论文标题
有效的相互作用液滴的模拟
Effective simulations of interacting active droplets
论文作者
论文摘要
液滴形成了细胞中生物分子时空组织的基石。这些液滴是使用化学反应和强加梯度等物理过程控制的，使用传统方法模拟，例如求解Cahn-Hilliard方程。为了克服这一挑战，我们在这里提出了一种替代，有效的方法。主要思想是专注于相关的自由度，例如液滴位置和大小。我们使用分析解决方案来得出这些数量的动态方程，以简化情况。我们对完全分辨的模拟验证了我们的方法，并表明它可以使用传统方法的计算成本的一小部分来描述化学反应和外部梯度的影响下的相互作用液滴。我们的方法可以扩展到将来包含其他过程，因此将作为了解细胞中液滴动态的相关平台。
Droplets form a cornerstone of the spatiotemporal organization of biomolecules in cells. These droplets are controlled using physical processes like chemical reactions and imposed gradients, which are costly to simulate using traditional approaches, like solving the Cahn-Hilliard equation. To overcome this challenge, we here present an alternative, efficient method. The main idea is to focus on the relevant degrees of freedom, like droplet positions and sizes. We derive dynamical equations for these quantities using analytical solutions to simplified situations. We verify our method against fully-resolved simulations and show that it can describe interacting droplets under the influence of chemical reactions and external gradients using only a fraction of the computational costs of traditional methods. Our method can be extended to include other processes in the future and will thus serve as a relevant platform for understanding the dynamics of droplets in cells.
