密度增强运动性和尺寸调节的群体感应
Quorum sensing with density-enhanced motility and size regulation
AI总结：
本研究提出密度增强尺寸与运动性模型，发现斑点、孔洞、条带和迷宫等结构，其尺度由感应半径控制，总面积随尺寸比增加而减少，活跃分数几乎不变，展示了微观调节与大规模图案形成的耦合。
AI中文摘要：
受生物系统以及我之前关于密度增强运动性群体感应研究的启发，我研究了一个密度增强尺寸和运动性的模型，在该模型中，当局部密度（在大于粒子直径的长度尺度上）超过全局密度时，粒子尺寸和运动性都会增加。沿不同尺寸比出现的结构分别是斑点、孔洞、条带和迷宫，这些结构由几个不同的观察结果控制。首先，特征图案长度尺度由感应半径控制，并且大致与尺寸比无关。其次，粒子占据的总面积随尺寸比的增加而减少。第三，活跃分数几乎不依赖于尺寸比。这些结果表明，粒子尺寸和运动性如何将微观调节耦合到大规模图案形成。最后，我讨论了模型可能的扩展。
英文摘要：
Motivated by biological systems and my previous studies of quorum sensing with density-enhanced motility, I study a model of density-enhanced size and motility, in which both particle size and motility increase when the local density (over a distance larger than particle diameter) exceeds the global density. The emergent structures along different size ratios are spots, holes, bands and labyrinths controlled by several distinct observations. First, the characteristic pattern length scale is controlled by the sensing radius and remains approximately independent of the size ratio. Second, the total area occupied by the particles decreases with increasing size ratio. Third, the active fraction barely depends on the size ratio. These results demonstrate how both particle size and motility can couple microscopic regulation to large-scale pattern formation. I conclude by discussing possible extensions of the model.
