Othmer H G, Pate E
Proc Natl Acad Sci U S A. 1980 Jul;77(7):4180-4. doi: 10.1073/pnas.77.7.4180.
We propose a reaction-diffusion model of spatial pattern formation whose solutions can exhibit scale-invariance over any desired range for suitable choices of parameters in the model. The model does not invoke preset polarity or any other ad hoc distinction between cells and provides a solution to the French flag problem without sources at the boundary. Furthermore, patterns other than the polar pattern that usually arises first in a growing one-dimensional system described by Turing's model can be obtained. Evidence is given that suggests that the model may apply in the slug stage of Dictyostelium discoideum.
我们提出了一种空间模式形成的反应扩散模型，对于模型中参数的适当选择，其解可以在任何所需范围内表现出尺度不变性。该模型不引入预设的极性或细胞之间的任何其他特设区别，并且在边界无源的情况下解决了法国国旗问题。此外，除了通常在图灵模型描述的一维生长系统中首先出现的极性模式之外，还可以获得其他模式。有证据表明该模型可能适用于盘基网柄菌的蛞蝓阶段。
