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This study focuses on quantifying the locomotion of C. elegans, a nematode, through dynamic diffraction measurements. Previous work on the C. elegans has shown that their locomotion is chaotic by estimating the Largest Lyapunov Exponents (LLE) using the Rosenstein algorithm; however, this algorithm is restricted to estimating only the LLE, ignoring the remaining Lyapunov spectrum. The Wolf algorithm, an alternative algorithm, can be modified to estimate other Lyapunov Exponents, which can lead to a deeper understanding of the locomotion of C. elegans. We confirm that for the same system the LLEs calculated with each algorithm are consistent. The LLE using the Wolf algorithm of \(1.25 \pm 0.05\) \(\textrm{sec}^{-1}\) is consistent with the LLE calculated with the Rosenstein algorithm \(1.27 \pm 0.04\) \(\textrm{sec}^{-1}\) .

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Comparing the Rosenstein and Wolf Algorithms in Experimental Chaos Through C. elegans Locomotion

  • 会议论文

  • 发表日期：

    2026年

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  • Dimitrios Tzepos,
  • Olivia Trader,
  • Jenny Magnes

摘要

This study focuses on quantifying the locomotion of C. elegans, a nematode, through dynamic diffraction measurements. Previous work on the C. elegans has shown that their locomotion is chaotic by estimating the Largest Lyapunov Exponents (LLE) using the Rosenstein algorithm; however, this algorithm is restricted to estimating only the LLE, ignoring the remaining Lyapunov spectrum. The Wolf algorithm, an alternative algorithm, can be modified to estimate other Lyapunov Exponents, which can lead to a deeper understanding of the locomotion of C. elegans. We confirm that for the same system the LLEs calculated with each algorithm are consistent. The LLE using the Wolf algorithm of \(1.25 \pm 0.05\) \(\textrm{sec}^{-1}\) is consistent with the LLE calculated with the Rosenstein algorithm \(1.27 \pm 0.04\) \(\textrm{sec}^{-1}\) .