学2区
文献类型:
--
作者:
Wiegold,T.;Klinge,S.;Holzapfel,G. A.

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本研究重点关注病毒进入细胞时典型的受体驱动的内吞作用。在这种情况下,细胞和病毒接触时局部增加受体密度是必要的。病毒被认为是其表面具有固定受体的底物,而宿主细胞的受体可以在其膜上自由移动,从而允许其浓度发生局部变化。在接触区,膜弯曲并在病毒周围形成包膜。所产生的囊泡将其货物导入细胞中。本文假设扩散方程伴随着需要粘合剂守恒的边界条件来描述该过程。此外,它还引入了定义粘附区域前部能量平衡的条件。后者给出了可以被细胞膜吞噬的病毒大小的上限。所描述的关于粘合剂密度和粘附前沿速度的移动边界问题已被很好地提出并通过使用有限差分法进行数值求解。选择说明性示例是为了显示过程参数对过程的启动和持续时间的影响。
The present study focuses on the receptor driven endocytosis typical of viral entry into a cell. A locally increased density of receptors at the time of contact between the cell and the virus is necessary in this case. The virus is considered as a substrate with fixed receptors on its surface, whereas the receptors of the host cell are free to move over its membrane, allowing a local change in their concentration. In the contact zone the membrane inflects and forms an envelope around the virus. The created vesicle imports its cargo into the cell. This paper assumes the diffusion equation accompanied by boundary conditions requiring the conservation of binders to describe the process. Moreover, it introduces a condition defining the energy balance at the front of the adhesion zone. The latter yields the upper limit for the size of virus which can be engulfed by the cell membrane. The described moving boundary problem in terms of the binder density and the velocity of the adhesion front is well posed and numerically solved by using the finite difference method. The illustrative examples have been chosen to show the influence of the process parameters on the initiation and the duration of the process.