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D'Arcy thompson's theorems and the shape of the molluscan shell

✍ Scribed by Søren Løvtrup; Björn von Sydow

Publisher
Springer
Year
1974
Tongue
English
Weight
470 KB
Volume
36
Category
Article
ISSN
1522-9602

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✦ Synopsis

The paper deals with properties of mathematical models of biological systems. It is shown that under suitable conditions the number of parameters employed in the model depends only on the biological system and not on the particular model chosen. As an application the mathematical description of the formation of molluscan shells is discussed.

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Allometries and the morphogenesis of the molluscan shell: a quantitative and theoretical model
✍ 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