Biomathematics Seminar: Morphomechanical basis for seashell form
7 October 2014 14:00 in Department of Mathematical Sciences
Seashells have intrigued scientists and mathematicians alike for centuries. Over the past couple hundred years palaeontologists have amassed a huge body of observations on shell form and its evolutionary variation and diversification. However, though the patterns in shells have been well documented, the developmental mechanisms underlying the patterns have remained largely elusive. In this talk I will present work on models for shell morphogenesis. First I present a mathematical framework to describe the basic shell shape, based on differential geometry of curves. I then turn to the presence of shell ornamentation such as spines and ribs, and demonstrate how such structures can be understood via a continuum mechanical description of the growth process.
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