Elasticity and glocality: initiation of embryonic inversion in Volvox
Elastic objects across a wide range of scales deform under local changes of their intrinsic properties, yet the shapes are glocal, set by a complicated balance between local properties and global geometric constraints. Here, we explore this interplay during the inversion process of the green alga Vo...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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The Royal Society
2015
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| _version_ | 1797070148101734400 |
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| author | Haas,P Goldstein, RE |
| author_facet | Haas,P Goldstein, RE |
| author_sort | Haas,P |
| collection | OXFORD |
| description | Elastic objects across a wide range of scales deform under local changes of their intrinsic properties, yet the shapes are glocal, set by a complicated balance between local properties and global geometric constraints. Here, we explore this interplay during the inversion process of the green alga Volvox, whose embryos must turn themselves inside out to complete their development. This process has recently been shown to be well described by the deformations of an elastic shell under local variations of its intrinsic curvatures and stretches, although the detailed mechanics of the process have remained unclear. Through a combination of asymptotic analysis and numerical studies of the bifurcation behaviour, we illustrate how appropriate local deformations can overcome global constraints to initiate inversion. |
| first_indexed | 2024-03-06T22:34:50Z |
| format | Journal article |
| id | oxford-uuid:59892d72-c33c-4d5b-89c7-82e652538859 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:34:50Z |
| publishDate | 2015 |
| publisher | The Royal Society |
| record_format | dspace |
| spelling | oxford-uuid:59892d72-c33c-4d5b-89c7-82e6525388592022-03-26T17:10:17ZElasticity and glocality: initiation of embryonic inversion in VolvoxJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:59892d72-c33c-4d5b-89c7-82e652538859BiophysicsBiomathematicsEnglishSymplectic ElementsThe Royal Society2015Haas,PGoldstein, REElastic objects across a wide range of scales deform under local changes of their intrinsic properties, yet the shapes are glocal, set by a complicated balance between local properties and global geometric constraints. Here, we explore this interplay during the inversion process of the green alga Volvox, whose embryos must turn themselves inside out to complete their development. This process has recently been shown to be well described by the deformations of an elastic shell under local variations of its intrinsic curvatures and stretches, although the detailed mechanics of the process have remained unclear. Through a combination of asymptotic analysis and numerical studies of the bifurcation behaviour, we illustrate how appropriate local deformations can overcome global constraints to initiate inversion. |
| spellingShingle | Biophysics Biomathematics Haas,P Goldstein, RE Elasticity and glocality: initiation of embryonic inversion in Volvox |
| title | Elasticity and glocality: initiation of embryonic inversion in Volvox |
| title_full | Elasticity and glocality: initiation of embryonic inversion in Volvox |
| title_fullStr | Elasticity and glocality: initiation of embryonic inversion in Volvox |
| title_full_unstemmed | Elasticity and glocality: initiation of embryonic inversion in Volvox |
| title_short | Elasticity and glocality: initiation of embryonic inversion in Volvox |
| title_sort | elasticity and glocality initiation of embryonic inversion in volvox |
| topic | Biophysics Biomathematics |
| work_keys_str_mv | AT haasp elasticityandglocalityinitiationofembryonicinversioninvolvox AT goldsteinre elasticityandglocalityinitiationofembryonicinversioninvolvox |