𝔖 Bobbio Scriptorium
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The morphogenesis of molluscan shells: A mathematical account using biological parameters

✍ Scribed by Dr. Søren Løvtrup; Michael Løvtrup

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
659 KB
Volume
197
Category
Article
ISSN
0362-2525

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✦ Synopsis

In attempts to account mathematically for the morphogenesis of biological structures it is important that the parameters chosen for the purpose should be "biological," that is, they should refer directly to the growth processes through which the structure is formed.

Molluscan shells are formed by accretional growth at the mantle edge, and the parameters used for the mathematical description of their formation should therefore refer to events taking place there.

In the best of previous attempts to solve this problem, two out of three form parameters have met with this demand, but it was not possible to eliminate P, half the apical angle of the cone on which lie the centers of successive whorls.

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✍ Séverine Urdy; Nicolas Goudemand; Hugo Bucher; Régis Chirat 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 815 KB

## Abstract This article explores the close relationships between growth rate and allometries of molluscan shells. After reviewing the previous theoretical approaches devoted to the understanding of shell form and its morphogenesis, we present a free‐form vector model which can simulate apertural s