论文标题
鞭毛在球体上的流体动力偶联的最小模型，并应用于沃尔沃克斯
A Minimal Model of the Hydrodynamical Coupling of Flagella on a Spherical Body with application to Volvox
论文作者
论文摘要
鞭毛是带有微生物的类似头发的附属物，使生物可以穿越其液体环境。藻类Volvox是球形游泳者，表面上有成千上万个单独的鞭毛，他们的协调尚未完全理解。在这项工作中，先前开发的最小鞭毛同步模型扩展到浸入流体中的球的外表面。每个跳动的鞭毛尖端被建模为一个小球体，在球形表面上方的圆形轨道上绑定到圆形轨道，并且用于在球体外流动的正规图像系统用于执行无滑动条件。转子与生物学相关的分布导致从球体沃尔沃克斯体的前部到后部传播的迅速发展且稳健的符号基质波。
Flagella are hair-like appendages attached to microorganisms that allow the organisms to traverse their fluid environment. The algae Volvox are spherical swimmers with thousands of individual flagella on their surface and their coordination is not fully understood. In this work, a previously developed minimal model of flagella synchronization is extended to the outer surface of a sphere submerged in a fluid. Each beating flagellum tip is modelled as a small sphere, elastically bound to a circular orbit just above the spherical surface and a regularized image system for Stokes flow outside of a sphere is used to enforce the no-slip condition. Biologically relevant distributions of rotors results in a rapidly developing and robust symplectic metachronal wave traveling from the anterior to the posterior of the spherical Volvox body.
