Chaotic behavior in the locomotion of amoeba proteus

Hiromi Miyoshi*, Yuki Kagawa, Yoshimi Tsuchiya

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The locomotion of Amoeba proteus has been investigated by algorithms evaluating correlation dimension and Lyapunov spectrum developed in the field of nonlinear science. It is presumed by these parameters whether the random behavior of the system is stochastic or deterministic. For the analysis of the nonlinear parameters, n-dimensional time-delayed vectors have been reconstructed from a time series of periphery and area of A. proteus images captured with a charge-coupled-device camera, which characterize its random motion. The correlation dimension analyzed has shown the random motion of A. proteus is subjected only to 3-4 macrovariables, though the system is a complex system composed of many degrees of freedom. Furthermore, the analysis of the Lyapunov spectrum has shown its largest exponent takes positive values. These results indicate the random behavior of A. proteus is chaotic and deterministic motion on an attractor with low dimension. It may be important for the elucidation of the cell locomotion to take account of nonlinear interactions among a small number of dynamics such as the sol-gel transformation, the cytoplasmic streaming, and the relating chemical reaction occurring in the cell.

Original languageEnglish
Pages (from-to)66-70
Number of pages5
Issue number1-2
Publication statusPublished - 2001 Mar


  • Amoeba proteus
  • Chaos
  • Correlation dimension
  • Lyapunov spectrum
  • Random motion

ASJC Scopus subject areas

  • Cell Biology
  • Plant Science


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