Sequential pattern formation in a model for skin morphogenesis
During morphogenesis regular patterns often develop behind a frontier of pattern formation which travels across the prospective tissue. Here the authors consider the propagating patterns exhibited in a two-dimensional domain by a tissue interaction mechanochemical model for skin pattern formation. I...
Những tác giả chính: | , , |
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Định dạng: | Journal article |
Được phát hành: |
1992
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_version_ | 1826305736692465664 |
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author | Cruywagen, G Maini, P Murray, J |
author_facet | Cruywagen, G Maini, P Murray, J |
author_sort | Cruywagen, G |
collection | OXFORD |
description | During morphogenesis regular patterns often develop behind a frontier of pattern formation which travels across the prospective tissue. Here the authors consider the propagating patterns exhibited in a two-dimensional domain by a tissue interaction mechanochemical model for skin pattern formation. It is shown that the model can exhibit travelling waves of complex spatial pattern formation. Two alternative mechanisms that can produce such sequential patterning are presented. In particular, it is demonstrated that the specification of a simple quasi-one-dimensional pattern is all that is required to determine a complex two-dimensional pattern. Finally, the model solutions are related to actual pattern propagation during chick feather primordia initiation. |
first_indexed | 2024-03-07T06:37:22Z |
format | Journal article |
id | oxford-uuid:f81c93cb-d8aa-44b4-a71e-59e388520cd6 |
institution | University of Oxford |
last_indexed | 2024-03-07T06:37:22Z |
publishDate | 1992 |
record_format | dspace |
spelling | oxford-uuid:f81c93cb-d8aa-44b4-a71e-59e388520cd62022-03-27T12:47:57ZSequential pattern formation in a model for skin morphogenesisJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f81c93cb-d8aa-44b4-a71e-59e388520cd6Mathematical Institute - ePrints1992Cruywagen, GMaini, PMurray, JDuring morphogenesis regular patterns often develop behind a frontier of pattern formation which travels across the prospective tissue. Here the authors consider the propagating patterns exhibited in a two-dimensional domain by a tissue interaction mechanochemical model for skin pattern formation. It is shown that the model can exhibit travelling waves of complex spatial pattern formation. Two alternative mechanisms that can produce such sequential patterning are presented. In particular, it is demonstrated that the specification of a simple quasi-one-dimensional pattern is all that is required to determine a complex two-dimensional pattern. Finally, the model solutions are related to actual pattern propagation during chick feather primordia initiation. |
spellingShingle | Cruywagen, G Maini, P Murray, J Sequential pattern formation in a model for skin morphogenesis |
title | Sequential pattern formation in a model for skin morphogenesis |
title_full | Sequential pattern formation in a model for skin morphogenesis |
title_fullStr | Sequential pattern formation in a model for skin morphogenesis |
title_full_unstemmed | Sequential pattern formation in a model for skin morphogenesis |
title_short | Sequential pattern formation in a model for skin morphogenesis |
title_sort | sequential pattern formation in a model for skin morphogenesis |
work_keys_str_mv | AT cruywageng sequentialpatternformationinamodelforskinmorphogenesis AT mainip sequentialpatternformationinamodelforskinmorphogenesis AT murrayj sequentialpatternformationinamodelforskinmorphogenesis |