Multiparticle Collision Dynamics Simulations of the Flagellar Apparatus in Chlamydomonas reinhardtii
Using multiparticle collision dynamics simulations, we investigate the swimming dynamics, orientational behavior, and hydrodynamic interactions of a model swimmer designed to mimic the isolated flagellar apparatus ($FA$) of Chlamydomonas reinhardtii. We represent the $FA$ as a chain of monomers connected by elastic springs, with two traveling waves originating at its center and propagating in opposite directions along the chain. Our simulations show that an $FA$ whose beat pattern has non-zero mean curvature sustains ballistic motion for several hundred beats before transitioning to a diffusion-dominated regime via rotational diffusion. In contrast, a flagellar apparatus with zero mean curvature ($FA_0$) -- generates mirror-symmetric deformations and fails to achieve net propulsion. Both the active $FA$ and $FA_0$ exhibit orientational autocorrelation functions that decay exponentially -- matching those of their inactive counterparts -- indicating that active beating does not influence the FA's rotational diffusion. Driving the two flagellar arms at different frequencies reproduces the epitrochoid-like trajectory observed experimentally. Finally, hydrodynamic interactions between two $FA$s give rise to co-moving bound pairs in either parallel or antiparallel configurations, with their stability governed by the phase difference of the curvature waves. Together, our results establish a versatile model microswimmer with tunable dynamics -- offering a blueprint for the rational design of artificial, flagella-driven microswimmers.