# Interfaces in a Game-theoretic Setting for Controlling the Plasmodium Motions

### Andrew Schumann, Krzysztof Pancerz

#### Abstract

The plasmodium is the large one-cell organism containing a mass of multinucleate protoplasm. It is an active feeding stage of Physarum polycephalum or Badhamia utricularis and it moves by protoplasmic streaming which reverses every 30-60 s. In moving, the plasmodium switches its direction or even multiplies in accordance with different biosignals attracting or repelling its motions, e.g. in accordance with pheromones of bacterial food, which attract the plasmodium, and high salt concentrations, which repel it. So, the plasmodium motions can be controlled by different topologies of attractants and repellents so that the plasmodium can be considered a programmable biological device in the form of a timed transition system, where attractants and repellents determine the set of all plasmodium transitions. Furthermore, we can define $p$-adic probabilities on these transitions and, using them, we can define a knowledge state of plasmodium and its game strategy in occupying attractants as payoffs for the plasmodium. As a result, we can regard the task of controlling the plasmodium motions as a game and we can design different interfaces in a game-theoretic setting for the controllers of plasmodium transitions.

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#### Paper Citation

#### in Harvard Style

Schumann A. and Pancerz K. (2015). **Interfaces in a Game-theoretic Setting for Controlling the Plasmodium Motions** . In *Proceedings of the International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2015)* ISBN 978-989-758-069-7, pages 338-343. DOI: 10.5220/0005285203380343

#### in Bibtex Style

@conference{biosignals15,

author={Andrew Schumann and Krzysztof Pancerz},

title={Interfaces in a Game-theoretic Setting for Controlling the Plasmodium Motions},

booktitle={Proceedings of the International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2015)},

year={2015},

pages={338-343},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005285203380343},

isbn={978-989-758-069-7},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Bio-inspired Systems and Signal Processing - Volume 1: BIOSIGNALS, (BIOSTEC 2015)

TI - Interfaces in a Game-theoretic Setting for Controlling the Plasmodium Motions

SN - 978-989-758-069-7

AU - Schumann A.

AU - Pancerz K.

PY - 2015

SP - 338

EP - 343

DO - 10.5220/0005285203380343