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An Integrative Model of Internal Axoneme Mechanics and External Fluid Dynamics in Ciliary Beating

✍ Scribed by ROBERT H. DILLON; LISA J. FAUCI


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
228 KB
Volume
207
Category
Article
ISSN
0022-5193

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✦ Synopsis


We present a #uid-mechanical model of an individual cilium which incorporates discrete representations of the dynein arms, the passive elastic structure of the axoneme including the microtubules and nexin links. This model, based upon the immersed boundary method (Peskin, 1977), couples the internal force generation of the molecular motors through the passive elastic structure with the external #uid mechanics governed by the Navier}Stokes equations. Detailed geometric information is available, such as the spacing and shear between the microtubules, the local curvature of individual microtubules and the stretching of the nexin links. In addition, the explicit representation of the dynein motors allows us the #exibility to incorporate a variety of activation theories. In this article, we choose a simple activation theory so that the ciliary beat is not present, but is an emergent property of the interacting components of the coupled #uid}axoneme system. We present numerical results from computer simulations of sliding disintegration and ciliary beating with several di!erent viscosities.