Extended Narrow Escape with Many Windows for Analyzing Viral Entry into the Cell Nucleus

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• 作者：T. Lagache ; D. Holcman
• 关键词：Narrow escape ; Physical virology ; Green’s function ; MFPT ; Asymptotic formulas ; Laplace’s equation ; Biophysical modeling ; Virus trafficking
• 刊名：Journal of Statistical Physics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：166
• 期：2
• 页码：244-266
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Statistical Physics and Dynamical Systems; Theoretical, Mathematical and Computational Physics; Physical Chemistry; Quantum Physics;
• 出版者：Springer US
• ISSN：1572-9613
• 卷排序：166

文摘

Many viruses must enter the cell nucleus through small nanopores in order to replicate. We model here the viral motion as a stochastic process described by the Survival Fokker–Planck equation. We estimate the probability and the conditional mean first passage time that a viral trajectory is absorbed at a small nuclear pore before being terminated. The method is based on the explicit Neumann–Green’s function. The cell nucleus is modeled as a three dimensional ball, covered with thousands of small absorbing windows. The minimum distance between them defines the smallest spatial scale that is an unavoidable limit for efficient stochastic simulations. Derived asymptotic formula agree with stochastic simulations and reveal how small and large geometrical parameters define the cytoplasmic stage of viral infection.