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Preparation of Adult Drosophila Eyes for Thin Sectioning and Microscopic Analysis
Published on: August 27, 2011
Switch and template pattern formation in a discrete reaction-diffusion system inspired by the Drosophila eye
1Biophysics Program, The University of Michigan-Ann Arbor, 450 Church St., 48109, Ann Arbor, MI, USA.
The European Physical Journal. E, Soft Matter
|September 24, 2010
Summary
This study explores a reaction-diffusion model for pattern formation in Drosophila eye development. It reveals robust pattern generation through a "switch and template" mechanism, dependent on timescale separation and self-activation.
Area of Science:
- Developmental Biology
- Mathematical Biology
- Systems Biology
Background:
- The Drosophila eye imaginal disc exhibits a periodic gene expression pattern.
- A spatially discrete reaction-diffusion model can generate hexagonal patterns observed in flies.
Purpose of the Study:
- To investigate the "switch and template" mechanism of pattern formation.
- To analyze the model's behavior in one dimension using analytic and numerical methods.
Main Methods:
- One-dimensional analysis of a reaction-diffusion model.
- Numerical parameter space searches.
- Analytic derivation of front speed and pattern wavelength.
Main Results:
- Pattern formation is robust under specific conditions: timescale separation and strong self-activation.
- Expressions for front speed and pattern wavelength were derived.
- The model operates in a nonlinear regime where initial conditions influence the final pattern.
Conclusions:
- Cellularization and cell-autonomous feedback are crucial for biological pattern formation.
- The
- switch and template
- mechanism provides a robust way to generate patterns.
- Understanding these models aids in deciphering developmental processes.
