Phase Dependent Forcing and Synchronization in the three-sphere model of Chlamydomonas
Abstract
The green alga {\it Chlamydomonas} swims with synchronized beating of its two flagella, and is experimentally observed to exhibit run-and-tumble behaviour similar to bacteria. Recently we studied a simple hydrodynamic three-sphere model of {\it Chlamydomonas} with a phase dependent driving force which can produce run-and-tumble behaviour when intrinsic noise is added, due to the non-linear mechanics of the system. Here, we consider the noiseless case and explore numerically the parameter space in the driving force profiles, which determine whether or not the synchronized state evolves from a given initial condition, as well as the stability of the synchronized state. We find that phase dependent forcing, or a beat pattern, is necessary for stable synchronization in the geometry we work with.
Keywords
Cite
@article{arxiv.1304.2956,
title = {Phase Dependent Forcing and Synchronization in the three-sphere model of Chlamydomonas},
author = {Rachel R. Bennett and Ramin Golestanian},
journal= {arXiv preprint arXiv:1304.2956},
year = {2015}
}
Comments
17 pages, 10 composite figures (made of 32 separate files)