10th EAI International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS)

Research Article

On Arithmetic Functions in Actin Filament Networks

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  • @INPROCEEDINGS{10.4108/eai.22-3-2017.152402,
        author={Andrew Schumann},
        title={On Arithmetic Functions in Actin Filament Networks},
        proceedings={10th EAI International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS)},
        publisher={EAI},
        proceedings_a={BICT},
        year={2017},
        month={3},
        keywords={actin filament; f-actin; g-actin; p-adic integer; neural network; p-adic valued logic; corecursion; diagonalization},
        doi={10.4108/eai.22-3-2017.152402}
    }
    
  • Andrew Schumann
    Year: 2017
    On Arithmetic Functions in Actin Filament Networks
    BICT
    EAI
    DOI: 10.4108/eai.22-3-2017.152402
Andrew Schumann,*
    *Contact email: Andrew.Schumann@gmail.com

    Abstract

    This paper is devoted to actin filament networks as a computation medium. The point is that actin filaments are sensitive to outer cellular stimuli (attractants as well as repellents) and they appear and disappear at different places of the cell to change the cell structure, e.g. its shape. Due to assembling and disassembling actin filaments, Amoeba proteus can move in responses to different stimuli. As a result, Amoeba proteus can be considered a simple reversible logic gate, where outer cellular signals are its inputs and the amoeba motions are its outputs. In this way, we can implement the FREDKIN logic gate on the amoeba behaviours. The actin filament networks have the same basic properties as neural networks: lateral inhibition; lateral activation; recurrent inhibition; recurrent excitation; feedforward inhibition; feedforward excitation; convergence/divergence. These networks can embody arithmetic functions defined recursively and corecursively within p-adic valued logic. Furthermore, within these networks we can define the so-called diagonalization for deducing undecidable arithmetic functions.