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摘要翻译：
我们将有氧细胞的代谢过程建模为开放的非线性耗散系统。构建了代谢路径图和参与类固醇转化的耗散系统的一般方案。我们研究了Krebs循环对整个代谢过程动力学的影响，并构造了奇异吸引子模式下的相图投影。计算了给定模态的Lyapunov指数、发散度、Lyapunov分形维数、Kolmogorov-Sinai熵和可预报层的总谱。我们确定了分叉图，它显示了动力学对一个小参数的依赖关系，这个小参数定义了系统的物理状态。
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英文标题：
《Autooscillatory Dynamics in a Mathematical Model of the Metabolic
Process in Aerobic Bacteria. Influence of the Krebs Cycle on the
Self-Organization of a Biosystem》
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作者：
V.I. Grytsay, A.G. Medentsev, A.Yu. Arinbasarova
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最新提交年份：
2020
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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：Physics 物理学
二级分类：Adaptation and Self-Organizing Systems 自适应和自组织系统
分类描述：Adaptation, self-organizing systems, statistical physics, fluctuating systems, stochastic processes, interacting particle systems, machine learning
自适应，自组织系统，统计物理，波动系统，随机过程，相互作用粒子系统，机器学习
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英文摘要：
We have modeled the metabolic process running in aerobic cells as open nonlinear dissipative systems. The map of metabolic paths and the general scheme of a dissipative system participating in the transformation of steroids are constructed. We have studied the influence of the Krebs cycle on the dynamics of the whole metabolic process and constructed projections of the phase portrait in the strange attractor mode. The total spectra of Lyapunov exponents, divergences, Lyapunov's dimensions of the fractality, Kolmogorov--Sinai entropies, and predictability horizons for the given modes are calculated. We have determined the bifurcation diagram presenting the dependence of the dynamics on a small parameter, which defines system's physical state.
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PDF链接：
https://arxiv.org/pdf/2006.04679
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