论文标题
限制在两态微图中的活动粒子的最小模型
Minimal model for active particles confined in a two-state micropattern
论文作者
论文摘要
我们提出了一个基于活性布朗颗粒的最小模型,以限制在两态微图中的细胞的动力学,该细胞由由桥连接的两个矩形盒组成,并研究了过渡统计。当活动粒子越过桥的中心时,盒子之间发生过渡,随后的过渡之间的时间是停留时间。通过假设旋转扩散时间$τ$是该位置的函数,可以恢复观察到的过渡统计的主要特征。 $τ$控制着长时间尺度上从弹道制度到扩散状态的过渡,其有效扩散系数与$τ$成比例。对于$τ$的少量值,停留时间取决于以$τ$衰减的特征扩散时间尺度。对于$τ$的巨大值,与墙壁的相互作用占主导地位,粒子主要停留在盒子的角落,增加了停留时间。我们发现有一个最佳的$τ$,为此,停留时间很小,可以通过更改图案的几何形状来调整其值。
We propose a minimal model, based on active Brownian particles, for the dynamics of cells confined in a two-state micropattern, composed of two rectangular boxes connected by a bridge, and investigate the transition statistics. A transition between boxes occurs when the active particle crosses the center of the bridge, and the time between subsequent transitions is the dwell time. By assuming that the rotational diffusion time $τ$ is a function of the position, the main features of the transition statistics observed experimentally are recovered. $τ$ controls the transition from a ballistic regime at short time scales to a diffusive regime at long time scales, with an effective diffusion coefficient proportional to $τ$. For small values of $τ$, the dwell time is determined by the characteristic diffusion timescale which decays with $τ$. For large values of $τ$, the interaction with the walls dominates and the particle stays mostly at the corners of the boxes increasing the dwell time. We find that there is an optimal $τ$ for which the dwell time is minimal and its value can be tuned by changing the geometry of the pattern.