基于遗传网络和模块原理的模式化
Patterning by genetic networks and modular principle
摘要：
在这里，我们认为形态发生（模式形成）的问题，一些遗传网络模型。首先，我们证明了任何给定的时空模式都可以由涉及足够多基因的遗传网络生成。此外，图案化过程可以通过有效的算法来执行。我们还表明，图灵或Meinhardt的类型的反应扩散模型可以近似的遗传网络。这些结果利用了基因形成功能单元并以块（模块原理）组织的基本事实。由于这种模块化组织，基因总是能够构建任何新的模式，甚至从旧模式构建新模式的任何时间序列。计算机模拟说明了分析结果。
英文摘要：
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 organised in blocks (modular principle). Due to this modular organisation, the genes always are capable to construct any new patterns and even any time sequences of new patterns from old patterns. Computer simulations illustrate analytical results.
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