Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

A boundary element regularized Stokeslet method applied to cilia- and flagella-driven flow

D. J. Smith
Proceedings: Mathematical, Physical and Engineering Sciences
Vol. 465, No. 2112 (8 December 2009), pp. 3605-3626
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/25661405
Page Count: 22
  • Read Online (Free)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A boundary element regularized Stokeslet method applied to cilia- and flagella-driven flow
Preview not available

Abstract

A boundary element implementation of the regularized Stokeslet method of Cortez is applied to cilia and flagella-driven flows in biology. Previously published approaches implicitly combine the force discretization and the numerical quadrature used to evaluate boundary integrals. By contrast, a boundary element method can be implemented by discretizing the force using basis functions, and calculating integrals using accurate numerical or analytic integration. This substantially weakens the coupling of the mesh size for the force and the regularization parameter, and greatly reduces the number of degrees of freedom required. When modelling a cilium or flagellum as a one-dimensional filament, the regularization parameter can be considered a proxy for the body radius, as opposed to being a parameter used to minimize numerical errors. Modelling a patch of cilia, it is found that: (i) for a fixed number of cilia, reducing cilia spacing reduces transport, (ii) for fixed patch dimension, increasing cilia number increased the transport, up to a plateau at 9 × 9 cilia. Modelling a choanoflagellate cell, it is found that the presence of a lorica structure significantly affects transport and flow outside the lorica, but does not significantly alter the force experienced by the flagellum.

Page Thumbnails

  • Thumbnail: Page 
3605
    3605
  • Thumbnail: Page 
3606
    3606
  • Thumbnail: Page 
3607
    3607
  • Thumbnail: Page 
3608
    3608
  • Thumbnail: Page 
3609
    3609
  • Thumbnail: Page 
3610
    3610
  • Thumbnail: Page 
3611
    3611
  • Thumbnail: Page 
3612
    3612
  • Thumbnail: Page 
3613
    3613
  • Thumbnail: Page 
3614
    3614
  • Thumbnail: Page 
3615
    3615
  • Thumbnail: Page 
3616
    3616
  • Thumbnail: Page 
3617
    3617
  • Thumbnail: Page 
3618
    3618
  • Thumbnail: Page 
3619
    3619
  • Thumbnail: Page 
3620
    3620
  • Thumbnail: Page 
3621
    3621
  • Thumbnail: Page 
3622
    3622
  • Thumbnail: Page 
3623
    3623
  • Thumbnail: Page 
3624
    3624
  • Thumbnail: Page 
3625
    3625
  • Thumbnail: Page 
3626
    3626