The role of feedback in the formation of morphogen territories

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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Bibliographic Details
Main Authors: David Iron, Adeela Syed, Heidi Theisen, Tamas Lukacsovich, Mehrangiz Naghibi, Lawrence J. Marsh, Frederic Y. M. Wan, Qing Nie
Format: Article
Language:English
Published: AIMS Press 2008-02-01
Series:Mathematical Biosciences and Engineering
Subjects:
gene regulatory network
pattern formation
partial differential equations.
dynamical systems
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.277
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Summary: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.
ISSN:1551-0018

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