Kusters Remy, van der Heijden Thijs, Kaoui Badr, Harting Jens, Storm Cornelis
Department of Applied Physics, Eindhoven University of Technology, Den Dolech 2, 5600MB Eindhoven, The Netherlands.
Department of Applied Physics, Eindhoven University of Technology, Den Dolech 2, 5600MB Eindhoven, The Netherlands and Theoretical Physics I, University of Bayreuth, D-95447 Bayreuth, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Sep;90(3):033006. doi: 10.1103/PhysRevE.90.033006. Epub 2014 Sep 10.
We study, numerically and analytically, the forced transport of deformable containers through a narrow constriction. Our central aim is to quantify the competition between the constriction geometry and the active forcing, regulating whether and at which speed a container may pass through the constriction and under what conditions it gets stuck. We focus, in particular, on the interrelation between the force that propels the container and the radius of the channel, as these are the external variables that may be directly controlled in both artificial and physiological settings. We present lattice Boltzmann simulations that elucidate in detail the various phases of translocation and present simplified analytical models that treat two limiting types of these membrane containers: deformational energy dominated by the bending or stretching contribution. In either case we find excellent agreement with the full simulations, and our results reveal that not only the radius but also the length of the constriction determines whether or not the container will pass.
我们通过数值模拟和解析分析，研究了可变形容器在狭窄通道中的强制输运。我们的核心目标是量化通道几何形状与主动驱动力之间的竞争，从而确定容器是否能够通过通道、以何种速度通过，以及在何种条件下会受阻。我们特别关注推动容器的力与通道半径之间的相互关系，因为在人工和生理环境中，这两个外部变量是可以直接控制的。我们展示了格子玻尔兹曼模拟，详细阐明了转运的各个阶段，并提出了简化的解析模型，该模型处理了这两种膜容器的两种极限类型：由弯曲或拉伸贡献主导的变形能。在任何一种情况下，我们都发现与完整模拟结果高度吻合，并且我们的结果表明，不仅通道半径，而且通道长度也决定了容器是否能够通过。
