Modeling the skin pattern of fishes
Complicated patterns showing various spatial scales have been obtained in the past by coupling Turing systems in such a way that the scales of the independent systems resonate. This produces superimposed patterns with different length scales. Here we propose a model consisting of two identical react...
| Main Authors: | , , , , , , |
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| Format: | Journal article |
| Published: |
2009
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| _version_ | 1826290013184196608 |
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| author | Barrio, R Baker, R Vaughan, JR., B Tribuzy, K de Carvalho, M Bassanezi, R Maini, P |
| author_facet | Barrio, R Baker, R Vaughan, JR., B Tribuzy, K de Carvalho, M Bassanezi, R Maini, P |
| author_sort | Barrio, R |
| collection | OXFORD |
| description | Complicated patterns showing various spatial scales have been obtained in the past by coupling Turing systems in such a way that the scales of the independent systems resonate. This produces superimposed patterns with different length scales. Here we propose a model consisting of two identical reaction-diffusion systems coupled together in such a way that one of them produces a simple Turing pattern of spots or stripes, and the other traveling wave fronts that eventually become stationary. The basic idea is to assume that one of the systems becomes fixed after some time and serves as a source of morphogens for the other system. This mechanism produces patterns very similar to the pigmentation patterns observed in different species of stingrays and other fishes. The biological mechanisms that support the realization of this model are discussed. |
| first_indexed | 2024-03-07T02:37:41Z |
| format | Journal article |
| id | oxford-uuid:a956fb7b-6adb-4aa7-8ed2-54b6661d4efc |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:37:41Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:a956fb7b-6adb-4aa7-8ed2-54b6661d4efc2022-03-27T03:07:52ZModeling the skin pattern of fishesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a956fb7b-6adb-4aa7-8ed2-54b6661d4efcMathematical Institute - ePrints2009Barrio, RBaker, RVaughan, JR., BTribuzy, Kde Carvalho, MBassanezi, RMaini, PComplicated patterns showing various spatial scales have been obtained in the past by coupling Turing systems in such a way that the scales of the independent systems resonate. This produces superimposed patterns with different length scales. Here we propose a model consisting of two identical reaction-diffusion systems coupled together in such a way that one of them produces a simple Turing pattern of spots or stripes, and the other traveling wave fronts that eventually become stationary. The basic idea is to assume that one of the systems becomes fixed after some time and serves as a source of morphogens for the other system. This mechanism produces patterns very similar to the pigmentation patterns observed in different species of stingrays and other fishes. The biological mechanisms that support the realization of this model are discussed. |
| spellingShingle | Barrio, R Baker, R Vaughan, JR., B Tribuzy, K de Carvalho, M Bassanezi, R Maini, P Modeling the skin pattern of fishes |
| title | Modeling the skin pattern of fishes |
| title_full | Modeling the skin pattern of fishes |
| title_fullStr | Modeling the skin pattern of fishes |
| title_full_unstemmed | Modeling the skin pattern of fishes |
| title_short | Modeling the skin pattern of fishes |
| title_sort | modeling the skin pattern of fishes |
| work_keys_str_mv | AT barrior modelingtheskinpatternoffishes AT bakerr modelingtheskinpatternoffishes AT vaughanjrb modelingtheskinpatternoffishes AT tribuzyk modelingtheskinpatternoffishes AT decarvalhom modelingtheskinpatternoffishes AT bassanezir modelingtheskinpatternoffishes AT mainip modelingtheskinpatternoffishes |