Symmetry methods in mathematical biology

Abstract

Many biological systems have aspects of symmetry. Symmetry is formalized using group theory. This theory applies not just to the geometry of symmetric systems, but to their dynamics. The basic ideas of symmetric dynamics and bifurcation theory are applied to speciation, animal locomotion, the visual cortex, pattern formation in animal markings and geographical location, and the geometry of virus protein coats.

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Golubitsky, M., Stewart, I. Symmetry methods in mathematical biology. São Paulo J. Math. Sci. 9, 1–36 (2015). https://doi.org/10.1007/s40863-015-0001-9

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Keywords

  • Symmetry
  • Biology
  • Network
  • Bifurcation
  • Speciation
  • Locomotion
  • Hallucination
  • Neuroscience
  • Virus