Abstract for "Fluid Dynamic Models of flagellar and ciliary beating"

We have developed a fluid-mechanical model of a eucaryotic axoneme that couples the internal force generation of dynein molecular motors, the passive elastic mechanics of microtubules, and forces due to nexin links with a surrounding incompressible fluid. This model has been used to examine both ciliary beating [1] and flagellar motility [2]. In this paper, we show preliminary simulation results for sperm motility in both viscous and viscoelastic fluids, as well as multiciliary interaction with a mucus layer.

References:

[1] Dillon, R. H. and Fauci, L. J. (2000). An integrative model of internal axoneme mechanics and external fluid dynamics in ciliary beating. Journal of Theoretical Biology, 207:415-430.
[2] Dillon, R. H., Fauci, L. J., and Omoto, C. (2003). Mathematical modeling of axoneme mechanics and fluid dynamics in ciliary and sperm motility. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 10(5):745-757. Progress in partial differential equations (Pullman, WA, 2002).