A mechanism for morphogen-controlled domain growth
Many developmental systems are organised via the action of graded distributions of morphogens. In the Drosophila wing disc, for example, recent experimental evidence has shown that graded expression of the morphogen Dpp controls cell proliferation and hence disc growth. Our goal is to explore a simp...
| Main Authors: | , |
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| Format: | Journal article |
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2007
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| _version_ | 1797089672763015168 |
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| author | Baker, R Maini, P |
| author_facet | Baker, R Maini, P |
| author_sort | Baker, R |
| collection | OXFORD |
| description | Many developmental systems are organised via the action of graded distributions of morphogens. In the Drosophila wing disc, for example, recent experimental evidence has shown that graded expression of the morphogen Dpp controls cell proliferation and hence disc growth. Our goal is to explore a simple model for regulation of wing growth via the Dpp gradient: we use a system of reaction-diffusion equations to model the dynamics of Dpp and its receptor Tkv, with advection arising as a result of the flow generated by cell proliferation. We analyse the model both numerically and analytically, showing that uniform domain growth across the disc produces an exponentially growing wing disc. |
| first_indexed | 2024-03-07T03:07:26Z |
| format | Journal article |
| id | oxford-uuid:b305a911-feeb-4017-be07-898b2e92e5fc |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:07:26Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:b305a911-feeb-4017-be07-898b2e92e5fc2022-03-27T04:16:02ZA mechanism for morphogen-controlled domain growthJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b305a911-feeb-4017-be07-898b2e92e5fcMathematical Institute - ePrints2007Baker, RMaini, PMany developmental systems are organised via the action of graded distributions of morphogens. In the Drosophila wing disc, for example, recent experimental evidence has shown that graded expression of the morphogen Dpp controls cell proliferation and hence disc growth. Our goal is to explore a simple model for regulation of wing growth via the Dpp gradient: we use a system of reaction-diffusion equations to model the dynamics of Dpp and its receptor Tkv, with advection arising as a result of the flow generated by cell proliferation. We analyse the model both numerically and analytically, showing that uniform domain growth across the disc produces an exponentially growing wing disc. |
| spellingShingle | Baker, R Maini, P A mechanism for morphogen-controlled domain growth |
| title | A mechanism for morphogen-controlled domain growth |
| title_full | A mechanism for morphogen-controlled domain growth |
| title_fullStr | A mechanism for morphogen-controlled domain growth |
| title_full_unstemmed | A mechanism for morphogen-controlled domain growth |
| title_short | A mechanism for morphogen-controlled domain growth |
| title_sort | mechanism for morphogen controlled domain growth |
| work_keys_str_mv | AT bakerr amechanismformorphogencontrolleddomaingrowth AT mainip amechanismformorphogencontrolleddomaingrowth AT bakerr mechanismformorphogencontrolleddomaingrowth AT mainip mechanismformorphogencontrolleddomaingrowth |