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Mechanical growth and morphogenesis of seashells
D E Moulton1, A Goriely, R Chirat
1OCCAM, Mathematical Institute, University of Oxford, Oxford, UK. moulton@maths.ox.ac.uk
Journal of Theoretical Biology
|July 24, 2012
Summary
This study presents a new model for seashell growth, explaining coiling and ornamentation through aperture geometry and mantle mechanics. The model simulates diverse shell shapes and reveals how mantle elasticity creates 3D shell features.
Area of Science:
- Developmental biology
- Biophysics
- Mathematical modeling
Background:
- Seashells exhibit logarithmic coiling, mathematically described but with unknown developmental mechanisms.
- Shell ornamentation (ribs, spines) adds complexity to understanding shell morphogenesis.
- Existing models often simplify growth dynamics and aperture evolution.
Purpose of the Study:
- To develop a general model for shell growth based on local aperture and mantle properties.
- To simulate diverse shell shapes and growth patterns.
- To investigate the mechanical basis for shell morphogenesis and ornamentation.
Main Methods:
- Developed a computational model focusing on the local geometry and mechanics of the shell aperture and mantle.
- Incorporated arbitrary growth velocities and aperture evolution into the model.
- Analyzed the elastic response of the mantle during shell deposition.
Main Results:
- The model successfully simulates a wide variety of seashell shapes.
- It efficiently describes arbitrary growth velocities and aperture evolution.
- Demonstrated that mantle elasticity naturally generates three-dimensional shell ornamentation.
Conclusions:
- A general model based on local aperture and mantle mechanics can explain seashell growth and coiling.
- The elastic properties of the mantle are a key factor in forming complex shell ornamentation.
- This framework provides a unified approach to understanding shell morphogenesis.
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