✦ LIBER ✦

Patterning by genetic networks

✍ Scribed by S. Genieys; S. Vakulenko

Book ID: 102514029
Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 150 KB
Volume: 29
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.670

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✦ Synopsis

Abstract

We consider here the morphogenesis (pattern formation) problem for some genetic network models. First, we show that any given spatio‐temporal pattern can be generated by a genetic network involving a sufficiently large number of genes. Moreover, patterning process can be performed by an effective algorithm. We also show that Turing's or Meinhardt's type reaction–diffusion models can be approximated by genetic networks.

These results exploit the fundamental fact that the genes form functional units and are organized in blocks. Due to this modular organization, the genes always are capable to construct any new patterns and even any time sequences of new patterns from old patterns. Computer simulations illustrate some analytical results. Copyright © 2005 John Wiley & Sons, Ltd.

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