Prospective guidance in a free-swimming cell

Jonathan Delafield-Butt, Gert-Jan Pepping, Colin McCaig, David Lee

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A systems theory of movement control in animals is presented and applied to explaining the controlled behaviour of the single-celled Paramecium caudatum in an electric field. The theory – General Tau Theory – is founded on three basic principles: (i) all purposive movement entails prospectively controlling the closure of action-gaps (e.g. a distance gap when reaching, an angle gap when steering); (ii) the sole informational variable required for controlling gaps is the relative rate of change of the gap (the time derivative of the gap size divided by the size), which can be directly sensed; and (iii) coordinated movement is achieved by keeping the relative rates of change of gaps in constant ratio. The theory is supported by studies of controlled movement in mammals, birds, and insects. We now show for the first time that it is also supported by single-celled paramecia steering to the cathode in a bi-polar electric field. General Tau Theory is deployed to explain this guided steering by the cell. This presents the first computational model of prospective perceptual control in a non-neural, single-celled system.
LanguageEnglish
Pages283-293
Number of pages11
JournalBiological Cybernetics
Volume106
Issue number4-5
DOIs
Publication statusPublished - 1 Jul 2012

Fingerprint

Electric fields
Mammals
Paramecium caudatum
Birds
System theory
Paramecium
Systems Theory
Animals
Cathodes
Derivatives
Insects
Electrodes
Swimming

Keywords

  • cellular guidance
  • paramecium
  • galvanotaxis
  • tau-coupling
  • general tau theory

Cite this

Delafield-Butt, Jonathan ; Pepping, Gert-Jan ; McCaig, Colin ; Lee, David. / Prospective guidance in a free-swimming cell. In: Biological Cybernetics. 2012 ; Vol. 106, No. 4-5. pp. 283-293.
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Prospective guidance in a free-swimming cell. / Delafield-Butt, Jonathan; Pepping, Gert-Jan; McCaig, Colin; Lee, David.

In: Biological Cybernetics, Vol. 106, No. 4-5, 01.07.2012, p. 283-293.

Research output: Contribution to journalArticle

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