论文标题
用机械化学反馈在膜上反应扩散系统中的模式形成
Pattern Formation in Reaction-Diffusion System on Membrane with Mechanochemical Feedback
论文作者
论文摘要
生物膜的形状在活细胞中动态调节。尽管已经对蛋白质在热平衡下的膜形状变形进行了广泛的研究，但探索了非平衡动力学。最近，化学反应在质膜中已在实验中观察到。因此，重要的是要了解如何在可变形的弯曲膜上修改反应扩散动力学。在这里，我们使用动态三角膜模拟与Brusselator模型相结合，研究了膜变形和化学反应之间的机械化学反馈引起的囊泡的非平衡模式形成。我们发现，通过线性稳定性分析确定，膜变形相对于在不可构造的弯曲表面上发生的稳定模式发生了变化。我们进一步发现，发芽和多主轴形状是由图灵模式诱导的，我们还观察到了从振荡模式到稳定的斑点模式的过渡。我们的结果表明，机械化学反馈在图案形成对变形膜上的重要性。
Shapes of biological membranes are dynamically regulated in living cells. Although membrane shape deformation by proteins at thermal equilibrium has been extensively studied, nonequilibrium dynamics have been much less explored. Recently, chemical reaction propagation has been experimentally observed in plasma membranes. Thus, it is important to understand how the reaction-diffusion dynamics are modified on deformable curved membranes. Here, we investigated nonequilibrium pattern formation on vesicles induced by mechanochemical feedback between membrane deformation and chemical reactions, using dynamically triangulated membrane simulations combined with the Brusselator model. We found that membrane deformation changes stable patterns relative to those that occur on a non-deformable curved surface, as determined by linear stability analysis. We further found that budding and multi-spindle shapes are induced by Turing patterns, and we also observed the transition from oscillation patterns to stable spot patterns. Our results demonstrate the importance of mechanochemical feedback in pattern formation on deforming membranes.
