Directionality of stripes formed by anisotropic reaction-diffusion models.
Directionality of stripes formed by anisotropic reaction-diffusion models.
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由各向异性反应扩散模型形成的条纹的方向性。
DOI：
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发表时间：
2002
影响因子：
2
通讯作者：
Shigeru Kondo
中科院分区：
文献类型：
--
作者：
Hiroto Shoji;Y. Iwasa;A. Mochizuki;Shigeru Kondo
图灵机制解释了在均匀场中两种物质局部相互作用并随机扩散的条纹图案的形成。在一个双胞胎的文件中，解释的方向性条纹的鱼皮在密切相关的物种，我们研究了各向异性扩散的两种物质上的条纹的方向的影响，在这种情况下，这两种物质在同一方向上具有高扩散率。在本文中，我们研究的方向条纹在更一般的情况下，其中的扩散方向可能不同的两种物质之间。我们推导出一个公式的条纹的方向，启发式参数的不稳定模式的偏差从均匀的稳定状态的基础上。通过计算机模拟验证了公式的正确性。当两种物质的扩散方向不同时，空间图案中条纹的方向随两种物质的各向异性的大小而平滑地变化。当两种物质的扩散方向相同时，根据各向异性的相对大小，形成平行于或垂直于共同扩散方向的条纹。这两个阶段之间的过渡急剧发生。
Turing mechanism explains the formation of striped patterns in a uniform field in which two substances interact locally and diffuse randomly. In a twin paper, to explain the directionality of stripes on fish skin in closely related species, we studied the effect of anisotropic diffusion of the two substances on the direction of stripes, in the cases in which both substances have high diffusivity in the same direction. In this paper, we study the direction of stripes in more general situations in which the diffusive direction may differ between the two substances. We derive a formula for the direction of stripes, based on a heuristic argument of unstable modes of deviation from the uniform steady state. We confirm the accuracy of the formula by computer simulations. When the diffusive direction is different between two substances, the directions of stripes in the spatial pattern change smoothly with the magnitude of anisotropy of two substances. When the diffusive direction of the two substances is the same, the stripes are formed either parallel or perpendicular to the common diffusive direction, depending on the relative magnitude of the anisotropy. The transition between these two phases occurs sharply.
DOI：
10.1098/rstb.2000.0769
发表时间：
2001-03-29
影响因子：
6.3
作者：
Bressloff, PC;Cowan, JD;Wiener, MC
通讯作者：
Wiener, MC
DOI：
10.1073/pnas.96.10.5549
发表时间：
1999-05-11
影响因子：
11.1
作者：
Painter, KJ;Maini, PK;Othmer, HG
通讯作者：
Othmer, HG