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Mathematical models with frills.

Pierre A Haas1

  • 1Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Cambridge, United Kingdom.

Elife
|June 26, 2019
PubMed
Summary
This summary is machine-generated.

The neck frill of the frilled lizard (Chlamydosaurus) develops from a mechanical instability during its growth. This study explores the developmental origins of this unique reptilian feature.

Keywords:
Chamydosauruselastic instabilityevolutionary biologyevolutionary developmental biologyfrilled dragonmorphogenesispatterningphysics of living systems

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Area of Science:

  • Developmental biology
  • Biomechanics
  • Herpetology

Background:

  • The frilled lizard (Chlamydosaurus) possesses a unique and prominent neck frill.
  • The evolutionary and developmental origins of this structure are not fully understood.

Purpose of the Study:

  • To investigate the developmental mechanisms underlying the formation of the Chlamydosaurus neck frill.
  • To identify the physical principles governing frill morphogenesis.

Main Methods:

  • Utilized comparative anatomical analysis.
  • Employed biophysical modeling to simulate developmental processes.
  • Examined embryonic development stages of Chlamydosaurus.

Main Results:

  • The frill's development is driven by a mechanical instability during tissue growth.
  • This instability leads to the characteristic folding and expansion of the frill structure.
  • The process is analogous to buckling phenomena observed in engineering.

Conclusions:

  • The spectacular frill of Chlamydosaurus originates from inherent mechanical instabilities during embryonic development.
  • Understanding these principles provides insight into the evolution of complex morphological traits in vertebrates.