摘要翻译：
本文根据Schroedinger的一些提示，根据生物组织为负熵的概念，对系统发育和个体发育的某些方面提出了一个系统的观点。为此，我们在热力学原理中引入了另外两个原理，它们（在数学上）与传统原理相容，但在惰性物质中没有意义。传统的新陈代谢平衡方程将被扩展到这些原理所规定的新概念。我们考虑的远不是平衡系统，我们特别关注与过程的不可逆特性相关的全局熵的产生。将从生物量在复杂度上的扩散方程的角度，以及作为补充方法和作为指定源项的工具，结合Schroedinger在量子力学中对他的方程的方法，对这一项进行密切的分析。我们从这个方程中借用的只是操作方法，这是在经典框架中，因为我们使用实系数而不是复数系数，因此远离了量子理论的数学框架。我们的建议的第一个应用是简单的数学重建古尔德的生物量对复杂性曲线，就进化而言。然后，我们从不同时间尺度的存在出发，从熵和负熵变的角度阐述了个体发育时间的划分。在此基础上，我们分析了新陈代谢和标度律。这允许比较出现在这些标度律中的各种相关系数，这些系数似乎符合经验数据。最后，根据一些经验数据（秀丽隐杆线虫），提出了一个尝试性的和定量的复杂性评估。
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英文标题：
《Biological Organization and Negative Entropy: Based on Schroedinger's
  reflections》
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作者：
Francis Bailly, Giuseppe Longo
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最新提交年份：
2008
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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：
  This paper proposes a systemic perspective for some aspects of both phylogenesis and ontogenesis, in the light of the notion of biological organization as negative entropy, following some hints by Schroedinger. To this purpose, we introduce two extra principles to the thermodynamic ones, which are (mathematically) compatible with the traditional principles, but have no meaning in inert matter. A traditional balance equation for metabolism will be then extended to the new notion as specified by these principles. We consider far from equilibrium systems and we focus in particular on the production of global entropy associated to the irreversible character of the processes. A close analysis of this term will be carried on, both in terms of a diffusion equation of biomass over complexity and, as a complementary approach and as a tool for specifying a source term, in connection to Schroedinger's method for his equation in Quantum Mechanics. We borrow from this equation just the operatorial approach and, this, in a classical frame, as we use real coefficients instead of complex ones, away thus from the mathematical frame of quantum theories. The first application of our proposal is a simple mathematical reconstruction of Gould's complexity curve of biomass over complexity, as for evolution. We then elaborate, from the existence of different time scales, a partition of ontogenetic time, in reference to entropy and negative entropy variation. On the grounds of this approach, we analyze metabolism and scaling laws. This allows to compare various relevant coefficients appearing in these scaling laws, which seem to fit empirical data. Finally, a tentative and quantitative evaluation of complexity is proposed, also in relation to some empirical data (caenorhabditis elegans).
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PDF链接：
https://arxiv.org/pdf/0801.2038