A dynamical model of ommatidial crystal formation

David K. Lubensky, Matthew W. Pennington, Boris I. Shraiman, Nicholas E. Baker

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

The crystalline photoreceptor lattice in the Drosophila eye is a paradigm for pattern formation during development. During eye development, activation of proneural genes at a moving front adds new columns to a regular lattice of R8 photoreceptors. We present a mathematical model of the governing activator - inhibitor system, which indicates that the dynamics of positive induction play a central role in the selection of certain cells as R8s. The "switch and template" patterning mechanism we observe is mathematically very different from the well-known Turing instability. Unlike a standard lateral inhibition model, our picture implies that R8s are defined before the appearance of the complete group of proneural cells. The model reproduces the full time course of proneural gene expression and accounts for specific features of the refinement of proneural groups that had resisted explanation. It moreover predicts that perturbing the normal template can lead to eyes containing stripes of R8 cells. We observed these stripes experimentally after manipulation of the Notch and scabrous genes. Our results suggest an alternative to the generally assumed mode of operation for lateral inhibition during development; more generally, they hint at a broader role for bistable switches in the initial establishment of patterns as well as in their maintenance.

Original languageEnglish (US)
Pages (from-to)11145-11150
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Volume108
Issue number27
DOIs
StatePublished - Jul 5 2011

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Transcriptional Activation
Drosophila
Theoretical Models
Maintenance
Gene Expression
Genes

Keywords

  • Imaginal disc
  • Neural fate specification

ASJC Scopus subject areas

  • General

Cite this

A dynamical model of ommatidial crystal formation. / Lubensky, David K.; Pennington, Matthew W.; Shraiman, Boris I.; Baker, Nicholas E.

In: Proceedings of the National Academy of Sciences of the United States of America, Vol. 108, No. 27, 05.07.2011, p. 11145-11150.

Research output: Contribution to journalArticle

Lubensky, David K. ; Pennington, Matthew W. ; Shraiman, Boris I. ; Baker, Nicholas E. / A dynamical model of ommatidial crystal formation. In: Proceedings of the National Academy of Sciences of the United States of America. 2011 ; Vol. 108, No. 27. pp. 11145-11150.
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