Handle URI:
http://hdl.handle.net/10754/598787
Title:
Mechanical growth and morphogenesis of seashells
Authors:
Moulton, D.E.; Goriely, A.; Chirat, R.
Abstract:
Seashells grow through the local deposition of mass along the aperture. Many mathematical descriptions of the shapes of shells have been provided over the years, and the basic logarithmic coiling seen in mollusks can be simulated with few parameters. However, the developmental mechanisms underlying shell coiling are largely not understood and the ubiquitous presence of ornamentation such as ribs, tubercles, or spines presents yet another level of difficulty. Here we develop a general model for shell growth based entirely on the local geometry and mechanics of the aperture and mantle. This local description enables us to efficiently describe both arbitrary growth velocities and the evolution of the shell aperture itself. We demonstrate how most shells can be simulated within this framework. We then turn to the mechanics underlying the shell morphogenesis, and develop models for the evolution of the aperture. We demonstrate that the elastic response of the mantle during shell deposition provides a natural mechanism for the formation of three-dimensional ornamentation in shells. © 2012 Elsevier Ltd.
Citation:
Moulton DE, Goriely A, Chirat R (2012) Mechanical growth and morphogenesis of seashells. Journal of Theoretical Biology 311: 69–79. Available: http://dx.doi.org/10.1016/j.jtbi.2012.07.009.
Publisher:
Elsevier BV
Journal:
Journal of Theoretical Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Oct-2012
DOI:
10.1016/j.jtbi.2012.07.009
PubMed ID:
22820493
Type:
Article
ISSN:
0022-5193
Sponsors:
This publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST) (DEM and AG), and based in part upon work supported by the National Science Foundation under grant DMS-0907773 (AG). AG is a Wolfson Royal Society Merit Holder and acknowledges support from a Reintegration Grant under EC Framework VII.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorMoulton, D.E.en
dc.contributor.authorGoriely, A.en
dc.contributor.authorChirat, R.en
dc.date.accessioned2016-02-25T13:41:13Zen
dc.date.available2016-02-25T13:41:13Zen
dc.date.issued2012-10en
dc.identifier.citationMoulton DE, Goriely A, Chirat R (2012) Mechanical growth and morphogenesis of seashells. Journal of Theoretical Biology 311: 69–79. Available: http://dx.doi.org/10.1016/j.jtbi.2012.07.009.en
dc.identifier.issn0022-5193en
dc.identifier.pmid22820493en
dc.identifier.doi10.1016/j.jtbi.2012.07.009en
dc.identifier.urihttp://hdl.handle.net/10754/598787en
dc.description.abstractSeashells grow through the local deposition of mass along the aperture. Many mathematical descriptions of the shapes of shells have been provided over the years, and the basic logarithmic coiling seen in mollusks can be simulated with few parameters. However, the developmental mechanisms underlying shell coiling are largely not understood and the ubiquitous presence of ornamentation such as ribs, tubercles, or spines presents yet another level of difficulty. Here we develop a general model for shell growth based entirely on the local geometry and mechanics of the aperture and mantle. This local description enables us to efficiently describe both arbitrary growth velocities and the evolution of the shell aperture itself. We demonstrate how most shells can be simulated within this framework. We then turn to the mechanics underlying the shell morphogenesis, and develop models for the evolution of the aperture. We demonstrate that the elastic response of the mantle during shell deposition provides a natural mechanism for the formation of three-dimensional ornamentation in shells. © 2012 Elsevier Ltd.en
dc.description.sponsorshipThis publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST) (DEM and AG), and based in part upon work supported by the National Science Foundation under grant DMS-0907773 (AG). AG is a Wolfson Royal Society Merit Holder and acknowledges support from a Reintegration Grant under EC Framework VII.en
dc.publisherElsevier BVen
dc.subjectMantleen
dc.subjectMechanicsen
dc.subjectPattern formationen
dc.subjectShell ornamentationen
dc.titleMechanical growth and morphogenesis of seashellsen
dc.typeArticleen
dc.identifier.journalJournal of Theoretical Biologyen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUniversite Claude Bernard Lyon 1, Villeurbanne, Franceen
kaust.grant.numberKUK-C1-013-04en

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