Lawley Sean D, Tuft Marie, Brooks Heather A
Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042709. doi: 10.1103/PhysRevE.92.042709. Epub 2015 Oct 20.
Viruses and other cellular cargo that lack locomotion must rely on diffusion and cellular transport systems to navigate through a biological cell. Indeed, advances in single particle tracking have revealed that viral motion alternates between (a) diffusion in the cytoplasm and (b) active transport along microtubules. This intermittency makes quantitative analysis of trajectories difficult. Therefore, the purpose of this paper is to construct mathematical methods to approximate intermittent dynamics by effective stochastic differential equations. The coarse-graining method that we develop is more accurate than existing techniques and applicable to a wide range of intermittent transport models. In particular, we apply our method to two- and three-dimensional cell geometries (disk, sphere, and cylinder) and demonstrate its accuracy. In addition to these specific applications, we also explain our method in full generality for use on future intermittent models.
缺乏移动能力的病毒和其他细胞物质必须依靠扩散和细胞运输系统在生物细胞中移动。事实上，单粒子追踪技术的进展表明，病毒的运动在以下两种状态之间交替：（a）在细胞质中扩散，以及（b）沿微管进行主动运输。这种间歇性使得对轨迹进行定量分析变得困难。因此，本文的目的是构建数学方法，通过有效的随机微分方程来近似间歇性动力学。我们开发的粗粒化方法比现有技术更精确，并且适用于广泛的间歇性运输模型。特别是，我们将我们的方法应用于二维和三维细胞几何形状（圆盘、球体和圆柱体）并证明了其准确性。除了这些具体应用之外，我们还全面地解释了我们的方法，以便用于未来的间歇性模型。
