Spatially Periodic Domain Struture in Coupled Reaction-Diffusion Equations for Segment Formation
Spatially Periodic Domain Struture in Coupled Reaction-Diffusion Equations for Segment Formation
复制标题
线段形成耦合反应扩散方程中的空间周期域结构
DOI：
10.1143/jpsj.81.024802
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发表时间：
2011
影响因子：
1.7
通讯作者：
H.Sakaguchi
中科院分区：
文献类型：
--
作者：
K.Higuchi;M.Higuchi;H.Sakaguchi
体节形成是脊椎动物胚胎发育过程中图案形成的重要过程。这种模式的形成机制被认为是不同的图灵不稳定性。我们提出了反应扩散方程产生行波脉冲和耦合反应扩散方程的两个基因，产生一个域结构。接下来，我们构建了一个合成模型，通过结合耦合反应扩散方程。在对模型方程的数值模拟中发现了一种空间周期性的畴结构。结果表明，通过调节系统参数，可以控制空间周期图案的波长以及每段中前后域的大小比例。
Segment formation is an important process of pattern formation in the developing vertebrate embryo. The mechanism of such pattern formation is considered to be different from that of Turing instability. We propose reaction–diffusion equations generating traveling pulses and coupled reaction–diffusion equations for two genes that generate a domain structure. Next, we construct a synthetic model for segment formation by combining the coupled reaction–diffusion equations. A spatially periodic domain structure is found in the numerical simulation of the model equation. It is shown that the wavelength of the spatially periodic pattern and the proportion of the sizes of the anterior and posterior domains in each segment can be controlled by adjusting some system parameters.