论文标题
曲率和刚性的相互作用在汇合组织的基于形状的模型中
Interplay of curvature and rigidity in shape-based models of confluent tissue
论文作者
论文摘要
简单模型中汇合细胞中的刚度转变已成为理解密集生物组织的动力学和力学的强大组织原理。在这项工作中，我们探讨了局限于球体表面的二维顶点模型中的几何和刚性之间的相互作用。通过考虑由周长定义的细胞的形状，其大小取决于球形多边形确定的地质距离和区域，此类模型中的临界形状指数受细胞大小相对于嵌入其嵌入的球体的半径的影响。这意味着细胞可以通过种植球体的大小来共同固化，即通过调整其域的曲率。有限温度的研究表明，细胞运动远离零温过渡点的影响很大。
Rigidity transitions in simple models of confluent cells have been a powerful organizing principle in understanding the dynamics and mechanics of dense biological tissue. In this work we explore the interplay between geometry and rigidity in two-dimensional vertex models confined to the surface of a sphere. By considering shapes of cells defined by perimeters whose magnitude depends on geodesic distances and areas determined by spherical polygons, the critical shape index in such models is affected by the size of the cell relative to the radius of the sphere on which it is embedded. This implies that cells can collectively rigidify by growing the size of the sphere, i.e. by tuning the curvature of their domain. Finite-temperature studies indicate that cell motility is affected well away from the zero-temperature transition point.
