Krebs代谢过程的非线性自组织动力学 循环

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摘要翻译：
本工作继续研究克雷布斯循环代谢过程的数学模型。我们研究了它的循环性与由二氧化碳形成水平决定的细胞呼吸强度的依赖关系。我们构建了细胞对底物消耗的相参数特征，这取决于氧化最终产物形成的代谢过程的强度。构造并研究了系统所有可能振荡模式的情景。发现了具有倍周期和混沌模式形成的分叉现象。构造了它们的吸引子。计算了所得模的指数和发散度的全谱、KS-熵值、可预测范围和奇异吸引子的Lyapunov维数。本文介绍了三羧酸循环的结构-功能联系及其对细胞内代谢过程稳定性的影响。
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英文标题：
《Nonlinear Self-organization Dynamics of a Metabolic Process of the Krebs
  Cycle》
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作者：
V.I. Grytsay, I.V. Musatenko
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最新提交年份：
2018
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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：Chaotic Dynamics        混沌动力学
分类描述：Dynamical systems, chaos, quantum chaos, topological dynamics, cycle expansions, turbulence, propagation
动力系统，混沌，量子混沌，拓扑动力学，循环展开，湍流，传播
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英文摘要：
  The present work continues studies of the mathematical model of a metabolic process of the Krebs cycle. We study the dependence of its cyclicity on the cell respiration intensity determined by the formation level of carbon dioxide. We constructed the phase-parametric characteristic of the consumption of a substrate by a cell depending on the intensity of the metabolic process of formation of the final product of the oxidation. The scenarios of all possible oscillatory modes of the system are constructed and studied. The bifurcations with period doubling and with formation of chaotic modes are found. Their attractors are constructed. The full spectra of indices and divergencies for the obtained modes, the values of KS-entropies, horizons of predictability, and Lyapunov dimensions of strange attractors are calculated. Some conclusions about the structural-functional connections of the cycle of tricarboxylic acids and their influence on the stability of the metabolic process in a cell are presented.
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PDF链接：
https://arxiv.org/pdf/1804.04623

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关键词：EBS 自组织 非线性 动力学 Quantitative 研究 constructed intensity 呼吸 代谢