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Complex Modal Decomposition Applied to Nematode Posturing

[+] Author Affiliations
B. F. Feeny

Michigan State University, East Lansing, MI

P. W. Sternberg, C. J. Cronin

California Institute of Technology, Pasadena, CA

Paper No. DETC2009-87800, pp. 247-254; 8 pages
doi:10.1115/DETC2009-87800
From:
  • ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts A and B
  • San Diego, California, USA, August 30–September 2, 2009
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4898-2 | eISBN: 978-0-7918-3856-3
  • Copyright © 2009 by ASME

abstract

The complex orthogonal decomposition (COD), a process of extracting complex modes from complex ensemble data, is summarized, as is the use of complex modal coordinates. A brief assessment is made on how small levels of noise affect the decomposition. The decomposition is applied to the posturing of a wild Caenorhabditis elegans nematode. The decomposition indicates that the worm has a multi-modal posturing behavior, involving at least a dominant locomotion mode and a secondary, steering mode. The locomotion mode is closer to a pure traveling waveform than the steering mode. The characteristic wavelength of the primary mode was estimated in the complex plane. Frequency was obtained from the complex modal coordinate’s complex whirl rate of the complex modal coordinate, and from its fast Fourier transform.

Copyright © 2009 by ASME

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