The Euler Spiral of Rat Whiskers

Journal article


Starostin, E., Grant, R.A., Dougill, G., van der Heijden, G.H.M. and Goss, G. (2020). The Euler Spiral of Rat Whiskers. Science Advances. 6 (3).
AuthorsStarostin, E., Grant, R.A., Dougill, G., van der Heijden, G.H.M. and Goss, G.
Abstract

This paper reports on an analytical study of the intrinsic shapes of 523 whiskers from 15 rats. We show that the variety of whiskers on a rat’s cheek, each of which has different lengths and shapes, can be described by a simple mathematical
equation such that each whisker is represented as an interval on the Euler spiral. When all the representative curves of mystacial vibrissae for a single rat are assembled together, they span an interval extending from one coiled domain of the Euler Spiral to the other. We additionally find that each
whisker makes nearly the same angle of 47 with the normal to the spherical virtual surface formed by the tips of whiskers, which constitutes the rat’s tactile sensory shroud or ‘search-space’. The implications of the linear curvature
model for gaining insight into relationships between growth, form and function are discussed.

Year2020
JournalScience Advances
Journal citation6 (3)
PublisherAmerican Association for the Advancement of Science
ISSN2375-2548
Digital Object Identifier (DOI)doi:10.1126/sciadv.aax5145
Web address (URL)https://advances.sciencemag.org/content/6/3/eaax5145
Publication dates
Print15 Jan 2020
Publication process dates
Accepted02 Oct 2019
Deposited22 Nov 2019
Publisher's version
License
CC BY
File Access Level
Open
Permalink -

https://openresearch.lsbu.ac.uk/item/88774

Publisher's version
SpiralPaper2020.pdf
License: CC BY
File access level: Open

  • 45
    total views
  • 7
    total downloads
  • 1
    views this month
  • 2
    downloads this month

Related outputs

Reach of an Inclined Cantilever with a Tip Load
Singh, P. and Goss, V.G.A. (2019). Reach of an Inclined Cantilever with a Tip Load. Archives of Mechanics. 71 (6), pp. 595-614.
The Clamped-Free Rod Under Inclined End Forces and Transitions Between Equilibrium Configurations
Singh, P. and Goss, V.G.A. (2019). The Clamped-Free Rod Under Inclined End Forces and Transitions Between Equilibrium Configurations. Journal of Engineering Mathematics. 117 (1), pp. 65-78.
Forceless Sadowsky strips are spherical
Starostin, EL and Van Der Heijden, GHM (2018). Forceless Sadowsky strips are spherical. Physical Review E. 97 (2), pp. 023001-.
Asymptotic analysis of the clamped-pinned elastica
Singh, P. and Goss, VGA (2018). Asymptotic analysis of the clamped-pinned elastica. Archives of Mechanics. 70 (4), pp. 1-20.
Critical Points of the Clamped-Pinned Elastica
Singh, P and Goss, VGA (2018). Critical Points of the Clamped-Pinned Elastica. Acta Mechanica.
Large Llamas with Silver Shoes
Goss, VGA (2017). Large Llamas with Silver Shoes. Society & Animals. 25 (2), pp. 144-162.
Equilibrium shapes with stress localisation for inextensible elastic möbius and other strips
Starostin, EL and Van Der Heijden, GHM (2016). Equilibrium shapes with stress localisation for inextensible elastic möbius and other strips. in: The Mechanics of Ribbons and Möbius Bands pp. 67-112
Loading paths for an elastic rod in contact with a flat inclined surface
Goss, VGA (2016). Loading paths for an elastic rod in contact with a flat inclined surface. International Journal of Solids and Structures. 88-89, pp. 274-282.