The chemical basis of morphogenesis

IF 2.2 4区 数学 Q2 BIOLOGY
A. Turing
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引用次数: 11399

Abstract

It is suggested that a system of chemical substances, called morphogens, reacting together and diffusing through a tissue, is adequate to account for the main phenomena of morphogenesis. Such a system, although it may originally be quite homogeneous, may later develop a pattern or structure due to an instability of the homogeneous equilibrium, which is triggered off by random disturbances. Such reaction-diffusion systems are considered in some detail in the case of an isolated ring of cells, a mathematically convenient, though biologically unusual system. The investigation is chiefly concerned with the onset of instability. It is found that there are six essentially different forms which this may take. In the most interesting form stationary waves appear on the ring. It is suggested that this might account, for instance, for the tentacle patterns onHydra and for whorled leaves. A system of reactions and diffusion on a sphere is also considered. Such a system appears to account for gastrulation. Another reaction system in two dimensions gives rise to patterns reminiscent of dappling. It is also suggested that stationary waves in two dimensions could account for the phenomena of phyllotaxis.The purpose of this paper is to discuss a possible mechanism by which the genes of a zygote may determine the anatomical structure of the resulting organism. The theory does not make any new hypotheses; it merely suggests that certain well-known physical laws are sufficient to account for many of the facts. The full understanding of the paper requires a good knowledge of mathematics, some biology, and some elementary chemistry. Since readers cannot be expected to be experts in all of these subjects, a number of elementary facts are explained, which can be found in text-books, but whose omission would make the paper difficult reading.
形态发生的化学基础
有人认为,一种称为形态发生因子的化学物质系统,在组织中相互作用并扩散,足以解释形态发生的主要现象。这样一个系统,虽然它最初可能是相当均匀的,但由于均匀平衡的不稳定性,它可能后来发展出一种模式或结构,这是由随机干扰引发的。这种反应扩散系统在一个孤立的细胞环的情况下被详细考虑,这是一个数学上方便的系统,尽管生物学上不寻常。调查主要是关于不稳定的开始。可以发现,这可能有六种本质上不同的形式。最有趣的形式是静止波出现在环上。有人认为,这也许可以解释,例如,九头蛇的触手图案和轮转的叶子。还考虑了球上的反应和扩散系统。这种系统似乎解释了原肠胚形成。另一个二维的反应系统会产生类似斑点的图案。本文还提出二维的驻波可以解释叶状趋向性现象。本文的目的是讨论一种可能的机制,通过这种机制,合子的基因可以决定所产生的有机体的解剖结构。这个理论没有提出任何新的假设;它仅仅表明某些众所周知的物理定律足以解释许多事实。要全面理解这篇论文,需要具备良好的数学知识、一些生物学知识和一些基础化学知识。由于读者不能被期望成为所有这些学科的专家,一些基本的事实被解释,这些可以在教科书中找到,但它们的遗漏会使论文难以阅读。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
3.90
自引率
8.60%
发文量
123
审稿时长
7.5 months
期刊介绍: The Bulletin of Mathematical Biology, the official journal of the Society for Mathematical Biology, disseminates original research findings and other information relevant to the interface of biology and the mathematical sciences. Contributions should have relevance to both fields. In order to accommodate the broad scope of new developments, the journal accepts a variety of contributions, including: Original research articles focused on new biological insights gained with the help of tools from the mathematical sciences or new mathematical tools and methods with demonstrated applicability to biological investigations Research in mathematical biology education Reviews Commentaries Perspectives, and contributions that discuss issues important to the profession All contributions are peer-reviewed.
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