The role of feedback in the formation of morphogen territories
In this paper, we consider a mathematical model for the forma-tion of spatial morphogen territories of two key morphogens: Wingless (Wg)and Decapentaplegic (DPP), involved in leg development of Drosophila. Wedefine a gene regulatory network (GRN) that utilizes autoactivation and cross-inhibition (mo...
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| Format: | Article |
| Language: | English |
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AIMS Press
2008-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.277 |
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| author | David Iron Adeela Syed Heidi Theisen Tamas Lukacsovich Mehrangiz Naghibi Lawrence J. Marsh Frederic Y. M. Wan Qing Nie |
| author_facet | David Iron Adeela Syed Heidi Theisen Tamas Lukacsovich Mehrangiz Naghibi Lawrence J. Marsh Frederic Y. M. Wan Qing Nie |
| author_sort | David Iron |
| collection | DOAJ |
| description | In this paper, we consider a mathematical model for the forma-tion of spatial morphogen territories of two key morphogens: Wingless (Wg)and Decapentaplegic (DPP), involved in leg development of Drosophila. Wedefine a gene regulatory network (GRN) that utilizes autoactivation and cross-inhibition (modeled by Hill equations) to establish and maintain stable bound-aries of gene expression. By computational analysis we find that in the presenceof a general activator, neither autoactivation, nor cross-inhibition alone are suf-ficient to maintain stable sharp boundaries of morphogen production in the legdisc. The minimal requirements for a self-organizing system are a coupledsystem of two morphogens in which the autoactivation and cross-inhibitionhave Hill coefficients strictly greater than one. In addition, the GRN modeledhere describes the regenerative responses to genetic manipulations of positionalidentity in the leg disc. |
| format | Article |
| id | doaj-art-a2ef041a268b4a73b09c0b5831e5dc13 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-a2ef041a268b4a73b09c0b5831e5dc132025-01-24T01:58:10ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-02-015227729810.3934/mbe.2008.5.277The role of feedback in the formation of morphogen territoriesDavid Iron0Adeela Syed1Heidi Theisen2Tamas Lukacsovich3Mehrangiz Naghibi4Lawrence J. Marsh5Frederic Y. M. Wan6Qing Nie7Dalhousie University, Department of Mathematics and StatisticsDalhousie University, Department of Mathematics and StatisticsDalhousie University, Department of Mathematics and StatisticsDalhousie University, Department of Mathematics and StatisticsDalhousie University, Department of Mathematics and StatisticsDalhousie University, Department of Mathematics and StatisticsDalhousie University, Department of Mathematics and StatisticsDalhousie University, Department of Mathematics and StatisticsIn this paper, we consider a mathematical model for the forma-tion of spatial morphogen territories of two key morphogens: Wingless (Wg)and Decapentaplegic (DPP), involved in leg development of Drosophila. Wedefine a gene regulatory network (GRN) that utilizes autoactivation and cross-inhibition (modeled by Hill equations) to establish and maintain stable bound-aries of gene expression. By computational analysis we find that in the presenceof a general activator, neither autoactivation, nor cross-inhibition alone are suf-ficient to maintain stable sharp boundaries of morphogen production in the legdisc. The minimal requirements for a self-organizing system are a coupledsystem of two morphogens in which the autoactivation and cross-inhibitionhave Hill coefficients strictly greater than one. In addition, the GRN modeledhere describes the regenerative responses to genetic manipulations of positionalidentity in the leg disc.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.277gene regulatory networkpattern formationpartial differential equations.dynamical systems |
| spellingShingle | David Iron Adeela Syed Heidi Theisen Tamas Lukacsovich Mehrangiz Naghibi Lawrence J. Marsh Frederic Y. M. Wan Qing Nie The role of feedback in the formation of morphogen territories Mathematical Biosciences and Engineering gene regulatory network pattern formation partial differential equations. dynamical systems |
| title | The role of feedback in the formation of morphogen territories |
| title_full | The role of feedback in the formation of morphogen territories |
| title_fullStr | The role of feedback in the formation of morphogen territories |
| title_full_unstemmed | The role of feedback in the formation of morphogen territories |
| title_short | The role of feedback in the formation of morphogen territories |
| title_sort | role of feedback in the formation of morphogen territories |
| topic | gene regulatory network pattern formation partial differential equations. dynamical systems |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.277 |
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