An asymptotic study of the inductive pattern formation mechanism in Drosophila egg development

Document Type

Article

Publication Date

12-1-2003

Abstract

The complexity and nonlinear dynamics of patterning networks in development make modeling an important approach for the evaluation of the experimentally derived pattern formation mechanisms. As a rule, mechanistic models of patterning networks have large number of uncertain parameters; model analysis requires extensive computational searches of the parameter space. Analytical techniques can circumvent these difficulties and offer important insights into the networks' functional capabilities. Here, we present an asymptotic analysis of the multiple steady states and transitions between them in a mechanistic model of patterning events specifying the formation of a pair organ in Drosophila oogenesis. The model describes the interaction between the spatially nonuniform inductive signal and a network of spatially distributed feedback loops. Our approach dramatically reduces the complexity of the problem and provides an explicit analytical method for the construction and parametric analysis of the patterned states responsible for signaling. The analysis reveals a skeleton structure for the patterning capability of the considered regulatory module and demonstrates how a single regulatory network can be used to generate a variety of developmental patterns. © 2003 Elsevier B.V. All rights reserved.

Identifier

0242579380 (Scopus)

Publication Title

Physica D Nonlinear Phenomena

External Full Text Location

https://doi.org/10.1016/S0167-2789(03)00182-9

ISSN

01672789

First Page

93

Last Page

108

Issue

1-2

Volume

186

Grant

DMS-0211864

Fund Ref

National Science Foundation

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