Chaotic behavior in the locomotion ofamoeba proteus |
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Authors: | Hiromi Miyoshi Yuki Kagawa Yoshimi Tsuchiya |
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Institution: | (1) Department of Biological Sciences, Faculty of Bioscience and Biotechnology, Tokyo Instiof Technology, Midoriku, Yokohama;(2) Department of Biological Sciences, Faculty of Bioscience and Biotechnology, Tokyo Institute of Technology, Nagatsuta 4259, Midoriku, 226-8501 Yokohama, Japan |
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Abstract: | Summary The locomotion ofAmoeba 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 ofA. proteus images captured with a charge-coupled-device camera, which characterize its random motion. The correlation dimension analyzed
has shown the random motion ofA. 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 ofA. 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. |
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Keywords: | Amoeba proteus Random motion Correlation dimension Lyapunov spectrum Chaos |
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