Reaction-diffusion models for biological pattern formation
We consider the use of reaction-diffusion equations to model biological pattern formation and describe the derivation of the reaction-terms for several illustrative examples. After a brief discussion of the Turing instability in such systems we extend the model formulation to incorporate domain gro...
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| Format: | Journal article |
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2001
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| _version_ | 1797064114932023296 |
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| author | Crampin, E Maini, P |
| author_facet | Crampin, E Maini, P |
| author_sort | Crampin, E |
| collection | OXFORD |
| description | We consider the use of reaction-diffusion equations to model biological pattern formation and describe the derivation of the reaction-terms for several illustrative examples. After a brief discussion of the Turing instability in such systems we extend the model formulation to incorporate domain growth. Comparisons are drawn between solution behaviour on growing domains and recent results on self-replicating patterns on domains of fixed size. |
| first_indexed | 2024-03-06T21:09:37Z |
| format | Journal article |
| id | oxford-uuid:3daf24d1-96a6-4359-92a2-ba1078a3d134 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:09:37Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:3daf24d1-96a6-4359-92a2-ba1078a3d1342022-03-26T14:20:57ZReaction-diffusion models for biological pattern formationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3daf24d1-96a6-4359-92a2-ba1078a3d134Mathematical Institute - ePrints2001Crampin, EMaini, PWe consider the use of reaction-diffusion equations to model biological pattern formation and describe the derivation of the reaction-terms for several illustrative examples. After a brief discussion of the Turing instability in such systems we extend the model formulation to incorporate domain growth. Comparisons are drawn between solution behaviour on growing domains and recent results on self-replicating patterns on domains of fixed size. |
| spellingShingle | Crampin, E Maini, P Reaction-diffusion models for biological pattern formation |
| title | Reaction-diffusion models for biological pattern formation |
| title_full | Reaction-diffusion models for biological pattern formation |
| title_fullStr | Reaction-diffusion models for biological pattern formation |
| title_full_unstemmed | Reaction-diffusion models for biological pattern formation |
| title_short | Reaction-diffusion models for biological pattern formation |
| title_sort | reaction diffusion models for biological pattern formation |
| work_keys_str_mv | AT crampine reactiondiffusionmodelsforbiologicalpatternformation AT mainip reactiondiffusionmodelsforbiologicalpatternformation |