摘要翻译：
生物适应的概念从一开始就与一些数学、工程和物理思想密切相关。坎农在他的《身体的智慧》(1932)中使用了调控的工程学视野。1938年，Selye通过适应能量的概念丰富了这一方法。当一个人从字面上理解这个术语时，即作为一种能量，这个术语会引起很多争论。塞莱没有使用数学的语言，但是他的现象学理论在热力学精神下的形式化是简单的，并导致了可验证的预言。20世纪80年代，人们研究了系统在环境因素负载下的相关性和方差动力学，发现了系统在相似因素负载下的普遍效应：在危机中，通常甚至在明显的压力症状出现之前，相关性与方差（和波动性）一起增加。在30年中，对人类、老鼠、树木、草本植物和金融时间序列的许多观察都支持了这种效应。在过去的十年里，这些结果得到了许多新实验的补充，从心脏病学和肿瘤学的基因网络到抑郁症的动力学和临床心理治疗。发展了几个模型体系：系综适应的热力学理论和几个个体适应的模型族。从历史上看，第一组模型是基于Selye的适应能量概念，并使用适应度估计。另外两组模型是基于隐吸引子分岔的思想和基于生理属性空间中种群分布的平流-扩散模型。我们探索这个模型和实验的世界，从经典作品开始，特别关注过去十年的结果和开放的问题。
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英文标题：
《Dynamic and Thermodynamic Models of Adaptation》
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作者：
A.N. Gorban, T.A. Tyukina, L.I. Pokidysheva, E.V. Smirnova
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最新提交年份：
2021
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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：
  The concept of biological adaptation was closely connected to some mathematical, engineering and physical ideas from the very beginning. Cannon in his "The wisdom of the body" (1932) used the engineering vision of regulation. In 1938, Selye enriched this approach by the notion of adaptation energy. This term causes much debate when one takes it literally, i.e. as a sort of energy. Selye did not use the language of mathematics, but the formalization of his phenomenological theory in the spirit of thermodynamics was simple and led to verifiable predictions. In 1980s, the dynamics of correlation and variance in systems under adaptation to a load of environmental factors were studied and the universal effect in ensembles of systems under a load of similar factors was discovered: in a crisis, as a rule, even before the onset of obvious symptoms of stress, the correlation increases together with variance (and volatility). During 30 years, this effect has been supported by many observations of groups of humans, mice, trees, grassy plants, and on financial time series. In the last ten years, these results were supplemented by many new experiments, from gene networks in cardiology and oncology to dynamics of depression and clinical psychotherapy. Several systems of models were developed: the thermodynamic-like theory of adaptation of ensembles and several families of models of individual adaptation. Historically, the first group of models was based on Selye's concept of adaptation energy and used fitness estimates. Two other groups of models are based on the idea of hidden attractor bifurcation and on the advection--diffusion model for distribution of population in the space of physiological attributes. We explore this world of models and experiments, starting with classic works, with particular attention to the results of the last ten years and open questions.
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PDF链接：
https://arxiv.org/pdf/2103.01959