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Complex Orthogonal Decomposition Applied to Nematode Posturing

Feeny, B. F. and Sternberg, P. W. and Cronin, C. J. and Coppola, C. A. (2013) Complex Orthogonal Decomposition Applied to Nematode Posturing. Journal of Computational and Nonlinear Dynamics, 8 (4). Art. No. 041010. ISSN 1555-1423. doi:10.1115/1.4023548.

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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 Caenorhabditis elegans, an intensively studied nematode. The decomposition indicates that the worm has a multimodal posturing behavior, involving a dominant forward locomotion mode, a secondary, steering mode, and likely a mode for reverse motion. The locomotion mode is closer to a pure traveling waveform than the steering mode. The characteristic wavelength of the primary mode is estimated in the complex plane. The frequency is obtained from the complex modal coordinate's complex whirl rate of the complex modal coordinate, and from its fast Fourier transform. Short-time decompositions indicate the variation of the wavelength and frequency through the time record.

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Sternberg, P. W.0000-0002-7699-0173
Additional Information:© 2013 by ASME. Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received October 12, 2011; final manuscript received September 15, 2012; published online May 14, 2013. Assoc. Editor: D. Dane Quinn. This work was supported in part by the National Institutes of Health (Grant No. USPHS DA018341) and was related in part to a project with the National Science Foundation (CMMI-0727838). Any opinions, findings, and conclusions or recommendations are those of the authors and do not necessarily reflect the views of the NSF.
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Issue or Number:4
Record Number:CaltechAUTHORS:20131114-073305975
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Official Citation:Feeny BF, Sternberg PW, Cronin CJ, Coppola CA. Complex Orthogonal Decomposition Applied to Nematode Posturing. J. Comput. Nonlinear Dynam.. 2013;8(4):041010-041010-8. doi:10.1115/1.4023548
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42444
Deposited By: Tony Diaz
Deposited On:14 Nov 2013 16:30
Last Modified:10 Nov 2021 16:23

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