A MODEL FOR PATTERN-FORMATION ON THE SHELLS OF MOLLUSKS
A MODEL FOR PATTERN-FORMATION ON THE SHELLS OF MOLLUSKS
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DOI：
10.1016/s0022-5193(87)80101-7
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发表时间：
1987-05-07
影响因子：
2
通讯作者：
KLINGLER, M
中科院分区：
文献类型：
--
作者：
MEINHARDT, H;KLINGLER, M
基于反应扩散机制的模型，提出了产生的色素沉着和救济生活模式的软体动物壳。他们扩展了早期的模型来描述更复杂模式的形成。壳层花样是一维花样形成过程沿生长边沿着的时间记录。斜线是由活化（色素产生）的行波产生的。分支和交叉是由色素产生的振荡模式暂时转变为稳态模式造成的。纸板或网状图案需要具有至少三种组分的系统，一种被两种抑制剂拮抗的自催化物质，一种在空间上产生图案的可扩散抑制物质，以及一种在时间上负责图案的不可扩散抑制物质。波浪线、点行和鱼骨状图案可以由两种图案的叠加产生：在时间上稳定的图案控制颜料产生过程的振荡频率。通过计算机模拟，它表明，该模型不仅再现了自然模式的细节，但也占模式调节，如观察到的一些物种受伤后。
Models based on reaction-diffusion mechanisms are proposed for the generation of pigmentation and relief-life patterns on mollusc shells. They extend an earlier model to describe the formation of more complex patterns. Shell patterns are time records of a one-dimensional pattern forming process along the growing edge. Oblique lines result from travelling waves of activation (pigment production). Branches and crossings result from a temporary shift from an oscillatory into a steady state mode of pigment production. Checkerboard or meshwork-like patterns require systems with at least three components, one autocatalytic substance antagonized by two inhibitions, a diffusible inhibiting substance which generates the pattern in space and a non-diffusible one which is responsible for the pattern in time. Wavy lines, rows of dots and fish-bone like patterns can result from the superposition of two patterns: a pattern which is stable in time controls the oscillation frequency of the pigment-producing process. By computer simulations it is shown that the models reproduce not only fine details of the natural pattens but account also for pattern regulation such as observed on some species after injury.