一维肌动蛋白生长模型的跑步稳定性
Treadmilling stability of a one-dimensional actin growth model
摘要：
肌动蛋白生长是一个基本的生物物理过程，同时也是扩散介导的表面生长的一个典型例子。我们制定了一个耦合的化学力学，一维生长模型，包括材料吸积和烧蚀。由结合的肌动蛋白单体组成的固体棒在一端固定，并在另一端连接到弹性装置。例如，这种类似弹簧的装置可以是原子力显微镜的悬臂尖端。弹簧施加在杆上的压缩力随着固体的增长而增加，并影响增长率。的机械行为的酒吧，在周围的溶剂中的自由肌动蛋白单体的扩散和动力学生长规律在吸积/消融结束占。肌动蛋白的本构响应是由一个凸的，但在其他方面任意弹性应变能量密度函数。研究了以恒定长度的连续演化体为特征的跑步机解决方案。存在性和稳定性的结果被浓缩在简单的公式的形式和它们的物理含义进行了讨论。
英文摘要：
Actin growth is a fundamental biophysical process and it is, at the same time, a prototypical example of diffusion-mediated surface growth. We formulate a coupled chemo-mechanical, one-dimensional growth model encompassing both material accretion and ablation. A solid bar composed of bound actin monomers is fixed at one end and connected to an elastic device at the other. This spring-like device could, for example, be the cantilever tip of an atomic force microscope. The compressive force applied by the spring on the bar increases as the solid grows and affects the rate of growth. The mechanical behaviour of the bar, the diffusion of free actin monomers in a surrounding solvent and the kinetic growth laws at the accreting/ablating ends are accounted for. The constitutive response of actin is modeled by a convex but otherwise arbitrary elastic strain energy density function. Treadmilling solutions, characterized by a constant length of the continuously evolving body, are investigated. Existence and stability results are condensed in the form of simple formulas and their physical implications are discussed.
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