生物系统概念：基本功能要素与度量 属性

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摘要翻译：
生物系统或仅仅是一个系统的概念意味着由系统组件组成的功能整体。正反馈和负反馈是如何在实践中成功地将整个功能结构中的解剖元素结合起来来解释生物学和医学中的调节机制的例子。有许多例子表明，功能和代谢途径不受反馈回路的调节，具有相互关系的结构。正反馈、负反馈和互反链接表示特殊线性群sl(2，R)的李代数sl(2，R)的三个基元。提出数学群结构可以通过三个调节要素来实现，发挥生物系统功能基础的作用。基元的结构赋予生物变量空间以不定度量。度量结构类似于Minkowski的时空(+，-，-)，使得生物变量的载体空间和变换空间不均匀。它赋予生物系统丰富的功能结构，赋予调控元件特殊的差异特征，形成稳定的、可还原为一维成分的自主子系统。
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英文标题：
《Conception of Biologic System: Basis Functional Elements and Metric
  Properties》
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作者：
Garri Davydyan
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最新提交年份：
2014
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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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英文摘要：
  A notion of biologic system or just a system implies a functional wholeness of comprising system components. Positive and negative feedback are the examples of how the idea to unite anatomical elements in the whole functional structure was successfully used in practice to explain regulatory mechanisms in biology and medicine. There are numerous examples of functional and metabolic pathways which are not regulated by feedback loops and have a structure of reciprocal relationships. Expressed in the matrix form positive feedback, negative feedback, and reciprocal links represent three basis elements of a Lie algebra sl(2,R)of a special linear group SL(2,R). It is proposed that the mathematical group structure can be realized through the three regulatory elements playing a role of a functional basis of biologic systems. The structure of the basis elements endows the space of biological variables with indefinite metric. Metric structure resembles Minkowski's space-time (+, -, -) making the carrier spaces of biologic variables and the space of transformations inhomogeneous. It endows biologic systems with a rich functional structure, giving the regulatory elements special differentiating features to form steady autonomous subsystems reducible to one-dimensional components.
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PDF链接：
https://arxiv.org/pdf/1406.0094

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关键词：基本功能 生物系 基本功 Quantitative relationship 度量 子系统 例子 互反 biologic