Hierarchical models for spatial pattern formation in biology
We review some recent work investigating a hierarchy of patterning processes in which a reaction-diffusion model forms the top level. In one such hierarchy, it is assumed that the boundary is differentiated, and it is shown that this can greatly enhance the robustness of the patterns subsequently fo...
| প্রধান লেখক: | |
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| বিন্যাস: | Journal article |
| প্রকাশিত: |
1995
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| _version_ | 1826271569740038144 |
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| author | Maini, P |
| author_facet | Maini, P |
| author_sort | Maini, P |
| collection | OXFORD |
| description | We review some recent work investigating a hierarchy of patterning processes in which a reaction-diffusion model forms the top level. In one such hierarchy, it is assumed that the boundary is differentiated, and it is shown that this can greatly enhance the robustness of the patterns subsequently formed by the reaction-diffusion model. In the second, a spatial heterogeneity in background environment is first set-up by a simple gradient model. The resulting patterns produced by the reaction-diffusion system may be isolated to specific parts of the domain. The application of such hierarchical models to skeletal patterning in the tetrapod limb is considered. |
| first_indexed | 2024-03-06T21:58:43Z |
| format | Journal article |
| id | oxford-uuid:4dd74930-fa8b-4845-863b-b41a72eda32b |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:58:43Z |
| publishDate | 1995 |
| record_format | dspace |
| spelling | oxford-uuid:4dd74930-fa8b-4845-863b-b41a72eda32b2022-03-26T15:57:47ZHierarchical models for spatial pattern formation in biologyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4dd74930-fa8b-4845-863b-b41a72eda32bMathematical Institute - ePrints1995Maini, PWe review some recent work investigating a hierarchy of patterning processes in which a reaction-diffusion model forms the top level. In one such hierarchy, it is assumed that the boundary is differentiated, and it is shown that this can greatly enhance the robustness of the patterns subsequently formed by the reaction-diffusion model. In the second, a spatial heterogeneity in background environment is first set-up by a simple gradient model. The resulting patterns produced by the reaction-diffusion system may be isolated to specific parts of the domain. The application of such hierarchical models to skeletal patterning in the tetrapod limb is considered. |
| spellingShingle | Maini, P Hierarchical models for spatial pattern formation in biology |
| title | Hierarchical models for spatial pattern formation in biology |
| title_full | Hierarchical models for spatial pattern formation in biology |
| title_fullStr | Hierarchical models for spatial pattern formation in biology |
| title_full_unstemmed | Hierarchical models for spatial pattern formation in biology |
| title_short | Hierarchical models for spatial pattern formation in biology |
| title_sort | hierarchical models for spatial pattern formation in biology |
| work_keys_str_mv | AT mainip hierarchicalmodelsforspatialpatternformationinbiology |