BIOLOGICAL ORGANIZATION AND ANTI-ENTROPY
BIOLOGICAL ORGANIZATION AND ANTI-ENTROPY
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DOI：
10.1142/s0218339009002715
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发表时间：
2009-03-01
影响因子：
1.6
通讯作者：
Longo, Giuseppe
中科院分区：
文献类型：
--
作者：
Bailly, Francis;Longo, Giuseppe
本文提出了一个系统的观点，在“反熵”，这一概念将在下文中定义，并从概念上不同于常用的“负熵”的术语来表达生物组织的发育和个体发育的某些方面。为此目的，我们介绍两个原则，除了热力学的，这是（数学）与传统的原则，但没有意义的惰性物质。一个传统的新陈代谢平衡方程将被扩展到这些原则所规定的新概念。我们研究远离平衡系统，我们特别关注与过程的不可逆性相关的全局熵的产生。反熵的详细分析将从生物量的扩散方程的角度进行“复杂性”，作为一种补充方法和指定源项的工具，与薛定谔关于他在量子力学领域的方程的方法有关。我们只从这个方程中借用运算方法，并使用经典框架，因为我们使用真实的系数而不是复系数，因此落在量子理论的数学框架之外。我们的建议的第一个应用是一个简单的数学重建古尔德的生物量的复杂性曲线的复杂性，因为它适用于进化。然后，我们提出，基于存在不同的时间尺度，个体发育时间的分区，在参考熵和反熵变化。在此基础上，分析了系统的新陈代谢和标度律。这允许比较这些标度律中出现的各种相关系数，这些系数适合经验数据。最后，提出了一个试探性的和定量的复杂性评价，也与一些经验数据（秀丽隐杆线虫）。
This paper proposes a systemic perspective for some aspects of both phylogenesis and ontogenesis by expressing biological organization in terms of "anti-entropy", a notion to be defined below and which conceptually differs from the common use of "negative entropy". To this purpose, we introduce two principles, in addition to the thermodynamic ones, which are (mathematically) compatible with traditional principles but which have no meaning with regard to inert matter. A traditional balance equation for the metabolism will then be extended to the new notion as specified by these principles. We examine 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 anti-entropy will be performed from the perspective 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 Schrodinger's method regarding his equation in the field of Quantum Mechanics. We borrow only the operatorial approach from this equation and do so using a classical framework, since we use real coefficients instead of complex ones, thus falling outside of the mathematical framework of quantum theories. The first application of our proposal is a simple mathematical reconstruction of Gould's complexity curve of biomass over complexity as it applies to evolution. We then present, based on the existence of different time scales, a partition of ontogenetic time, in reference to entropy and anti-entropy variation. On the grounds of this approach, we analyze the metabolism and scaling laws. This allows to compare various relevant coefficients appearing in these scaling laws, which fit empirical data. Finally, a tentative and quantitative evaluation of complexity is proposed, also in relation to some empirical data (Caenorhabditis elegans).