形态发生的几何学与形态发生场概念

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摘要翻译：
形态发生过程是生命科学中最令人感兴趣的奥秘之一，它可以被定义为有机体形态的进化过程。很明显，基因表达模式不能解释生物体及其部分在空间中精确几何学的发展。在这里，我们提出了一组公设和可能的方法，以发现分子生物学信息与其在给定的有机体几何中的实现之间的对应关系。首先，我们认为生物体及其各部分的几何学是由位于细胞表面的分子密码编码的，这样，每个细胞都可以有一个包含这种密码的相应的矩阵。作为一个特殊的模型，我们提出了几种类型的糖结合物的低聚糖残基编码。其次，我们提出了细胞事件的概念，并将发育描述为细胞事件树，在细胞事件下我们理解细胞状态的变化，如细胞分裂、细胞生长/死亡、转移或分化等过程。接下来，我们建议使用“形态发生场”的概念来描述这些细胞运动规律，该场的意思是“细胞空间”上的“事件空间”中的一个对象，它控制编码的生物信息转化为给定细胞的细胞事件的指示信号，这取决于细胞在发育胚胎中的位置。每一次细胞事件发生后，细胞表面的基质会根据生物体的形态发生场所规定的规律发生变化。最后，我们对细胞表面的形态发生密码、细胞运动规律和胚胎几何形状之间的联系提出了一些看法。
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英文标题：
《The Geometry of Morphogenesis and the Morphogenetic Field Concept》
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作者：
Nadya Morozova, Mikhail Shubin
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最新提交年份：
2013
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分类信息：

一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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一级分类：Mathematics        数学
二级分类：Differential Geometry        微分几何
分类描述：Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis
复形，接触，黎曼，伪黎曼和Finsler几何，相对论，规范理论，整体分析
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一级分类：Physics        物理学
二级分类：General Physics        普通物理学
分类描述：Description coming soon
描述即将到来
--

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英文摘要：
  The process of morphogenesis, which can be defined as an evolution of the form of an organism, is one of the most intriguing mysteries in the life sciences. It is clear, that gene expression patterns cannot explain the development of the precise geometry of an organism and its parts in space. Here, we suggest a set of postulates and possible approaches for discovering the correspondence between molecular biological information and its realization in a given geometry of an organism in space-time. First, we suggest that the geometry of the organism and its parts is coded by a molecular code located on the cell surfaces in such a way that, with each cell, there can be associated a corresponding matrix, containing this code. As a particular model, we propose coding by several types of oligosaccharide residues of glycoconjugates. Second, we provide a notion of cell event, and suggest a description of development as a tree of cell events, where under cell event we understand the changing of cell state, e.g. the processes of cell division, cell growth/death, shift or differentiation. Next we suggest describing these cell motion laws using the notion of a "morphogenetic field", meaning by the field an object in an "event space" over a "cell space", which govern the transformation of the coded biological information into an instructive signal for a cell event for a given cell, depending on the position of a cell in the developing embryo. The matrix on a cell surface will be changed after each cell event according to the rule(s) dictated by the morphogenetic field of an organism. Finally, we provide some ideas on the connection between morphogenetic code on a cell surface, cell motion law(s) and the geometry of an embryo.
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PDF链接：
https://arxiv.org/pdf/1205.1158

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关键词：几何学 Quantitative Differential QUANTITATIV Development 规律 morphogenetic field 提出 细胞