How to generate pentagonal symmetry using Turing systems
We explore numerically the formation of Turing patterns in a confined circular domain with small aspect ratio. Our results show that stable fivefold patterns are formed over a well defined range of disk sizes, offering a possible mechanism for inducing the fivefold symmetry observed in early develop...
| Main Authors: | , , , , |
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| Format: | Journal article |
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2002
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| _version_ | 1826293923553738752 |
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| author | Aragón, J Torres, M Gil, D Barrio, R Maini, P |
| author_facet | Aragón, J Torres, M Gil, D Barrio, R Maini, P |
| author_sort | Aragón, J |
| collection | OXFORD |
| description | We explore numerically the formation of Turing patterns in a confined circular domain with small aspect ratio. Our results show that stable fivefold patterns are formed over a well defined range of disk sizes, offering a possible mechanism for inducing the fivefold symmetry observed in early development of regular echinoids. Using this pattern as a seed, more complex biological structures can be mimicked, such as the pigmentation pattern of sea urchins and the plate arrangements of the calyxes of primitive camerate crinoids. |
| first_indexed | 2024-03-07T03:37:40Z |
| format | Journal article |
| id | oxford-uuid:bcd42c87-f7f0-4fdc-8ff6-70b7a841dcc9 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:37:40Z |
| publishDate | 2002 |
| record_format | dspace |
| spelling | oxford-uuid:bcd42c87-f7f0-4fdc-8ff6-70b7a841dcc92022-03-27T05:27:22ZHow to generate pentagonal symmetry using Turing systemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bcd42c87-f7f0-4fdc-8ff6-70b7a841dcc9Mathematical Institute - ePrints2002Aragón, JTorres, MGil, DBarrio, RMaini, PWe explore numerically the formation of Turing patterns in a confined circular domain with small aspect ratio. Our results show that stable fivefold patterns are formed over a well defined range of disk sizes, offering a possible mechanism for inducing the fivefold symmetry observed in early development of regular echinoids. Using this pattern as a seed, more complex biological structures can be mimicked, such as the pigmentation pattern of sea urchins and the plate arrangements of the calyxes of primitive camerate crinoids. |
| spellingShingle | Aragón, J Torres, M Gil, D Barrio, R Maini, P How to generate pentagonal symmetry using Turing systems |
| title | How to generate pentagonal symmetry using Turing systems |
| title_full | How to generate pentagonal symmetry using Turing systems |
| title_fullStr | How to generate pentagonal symmetry using Turing systems |
| title_full_unstemmed | How to generate pentagonal symmetry using Turing systems |
| title_short | How to generate pentagonal symmetry using Turing systems |
| title_sort | how to generate pentagonal symmetry using turing systems |
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